Josh is a product designer for electrical company he designed a new table lamp Josh will use plastic to make the lamp he uses this formula to work out the amount of plastic needed P= b2 +2bh.the lenght of the base of the lamo will be 13cm the slope of the lamp will be 34cm.josh thinks the amount of plastic needed will be less than 1000cm2​

Answers

Answer 1

Answer:

Josh is right, he needs less than 1000 square centimeters.

Step-by-step explanation:

We can find the height using Pythagorean's Theorem.

[tex]34^{2} =13^{2} +h^{2} \\h=\sqrt{1,156-169}=\sqrt{987} \approx 31[/tex]

So, the height is 31 centimeters, approximately.

Now, we use the given expression and the base and height

[tex]P=b^{2} +2bh=13^{2}+2(13)(31)=169+806=975 \ cm^{2}[/tex]

Therefore, Josh is right, he needs less than 1000 square centimeters. Specifically, he needs 975 square centimeters.


Related Questions

Sally wants to fill ten 8-inch tea glasses. How much tea does she need?
A) 80 ounces
B) 40 ounces
C) 80 cubic inches
D) Not enough information to answer

Answers

Answer

I believe C considering cubic mass

Answer:

D

Step-by-step explanation:

Which of these quadrilaterals are rectangles?

Answers

Answer:Parallelogram, rhombus ,square

Step-by-step explanation:

Which of the following is the image of C after a rotation of 180° about the origin?
A. (-5,2)
B. (-5, -2)
C. (-2,5)

Answers

Answer:

A: (-5,2)

Step-by-step explanation:

algebraically, a 180 rotation about the origin switches the original coordinates of (x,y) to (-x,-y), so the answer would be (-5,2) after plugging the numbers into this formula

Which rules give a repeating pattern that has a 4 as the 27th number?
Select all that apply.
A. 7. 4.
B. 7, 7, 4
C. 3, 4.6
D.7. 1.4
E. 5. 4.9

Answers

Answer:

i think the answer is b i think i am not sure if that is right but if it is wrong please tell me please :(

Step-by-step explanation:

It takes you 3/8 of a hour to walk 9/10 of a mile. How far can you walk in 2 hours?

Answers

Answer:

Velocity = distance / time

Velocity = (9/10) / (3/8)

Velocity = (9/10) * (8/3) = 72 / 30 =24 / 10 = 2.4 miles per hour

Therefore, you could walk 4.8 miles in 2 hours.

Step-by-step explanation:

Answer:4.8 miles

Step-by-step explanation:

3/8 of an hour to walk 9/10 of a mile

2 hour to walk ____

Distance walked in 2hr=(2x9/10) ➗ 3/8

Distance walked in 2hr=18/10 ➗ 3/8

Distance walked in 2hr=18/10 x 8/3

Distance walked in 2hr=(18x8) ➗ (10x3)

Distance walked in 2hr=144 ➗ 30

Distance walked in 2hr=4.8 miles

Write eight and fifteen hundredths in decimal notation

Answers

Answer:

8.15

Step-by-step explanation:

Answer:

0.08, 0.15

Step-by-step explanation:

Giving brainliest for CORRECT awnser.

Answers

Answer:

x=8±√35

Step-by-step explanation:

x^2-16x+50=21

Use the formula (b/2)^2 in order to create a new term. Solve for x

by using this term to complete the square.

Exact Form:

x=±√35+8

Decimal Form:

x=13.91607978…,2.08392021…

Which of these are characteristics of good experimental design? Check all that apply. Good experimental design uses different methods for trials in an experiment. Good experimental design allows scientists to replicate experiments. Good experimental design tests only one variable at a time. Good experimental design plans how to record data so the data can be published. Good experimental design involves only one trial in an experiment. Good experimental design includes logging every step and data point of the experiment.

Answers

Answer:21

Step-by-step explanation:9+10

Answer:

B,C,D.F

Step-by-step explanation:

Plz help me find the area of this polygon

Answers

Answer:

It is 4

Step-by-step explanation: To find the area you multiply the numbers.

Yuri's sister Karina is 12 years old. In the equation below, y represents Yuri's age in years.
12 - 3y-2
Which statement accurately relates their ages?
Yuri is 3 years younger than twice Karina's age.
Yuri is 2 years younger than triple Karina's age
Karina is 3 years younger than twice Yuri's age.
O Karina is 2 years younger than triple Yuri's age.

Answers

Answer:

Karina is 2 years younger than triple Yuri’s age

Step-by-step explanation:

two subtracted from 3 times yuri's age

Answer:

The correct option is D. Karina is 2 years younger than triple Yuri’s age.        

A footbridge has a span of 54 feet. A sign is
to be placed exactly halfway across the bridge. How far will the center of the sign be from each end of the bridge?

Answers

Answer:

27

Step-by-step explanation:

Because if it is halfway, that means

halfway=1/2

1/2=1/2 of 54

54/2 or 1/2 of 54=27

PLS MARK ME BRAINLIEST I NEED IT PLEASE

The center of the sign will be 27 feet apart from both ends of the bridge.

Given that,
A footbridge has a span of 54 feet. A sign is to be placed exactly halfway across the bridge. How far will the center of the sign be from each end of the bridge is to be determined.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

Here,

Since the bridge is 54 feet long,
Now at the center of the bridge, a sign is placed,
So the distance of sign from both ends is equal to half of the total length of the bridge. i.e.
= 54 / 2
= 27

Thus, the center of the sign will be 27 feet apart from both ends of the bridge.

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What is the volume of a sphere with a diameter of 6 m, rounded to the nearest tenth of a cubic meter?

Answers

Answer:113 cubic meter

Step-by-step explanation:

Diameter=6

Radius=r=6/2

Radius=r=3

π=3.14

Volume of sphere=4/3 x π x r x r x r

Volume of sphere=4/3 x 3.14 x 3 x 3 x 3

Volume of sphere=(4x3.14x3x3x3) ➗ 3

Volume of sphere=339.12 ➗ 3

Volume of sphere=113.04

Volume of sphere =113 cubic meter

14 points
At the college football game there were 48,000 people. If 77% of the
people at the game were supporters for the home team, how many
people were supporting the home team?*
11,040
36,960
62,338
36,000

Answers

Answer:

11,040 is the answer

Step-by-step explanation:

you just need to subtract

There are 36,960 people were supporting the home team.

What is the percentage?

A percentage is a minimum number or ratio that is measured by a fraction of 100.

At the college football game there were 48,000 people.

If 77% of the people at the game were supporters for the home team then we need to find how many people were supporting the home team.

x/ 48000 = 77/ 100

here plugging in all our numbers gives us .

x =  (77/ 100)48000

x = 36,960

Therefore, There are 36,960 people were supporting the home team.

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Determine whether the distribution is a discrete probability distribution. x 0 100 200 300 400 Upper P (x )0 0 0 0 1 Is the distribution a discrete probability​ distribution? A. Yes comma because the sum of the probabilities is equal to 1. B. Yes comma because the sum of the probabilities is equal to 1 and each probability is between 0 and 1 comma inclusive. C. No comma because the sum of the probabilties is not equal to 1. D. No comma because each probability is not between 0 and 1 comma inclusive.

Answers

Complete Question

Determine whether the distribution is a discrete probability distribution.

xP(x)

0   0.100

1   0.200

2  0.300

3  0.400

Is the distribution a discrete probability​ distribution?

A. Yes , because the sum of the probabilities is equal to 1.

B. Yes , because the sum of the probabilities is equal to 1 and each probability is between 0 and 1 comma inclusive.

C. No , because the sum of the probabilties is not equal to 1.

D. No , because each probability is not between 0 and 1 comma inclusive.

Answer:

The correct option is B

Step-by-step explanation:

From the question the probabilites are

        [tex]p_1 = 0.100[/tex]

        [tex]p_2 = 0.200[/tex]

        [tex]p_3 = 0.300[/tex]

        [tex]p_4 = 0.400[/tex]

The sum of the probability is  

       [tex]\sum p(x) = 0.100 + 0.200+ 0.300+ 0.400 = 1[/tex]

A little kid running a lemonade stand sells small and large beverages. Each small beverage sells for $2 and each large beverage sells for $5. Small beverages require 4 lemons and 6 tablespoons of sugar each. Large beverages require 5 lemons and 10 tablespoons of sugar each. She has 100 lemons and 180 tablespoons of sugar. How many of each beverage should she sell to maximize her earnings?

Answers

Answer:

No. of Small Beverage = x = 10

No. of Large Beverage = y = 12

Step-by-step explanation:

Analyzing the given situation, we can form two algebraic equations.

Since, she has 100 lemons and 4 lemons are required for small beverage, while 5 lemons are required for large beverage. So, we can form the equation:

4x + 5y = 100   --------- eqn (1)

where,

x = No. of small beverages sold

y = No. of large beverages sold

Similarly, she has 180 table spoons of sugar and 6 table spoons are required for small beverage, while 10 table spoons are required for large beverage. So, we can form the equation:

6x + 10y = 180   -------- eqn (2)

From eqn (1):

x = (100 - 5y)/4   ------- eqn (3)

Substituting this value of x in eqn (2)

(6)(100 - 5y)/4 + 10y = 180

10 y - 7.5 y= 180 - 150

2.5 y = 30

y = 30/2.5

y = 12

Using this value of y in eqn (3)

x = [100 - (5)(12)]/4

x = 10

Therefore, in order to maximize the earnings the kid should sell following number of each beverage:

No. of Small Beverage = x = 10

No. of Large Beverage = y = 12

add 5 1/2 kg to 450g​

Answers

1kg = 1000g

51/2 kg= 51/2×1000=51×500=25500g

25500g+450g= 25950g

Answer:

[tex]5950g[/tex]

Step-by-step explanation:

[tex]5 \frac{1}{2} kg \\ = 5kg \: 500g \\ = 5500g[/tex]

Now let's add.

[tex] \: \: \: \: \: \: 5500g \\ + \: \: \: \: 450g \\ =5950 g[/tex]

So the correct answer is,

[tex] = 5950g = 5kg \: 950g[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Find x , the missing side length in the right triangle

Answers

1. i would crop image to not show your email
2. the answer is x=16
You’re welcome

What is the volume of this cone

Answers

Answer:

6ix9ines a snitch

Step-by-step explanation:

aka rat

Select the correct symbol to compare the rates.
22 miles in 20 minutes 38 miles in 30 minutes

Answers

Answer:

<

Step-by-step explanation:

22/20=1.1

38/30=1.27

Answer:

<

Step-by-step explanation:

GIVING 100 POINTS FOR THESE 3 PROBLEMS

Answers

Answer:

Step-by-step explanation:

[tex]A=\frac{a+b}{2}*h=\frac{4+7}{2}*3=16.5cm^2[/tex]

[tex]A=\frac{ab}{2} =\frac{4*6}{2} =12in^2[/tex]

[tex]A=wl=6*5=30in^2[/tex]

[tex]12+30=42in^2[/tex]

[tex]A=\frac{a+b}{2}h=\frac{28+40}{2}*30=1020ft^2[/tex]

Wall = A=[tex]\frac{ab}{2} =\frac{6*30}{2}=90ft^2[/tex]

Answer:

16.5cm²42in²90ft²

Step-by-step explanation:

Question 1:

A = (a+b/2)h

A = (4+7/2)3

A = (11/2)3

A = (5.5)3

A = 16.5cm²

Question 2:

A = bh/2 = 6*4/2 = 24/2 = 12

A = bh = 6*5 = 30

A = 12 + 30 = 42

A = 42in²

Question 3:

A = (a+b/2)h

A = (28+40/2)30

A = (68/2)30

A = (34)30

A = 1020ft²

A = bh/2

A = 30*6/2

A = 180/2

A = 90ft²

Best of Luck!

Trust me, I swear to god I will give brainiest just help me out

Answers

Answer:

1286.8

Step-by-step explanation:

Volume of a cylinder is pi(r²)(h)

The radius is 6.4 and the height is 10

Answer:

1286.1 units³

Step-by-step explanation:

V = πr²h

= 3.14 x 6.4 x 6.4 x 10

= 3.14 x 409.6

= 1286.144 units³

= 1286.1 units³

convert the decimal 0.085to a percent​

Answers

Answer:

8.5%

Step-by-step explanation:

Answer:

8.5%

Step-by-step explanation:

0.085

1: Ignore the 0 and take the numbers that is 85

2: Add a percent

3: Answer is 8.5%

Hope this helps.

Giving BRAINLIEST for correct awnser! Factor the expression below.
36a^2-25b^2
Which of the following binomials is a factor of the expression?
A. 4a +25b
B. 4a +5b
C. 6a + 5b
D. 6a + 25b​

Answers

Answer:

C. 6a + 5b

Step-by-step explanation:

36a^2-25b^2

Rewriting as

(6a)^2 - (5b)^2

We know this is the difference of squares

(x^2 -y^2) = (x-y)(x+y)

(6a - 5b) (6a+5b)

Answer:

C. 6a + 5b

Step-by-step explanation:

36 is a perfect square, meaning it has two factors that are identical, being 6. 25 is also a perfect square, with its factors being 5, however, in this case, 25 is negative, so we need to have a positive 5 and a negative 5. This gives us:

(6a + 5b) (6a - 5b)

But, the answer choices only have (6a + 5b), so choice, "C," is the answer.

IL GIVE YOU BRAINLIST !! * have to get it right * The slope and y-intercept for a linear equation are given. Which graph matches this information?

Answers

Answer: either a or b

Step-by-step explanation:

Marcus has a life insurance policy that will pay his family $35,000 per year if
he dies. If interest rates are at 2.5% when the insurance company has to pay,
what is the amount of the lump sum that the insurance company must put
into a bank account?
O
A. $1 million
O
B. $350,000
O
C. $1.4 million
O
D. $3.5 million

Answers

The correct answer is $1.4 million

The insurance company must put $1.4 million into a bank account.

What is insurance?

Insurance is a way to manage your risk. When you buy insurance, you purchase protection against unexpected financial losses. The insurance company pays you or someone you choose if something bad happens to you.

Given that, Marcus has a life insurance policy that will pay his family $35,000 per year if he dies. the interest rates are at 2.5%, we need to find the amount of the lump sum that the insurance company must put into a bank account,

Considering that the interest is Simple interest,

So, SI = PRT / 100

Here, the interest is 35000, P we need to find, r = 2.5 and T = 1

35000 = 2.5P/100

3500000 = 2.5P

P = 1400000

P = 1.4 millions

Hence, the insurance company must put $1.4 million into a bank account.

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Suppose the probability of an athlete taking a certain illegal steroid is 10%. A test has been developed to detect this type of steroid and will yield either a positive or negative result. Given that the athlete has taken this steroid, the probability of a positive test result is 0.995. Given that the athlete has not taken this steroid, the probability of a negative test result is 0.992. Given that a positive test result has been observed for an athlete, what is the probability that they have taken this steroid

Answers

Answer:

93.25% probability that they have taken this steroid

Step-by-step explanation:

Bayes Theorem:

Two events, A and B.

[tex]P(B|A) = \frac{P(B)*P(A|B)}{P(A)}[/tex]

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

In this question:

Event A: Positive test

Event B: Taking the steroid.

Suppose the probability of an athlete taking a certain illegal steroid is 10%.

This means that [tex]P(B) = 0.1[/tex]

Given that the athlete has taken this steroid, the probability of a positive test result is 0.995.

This means that [tex]P(A|B) = 0.995[/tex]

Positive test:

99.5% of 10%(If the athlete has taken).

100-99.2 = 0.8% of 100-10 = 90%(Athlete has not taken)

Then

[tex]P(B) = 0.995*0.1 + 0.008*0.9 = 0.1067[/tex]

Given that a positive test result has been observed for an athlete, what is the probability that they have taken this steroid

[tex]P(B|A) = \frac{P(B)*P(A|B)}{P(A)} = \frac{0.1*0.995}{0.1067} = 0.9325[/tex]

93.25% probability that they have taken this steroid

The "Jupiter Bar" is a candy bar that is only manufactured and sold in one size. Tens of thousands of bars are manufactured every day. Nutritional content appears on the bar's wrapper, including a statement that a given bar has a sodium content of 96 milligrams.
Due to variability inherent in all manufacturing, we know that some bars would have slightly less than 96 milligrams of sodium and some bars would have more than 96 milligrams of sodium even if the value of "96 milligrams" appears on the wrapper. However, there is a concern that the average sodium content in all Jupiter Bars is actually more than 96 milligrams, and we have been asked to investigate.
Below are the sodium measurements (in milligrams) from a sample of 20 Jupiter Bars:
88 93 99 104
98 103 96 99
111 90 108 98
101 112 104 102
105 101 95 104
Summary statistics:
n = 20
sample mean = 100.55
sample standard deviation = 6.304
Q = 97: median = 101: Q3 = 104
a) Test whether the sample provides evidence at the 5% level of significance that the average sodium content in all Jupiter Bars is actually more than 96 milligrams.

Answers

Answer:

We conclude that the average sodium content in all Jupiter Bars is actually more than 96 milligrams.

Step-by-step explanation:

We are given that there is a concern that the average sodium content in all Jupiter Bars is actually more than 96 milligrams, and we have been asked to investigate.

Summary statistics:

n = 20

sample mean = 100.55

sample standard deviation = 6.304

Q = 97: median = 101: Q3 = 104

Let [tex]\mu[/tex] = average sodium content in all Jupiter Bars.

So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu[/tex] = 96 milligrams     {means that the average sodium content in all Jupiter Bars is equal to 96 milligrams}

Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] > 96 milligrams     {means that the average sodium content in all Jupiter Bars is actually more than 96 milligrams}

The test statistics that would be used here One-sample t test statistics as we don't know about the population standard deviation;

                       T.S. =  [tex]\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }[/tex]  ~ [tex]t_n_-_1[/tex]

where, [tex]\bar X[/tex] = sample mean sodium content = 100.55

            s = sample standard deviation = 6.304

            n = sample of Jupiter bars = 20

So, the test statistics  =  [tex]\frac{100.55-96}{\frac{6.304}{\sqrt{20} } }[/tex]  ~ [tex]t_1_9[/tex]

                                       =  3.228

The value of t test statistics is 3.228.

Now, at 5% significance level the t table gives critical value of 1.729 at 19 degree of freedom for right-tailed test.

Since our test statistic is more than the critical value of t as 3.228 > 1.729, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that the average sodium content in all Jupiter Bars is actually more than 96 milligrams.

what type of function has a common rate of change

Answers

Answer:

  linear

Step-by-step explanation:

A linear function has a constant rate of change.

_____

The word "common" is usually used to refer to a shared characteristic of two or more entities. It would not ordinarily be used to describe a characteristic of one function. We're not quite sure what you mean by "has a common rate of change."

What is the variable for setting an alarm clock

Answers

Answer: The time in which the alarm clock will sound.

Step-by-step explanation:

The variable is something that can change or be changed.

So in the case of the alarm clock, the variable is the number that you select, which is the number (or hour) in which the alarm clock will make noise, because you have total freedom to change it.

What does (h,k) standard for in the standard circle equation?

Answers

Answer:It stands for the center of the equation

Step-by-step explanation:

(x-h)^2+(x-k) ^2=r^2

(h, k) stand for the center of the equation

while r stands for the radius

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5. Identify the errors and rewrite the sentences correctly. One is doncionyou.(a) All my friends came at home in my birthday.All my friends came home on my birthday.(b) My cousin married to my friend's elder sister.(c) Anu said, My little brother resembles to my mother."(d) Of what size are your shoes?(e) My jacket is of the same colour as yours.( I am moving to Hyderabad in next week.English Gram I AM GIVING BRAINLIESTA pan has an original price of $32 but is marked down by 15 percent. Which equation shows the new price of the pan? Smh, what is this. If you answer this, please add a prove it statement. Thank you. please please help! will give brainliest and points!Which is an example of dependent events?choosing two socks from a drawer of black and white socks without replacementchoosing two numbered slips from a hat with replacementrolling a die three timesspinning a spinner two times What food did the southeastern Indians rely on? What is the value of x in the equation below? Negative 3 minus (negative 8) minus (negative 2) = x 1. What is a plague? During the early 1900s, many African Americans left the cities to farm. true or false If you crossed a male BB (brown eyes) with a female bb (blue eyes), how many of the offspring would have brown eyes? BB x bb Make a prediction or draw a Punnet square on a separate sheet of paper. *A. 0%B. 25%C. 50%D. 75%E. 100% alex plans to add a dramatic effect to his photographs with a triangular effect. Which type of portrait lighting will he use to create that effect accurately?loop lightingRembrandt lightingprofile lightingsplit lighting 1. Brendan raced through the door and breathed a sigh of relief as he sawhis math book sitting on the table. He had been looking all day at schoolfor it. Now he would start his homework. Which story element is beingdescribed? -2 x (-7) = 24 divided by (-3) = Doogan Corporation makes a product with the following standard costs: Standard Quantity or Hours Standard Price or Rate Direct materials 8.3 grams $ 2.90 per gram Direct labor 0.4 hours $ 29.00 per hour Variable overhead 0.4 hours $ 7.90 per hour The company produced 6,100 units in January using 40,210 grams of direct material and 2,470 direct labor-hours. During the month, the company purchased 45,300 grams of the direct material at $2.60 per gram. The actual direct labor rate was $28.30 per hour and the actual variable overhead rate was $7.70 per hour. The company applies variable overhead on the basis of direct labor-hours. The direct materials purchases variance is computed when the materials are purchased. The variable overhead rate variance for January is: Based on the events described in the quote, which president is MOST likely to have said this? Please select the word from the list that best fits the definition, People who hold religious ideas that oppose church teaching? The width of a rectangle is 2 less than twice its length. If the area of the rectangle is 182 cm 2 , what is the length of the diagonal? Th The radius of a circle is 7 feet what is the circles?Use 3.14 for pie?Please help due in 30 min!!!!!! 100 points A box contains cards that are numbered from 1 to 100. What is the probability of randomly selecting a number that is less than 12? 1 / 100 1 /12 11 / 100 12 / 100 Whats 67 + 90 + (40 x 6) What is true about the term absolute powerThe king gets his power from the divineAll of these answersThe king may determiine the religion of the peopleThe king may govern as he pleases