For the given triangles select the lengths of the sides.

For The Given Triangles Select The Lengths Of The Sides.

Answers

Answer 1

Answer:

v=3

u=6

x=2√2

y=2√2

Step-by-step explanation:

First triangle :

tanΦ=v/3√3

tan30=v/3√3

(√3)/3=v/(3√3)

Cross multiply

(√3)/3 x 3√3=v

(√3 x 3√3)/3=v

(3√9)/3=v

(3x3)/3=v

9/3=v

3=v

v=3

Sin30=v/u

0.5=3/u

Cross multiply

0.5xu=3

0.5u=3

Divide both sides by 0.5

0.5u/0.5=3/0.5

u=6

Second triangle :

sin45=x/4

Cross multiply

x=4 x sin45

x=4 x (√2)/2

x=2√2

Cos45=y/4

Cross multiply

4 x Cos45=y

4 x (√2)/2=y

(4√2)/2=y

2√2=y

y=2√2


Related Questions

Whats the Doubled Recipe ?
4 ½ ripe tomatoes
⅝ red onion
⅖ garlic cloves
3 jalapenos
⅓ cupe fresh cilantro
3 tablespoons fresh lime juice
2 ½ teaspoons ground cumin
2 ¾ teaspoons
1 ½ teaspoons salt
15 ounces crushed tomatoes ( 1 can)
4.5 ounces diced green childes (1 can)

Answers

9 ripe tomatoes

1 1/4 red onion

4/5 garlic cloves

6 jalapeños

2/3 cup fresh cilantro

6 teaspoons ground cumin

5 1/2 teaspoons

3 teaspoons salt

30 ounces crushed tomato (2 cans)

9 ounces dices green chilies (2 cans)

Answer:

9 ripe tomatoes

1 1/4 red onion

4/5 garlic cloves

6 jalapeños

2/3 cup fresh cilantro

6 teaspoons ground cumin

5 1/2 teaspoons

3 teaspoons salt

30 ounces crushed tomato (2 cans)

9 ounces dices green chilies (2 cans)

Can someone help me ?

Answers

Answer:

Equation: -2x = -6

Solution: x = 3

Step-by-step explanation:

1. Take a look at the diagram. With two -x on one side and 6 of the -1 on the other, we can see the equation to be -x - x = -1 - 1 - 1 - 1 - 1 - 1

2. However, this is not a proper equation as it is not simplified: - 2x = -6

3. Now that we have the equation, apply simple algebra to recieve x, as such:

-2x = -6 ⇒ x = -6/-2 ⇒ x = 6/2 ⇒ x = 3

Answer:

equation:-2x=-6

solution: x=3

Step-by-step explanation:

-2x=-6

step one : divide -2 from both sides of the equal sign[tex]-2x/-2=-6/-2[/tex]

then boom you got x=3

On a​ team, 8 girls and 5 boys scored a total of 94 points. The difference between the number of points scored by the 8 girls and the number of points scored by the 5 boys is 34. Each girl scored the same number of points and each boy scored the same number of points. Find the number of points scored by each girl and each boy

Answers

Answer:

g = 8 points

b = 6 points

Step-by-step explanation:

If each girl scores g points, and each boy scores b points, then:

8g + 5b = 94

8g − 5b = 34

Add the equations together.

16g = 128

g = 8

Solve for b in either equation.

8(8) + 5b = 94

5b = 30

b = 6

Which observation supports the idea that light is made of particles

Answers

Answer:

light moves in a straight path

Step-by-step explanation:

Answer:

D on edge

Step-by-step explanation:

took the test bb

Which description matches finding the volume of the solid?

Answers

Answer:

Cylinder + Rectangular Prism

Step-by-step explanation:

On the sides we can see 2 half-cylinders. 2 half-cylinders make up 1 whole cylinder. In between the half-cylinders, a rectangular prism is squashed.

Think of this as a sandwich, the 2 buns are half cylinders, and the meat is the prism.

Therefore the answer is a cylinder and a rectangular prism.

Can u guys help me plz!!!

Answers

Answer:

1 is B

2 is B

3 is D

4 is C

Step-by-step explanation:

Dont care enough to explain all of them

In order to evaluate the performance of the artificial pancreas, a researcher randomly draw 5 rats as a control group, and draw other 5 rats as a treatment group. The control group did not receive the artificial pancreas, the treatment group did. The research wanted to compare the blood-sugar readings for the treatment group with those of the control group. The treatment group has a sample mean blood-sugar reading Y = 400 unit and a standard deviation Si = 80 unit. The control group has a sample mean blood-sugar reading Y, = 200 unit and a standard deviation S2 = 50 unit. Assume the population variances are not equal, calculate the standard error for the difference of the sample means Ý -Y (Round to three decimal places)

Answers

Answer: 42.190

Step-by-step explanation:

From the question, the population variances are not equal. The calculation has been attached in the picture below.

The answer is 42.190 to 3 decimal places.

Math Help!!! Can someone solve this?? I will give you Brainliest!!!!!!

Answers

Answer:first one is false, second is true and third is true

Step-by-step explanation:

Of the 250 students at Moreland middle school, 80% ride the bus to school. Monica wants to know the number of students that ride the bus.

Answers

Answer:

200; 80% of 250 is 200

Answer:

Step-by-step explanation:

200

if d=2 what is the value of

Answers

Answer:C

Step-by-step explanation:

8/(4-d) d=2

8/(4-2)

8/2=4

ASAP HELP PLEASE GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing!!

Answers

Answer:

B

Step-by-step explanation:

Hmm... I would think it is B...

b^2-4ac is discrimant. It is 0?

The number of cars sold at a dealership over several weeks is given below.

14, 23, 31, 29, 33

What is the standard deviation for this set of population data?

Standard deviation: Sigma = StartRoot StartFraction (x 1 minus mu) squared + (x 2 minus mu) squared + ellipsis + (x N minus mu) squared Over N EndFraction EndRoot
6.9
12.4
15.4
47.2

Answers

Answer:

A. 6.9

Step-by-step explanation:

Edge 2020

The standard deviation for the set of population data given in the question is 6.9

How to determine the meanData = 14, 23, 31, 29, 33Number of data (n) = 5Summation of data = 14 + 23 + 31 + 29 + 33 = 130Mean (μ) =?

Mean = summation of data / number

μ = 130 / 5

μ = 26

How to determine the standard deviationData = 14, 23, 31, 29, 33Mean (μ) = 26Number of data (n) = 5Standard deviation (σ) =?

σ = √[[(x₁ - μ)² + (x₂ - μ)² + (x₃ - μ)² + (x₄ - μ)² + (x₅ - μ)²] / n]

σ = √[[(14 - 26)² + (23 - 26)² + (31 - 26)² + (29 - 26)² + (33 - 26)²] / 5]

σ = √[236 / 5}

σ = 6.9

Learn more about statistics:

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3.5.49 X 0.67 *
Your answer
What is the answer

Answers

Answer:

2.37783 or 23.7783

Step-by-step explanation:

I need help if you answer it ill make you the brainliest!!!

2x+5= 17

what is the value of X?

Answers

The Answer is definitely x=6

Kevin goes to the grocery store and buys a box of cereal, a family size box of cereal, a candy bar, and a king sized candy bar. He notices that the family sized box of cereal is twice as big as the regular box of cereal and the king size candy bar is twice as big as the regular candy bar. Kevin believes that because the family sized box of cereal and king sized candy bar are twice the size that the volume is also twice the size. Is Kevin correct in his thinking?

Answers

Yes, he is thinking correctly.

a circle with circumference 18 had an arc with 120 central angle. what is the length of the arc

Answers

Answer:

A circle with circumference 18 had an arc with 120 central angle.

=> Radius of that circle: R = 18/(2 x pi) = 2.86

=> Length of that arc: L = R x 120 x pi/180 = 2.86 x (2/3) x pi = 5.99

Hope this helps!

:)

Answer:

6

Step-by-step explanation:

Angle: arc length

360 : 18

120 : X

X/120 = 18/360

X = 120 × 18/360

X = 6

What’s the correct answer for this?

Answers

Answer:

c

Step-by-step explanation:

Answer:

P=19.2 ft

Step-by-step explanation:

ACCORDING TO THE THEOREM,

BC=2(DE)

So BC =2(3.2)

BC=6.4 ft

Now

AB=2(EF)

AB=2(4)

AB=8 ft

Now

AC = 2(DF)

AC= 2(2.4)

AC=4.8 ft

Now we're gonna find the perimeter which is sum of all sides

Perimeter=4.8+8+6.4

P= 19.2 ft

A 14-foot ladder is leaning against the side of a house.The angle the ladder makes with the ground is 50 degrees. How far is the base of the ladder from the house to the nearest tenth of a foot

Answers

Answer:

9 ft

Step-by-step explanation:

You can use cosine to solve this, which is adjacent over hypotenuse. The ladder forms a triangle with the house, and the side you need to solve for is adjacent to the angle. You can set up the equation:

cos(50)=x/14

Then you multiply 14 by cos(50) and get almost 9 ft (rounding to the nearest tenth of a foot).

A class of 64 students was given 320 book how many will each students take home

Answers

Each student will take=320/64

=5

So the answer is 5.

Hope it will be helpful to you...

✧◝(⁰▿⁰)◜✧

TO DETERMINE THE AMOUNT OF WRAPPING PAPER NEEDED FOR A RECTANGULAR BOX, RYAN FINDS THE SURFACE AREA OF THE BOX. HOW MUCH WRAPPING PAPER IS NEEDED IF THE BOX MEASURES 11 cm by 2 cm by 4 cm?

Answers

Answer:

288

Step-by-step explanation:

A=2(11*4+11*7+4*7)

A=2(44+77+28)

A=2(149)

A=[tex]298 inches^{2}[/tex]

To wrap the provided package, Ryan would need 148 cm² of wrapping paper.

What is Surface area?

The area or region that an object’s surface occupies is known as its surface area. Volume, on the other hand, refers to how much room an object has. There are numerous shapes and dimensions in geometry, including spheres, cubes, cuboids, cones, cylinders, etc. Each form has its own volume and surface area.

Given, the measures of the box are 11 * 2 *4 cm.

We need to find out how much wrapping paper would be required. to achieve that we need to calculate the surface area of the box.

From the general formula of the surface area of a cuboid.

Surface area = 2*(length*width + width * height + width * height)

in our case,

length = 11

width = 2

and height = 4

Thus,

Surface area = 2 (11*2 + 2*4 + 11*4)

Surface area = 2(22 + 8 + 44)

Surface area = 148 cm²

Therefore, Ryan would need 148 cm² of wrapping paper to wrap the box given.

Learn more about the Surface area here:

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6. The mean of 5 consecutive integers is 19. What is the difference between the largest and
the smallest of the 5 integers?​

Answers

Answer:

4

Step-by-step explanation:

The integers are

x

x+1

x+2

x+3

x+4

since they are consecutive

The largest is x+4

The smallest is x

Difference is

x+4 -x

4

Answer:

Step-by-step explanation:

If the least integer is n, it means the five consecutive integers are:

n,n+1,n+2,n+3,n+4

Summing all integers we have:

n + n+1+n+2+n+3+n+4

=5n+10

The mean of this integers is

5n+10 /5 =19

5n+10=19*5

5n + 10 = 95

5n = 95 - 10

5n =85

n=85/5=17

The smallest of the integer is n= 17

The largest integer is n + 4 =17+4=23

The difference between the least and largest integer would be;

Is 4

The sum of largest integer and the smallest integer is 23 + 17 = 40

What is the area of this parallelogram?
6 cm
2 cm

Answers

Answer:

12

Step-by-step explanation:

Area= base*height

Area= 6*2

Answer:

12cm

Step-by-step explanation:

hight & Base=6 cm & 2 cm

Formula for area: hight×base=6 cm×2 cm

12cm

How large is the largest button in the jar ? , is this an statistical question ?

Answers

Need more info than that

Researchers wondered if there was a difference between males and females in regard to some common annoyances. They asked a random sample of males and​ females, the following​ question: "Are you annoyed by people who repeatedly check their mobile phones while having an​ in-person conversation?" Among the 530 males​ surveyed, 175 responded​ "Yes"; among the 575 females​ surveyed, 218 responded​ "Yes." Does the evidence suggest a higher proportion of females are annoyed by this​ behavior? Complete parts​ below.

(a) Determine the sample proportion for each sample.

The proportions of the females and males who took the survey who are annoyed by the behavior in question are ____and _____ respectively. (Round to four decimal places as needed.)

(b) Explan why this study can be analyzed using the methods for conducting a hypothesis test regarding two independent proportions. Select all that apply.

A. The sample size is more than 5% of the population size for each sample
B. The sample size is less than 5% of the population size for each sample
C. The samples are dependent.
D. The data come from a population that is nornally distributed.
E. np (1-) 10 and n2p2 (1-2) 210
F. The samples are independent.

(c) What are the null and alternative hypotheses? Let p1 represent the population proportion of females who are annoyed by the behavior in question and p2 represent the population proportion of males who are annoyed by the behavior in question.

Answers

Answer:

a)

The proportions of the females and males who took the survey who are annoyed by the behavior in question are 0.3301 and_0.3791 respectively

b)

D) The data come from a Population that is Normally distributed

F) the samples are independent

c)

Null hypothesis: H₀: [tex]p_{m} ^{-} - p^{-} _{fm} \leq 0[/tex]

Alternative Hypothesis H₁: [tex]p_{m} ^{-} - p^{-} _{fm} \geq 0[/tex]

Step-by-step explanation:

Given data Among the 530 males​ surveyed, 175 responded​ "Yes

The sample proportion of males

[tex]p_{m} ^{-} = \frac{x}{n} = \frac{175}{530} = 0.3301[/tex]

The sample proportion of 575 Females surveyed, 218 responded​ "Yes

[tex]p_{fem} ^{-} = \frac{x}{n} = \frac{218}{575} = 0.3791[/tex]

a)

The proportions of the females and males who took the survey who are annoyed by the behavior in question are 0.3301 and_0.3791 respectively

b)

The data come from a Population that is normally distributed.

The two samples are independent

c)

Null hypothesis: H₀: [tex]p_{m} ^{-} - p^{-} _{fm} \geq 0[/tex]

Alternative Hypothesis H₁: [tex]p_{m} ^{-} - p^{-} _{fm} \leq 0[/tex]

We will use two samples Z - hypothesis test

[tex]Z = \frac{p^{-} _{m} - p^{-} _{fem} }{se(p^{-} _{m}-p^{-} _{fem} ) }[/tex]

[tex]Se(p_{m} -p_{fem}) = \sqrt{\frac{p_{m}(1-p_{m}) }{n_{m} }+\frac{p_{fem} (1-p_{fem} )}{n_{fem} } }[/tex]

[tex]Se(p_{m} -p_{fem}) = \sqrt{\frac{0.3301(1-0.3301) }{530 }+\frac{0.3791(1-0.3791)}{575} }[/tex]

 [tex]Se(p_{m} ^{-} - p^{-} _{fem} ) = \sqrt{0.000826} = 0.0287[/tex]

The test statistic

[tex]Z = \frac{0.3301-0.3791}{0.02875}[/tex]

Z = -1.7043

|Z| = |-1.7043|

The tabulated value Z₀.₉₅ = 1.96

The calculated Z= 1.7043 < 1.96 at 0.05 level of significance

The null hypothesis is accepted

Conclusion:-

The evidence suggest not a higher proportion of females are annoyed by this​ behavior


Please help me with this math question. Thank You so much

Answers

Answer:

1/32

Step-by-step explanation:

1/4 divided by 8 equals 1/32 using calculator. No explanation really... Brainliest?

Answer:

1) 1/32

Step-by-step explanation:

1/4 = 0.25

0.25/8 = 0.03125

turn 0.03125 into a fraction and get = 1/32

Simplify the remaining expression completely x^6y^4/xy^2

Answers

Answer: x^5y^2

Step-by-step explanation:

Answer:

the answer is a on edge 2020

Step-by-step explanation:

I just took the test

1. Which number does NOT represent a whole number?
A 25
B 13
С
150
3
D 3.5

Answers

D doesn’t represent a whole #

Answer:

D 3.5

Step-by-step explanation:

A number with a decimal can NOT represent a whole number.

In one method of a procedure called acceptance sampling, a sample of items is randomly selected without replacement and the entire batch is accepted if every item in the sample is ok. Among 810 airport baggage scales, 102 are defective (based on data from the NY Department of Consumer Affairs). If four of the scales are randomly selected and tested, what is the probability that the entire bath will be accepted

Answers

Answer:

[tex]X \sim Hyp (N = 810, M=102, n=4)[/tex]

[tex] P(X=0) = \frac{(102C0)(810-102 C 4-0)}{810C4}[/tex]  

And solving we got:

[tex] P(X=0)= \frac{(102C0) (708C4)}{810C4} = 0.583[/tex]

So then for the problem given the probability that the entire bath will be accepted (none is defective among the 4) is 0.583

Step-by-step explanation:

For this case we can model the variable of interest with the hypergeometric distribution. And with the info given we can do this:

[tex]X \sim Hyp (N = 810, M=102, n=4)[/tex]

[tex]P(X=k)= \frac{(MCk)(N-M C n-k)}{NCn}[/tex]  

Where N is the population size, M is the number of success states in the population, n is the number of draws, k is the number of observed successes  

And for this case we want to find the probability that none of the scales selected would be defective so we want to find this:

[tex] P(X=0)[/tex]

And using the probability mass function we got:

[tex] P(X=0) = \frac{(102C0)(810-102 C 4-0)}{810C4}[/tex]  

And solving we got:

[tex] P(X=0)= \frac{(102C0) (708C4)}{810C4} = 0.583[/tex]

So then for the problem given the probability that the entire bath will be accepted (none is defective among the 4) is 0.583

Helpppppp!.!.!.!.!.!.!.!.!.!!.

Answers

Answer:

~ 84 cm of the pop in the poster ~

Step-by-step explanation:

Let us plan out our steps, and solve for each:

1. Given the information, let us create a proportionality as such:

      7          =              1      ⇒   x - centimeters of the pop in the poster

      x                         12

2. Now let us cross multiply, and solve through simple algebra for x:

7 * 12 = x,

x = 84 centimeters of the pop in the poster

On Tuesday, Katy ran a mile in 8.34 minutes. She ran another mile in 7.89 minutes on Wednesday. What was the total time for both miles? Do not include units.

Answers

Answer:

16.23

Step-by-step explanation:

Add the times

Answer:

16.23 minutes

Step-by-step explanation:

Total time = sum of the two times

= 8.34 + 7.89

= 16.23 minutes

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