Answers
Answer:
$0.60
Step-by-step explanation:
Related Questions
The leaning Tower of Pisa was completed in 1372 and makes 86 degree angle with the ground. The tower is 50 meters tall, measured vertically from the ground to the highest point. If you were to climb to the top then accidentally drop your keys, where would you start looking for them?
How far from the base of the tower would they land?
I made having no luck in figuring this out.
Answers
Answer:
The distance where the keys would drop from the base is 3.5m
Step-by-step explanation:
Height of the tower = 50m
Angle it makes to the ground = 86°
To solve this question, you have to understand that the tower isn't vertically upright and the height of the tower is different from the distance from the top of the tower to the ground.
The tower makes an angle 86° to the ground and that makes it not vertically straight because a vertically straight building is at 90° to the ground.
See attached document for better illustration.
The distance from where the keys drop to the base of the tower can be calculated using SOHCAHTOA
We have to use cosθ = adjacent / hypothenus
θ = 86°
Adjacent = ? = x
Hypothenus = 50m
Cos θ = x / hyp
Cos 86 = x / 50
X = 50 × cos 86
X = 50 × 0.06976
X = 3.488 = 3.5m
The distance where the keys would drop from the base of the tower is approximately 3.5m
Find the focus and the directrix of the parabola with the equation y = –1∕2 (x – 8)2 – 6.
A) Focus = (–8,–61∕2), directrix is y = –51∕2
B) Focus = (–8,–51∕2), directrix is y = –61∕2
C) Focus = (8,–61∕2), directrix is y = –51∕2
D) Focus = (8,–51∕2), directrix is y = –61∕2
Answers
Answer:
c
Step-by-step explanation:
The focus of the parabola is (–8,–51∕2), directrix is y = –61∕2 option (C) is correct.
What is a parabola?It is defined as the graph of a quadratic function that has something bowl-shaped.
(x - h)² = 4a(y - k)
(h, k) is the vertex of the parabola:
a = √[(c-h)² + (d-k²]
(c, d) is the focus of the parabola:
We have an equation for the parabola:
The parabolic equation also in the form of quadratic equation.
Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
y = (-1∕2)(x – 8)² – 6
The vertex of the parabola is (h, k)
h = 8, k = -6
The focus of the parabola:
(c, d)
c = -6
d = -6 - 1/2 = -13/2 = -6 1/2
Directrix of the parabola:
y = -6 - (-1/2)
y = -6 + 1/2
y = -11/2 = -5 1/2
Thus, the focus of the parabola is (–8,–51∕2), directrix is y = –61∕2 option (C) is correct.
Learn more about the parabola here:
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A cereal box has the dimensions shown. A drawing of a rectangular prism shaped cereal box with length 9 inches, width 4 inches and height 12 inches. a. Find the surface area of the cereal box.
Answers
Answer:
surface area of the rectangular shaped cereal box = 384 ft²
Step-by-step explanation:
The cereal box is a rectangular prism . The rectangular prism has a length of 9 inches, height of 12 inches and width of 4 inches . The surface area can be computed below .
Surface area of the prism is the sum of the area of all the faces. Therefore,
surface area = 2wl + 2lh + 2hw
where
l = length
w = width
h = height
surface area = 2wl + 2lh + 2hw
l = 9 inches
w = 4 inches
h = 12 inches
surface area = 2(4 × 9) + 2(9 × 12) + 2(12 × 4)
surface area = 2(36) + 2(108) + 2(48)
surface area = 72 + 216 + 96
surface area of the rectangular shaped cereal box = 384 ft²
Answer:
The cereal box is a rectangular prism . The rectangular prism has a length of 9 inches, height of 12 inches and width of 4 inches . The surface area can be computed below .
Surface area of the prism is the sum of the area of all the faces. Therefore,
surface area = 2wl + 2lh + 2hw
where
l = length
w = width
h = height
surface area = 2wl + 2lh + 2hw
l = 9 inches
w = 4 inches
h = 12 inches
surface area = 2(4 × 9) + 2(9 × 12) + 2(12 × 4)
surface area = 2(36) + 2(108) + 2(48)
surface area = 72 + 216 + 96
surface area of the rectangular shaped cereal box = 384 ft
Step-by-step explanation:
The amount of money 'y' made at a laundromat after 'x' months can be represented by the linear function: y = 8.50x - 5. After 2 months, the laundromat made 20 dollars, but the linear function predicted they would make 12 dollars. What is the residual value for this data?
Answers
Answer:
[tex] \hat y = 8.5*2 -5 = 12[/tex]
And the residual is defined as:
[tex] e_ i = y_i -\hat y_i [/tex]
And replacing we got:
[tex] e_i = 20-12 = 8[/tex]
Step-by-step explanation:
For this case we know that the amount of money 'y' made at a laundromat after 'x' months can be represented by the linear function:
[tex] y = 8.50 x -5[/tex]
And fter two months we know that the laundromat made 20 dollars. And if we use the linear function we got:
[tex] \hat y = 8.5*2 -5 = 12[/tex]
And the residual is defined as:
[tex] e_ i = y_i -\hat y_i [/tex]
And replacing we got:
[tex] e_i = 20-12 = 8[/tex]
Michelle tried to solve an equation step by step. \begin{aligned} t-\dfrac35&=\dfrac45\\\\ t-\dfrac35+\dfrac35&=\dfrac45+\dfrac35&\green{\text{Step } 1}\\\\ t&=1&\blue{\text{Step } 2} \end{aligned} t− 5 3 t− 5 3 + 5 3 t = 5 4 = 5 4 + 5 3 =1 Step 1 Step 2 Find Michelle's mistake. Choose 1 answer: Choose 1 answer:
Answers
Answer:
Step 2
Step-by-step explanation:
Michelle's step in trying to solve the equation is given below:
[tex]\begin{aligned} t-\dfrac35&=\dfrac45\\\\ t-\dfrac35+\dfrac35&=\dfrac45+\dfrac35&\green{\text{Step } 1}\\\\ t&=1&\blue{\text{Step } 2} \end{aligned}[/tex]
Michelle made a mistake in Step 2.
The right hand side of Step 1: [tex]\dfrac45+\dfrac35\neq 1[/tex]
Rather, the correct sum is:
[tex]\dfrac45+\dfrac35=\dfrac75\\\\=1\dfrac25[/tex]
Answer:
Its 1/5
Step-by-step explanation:
Khan
How many x-intercepts does the graph of y = 4x2 + 5x + 2 have?
Answers
Answer:
Step-by-step explanation:
hello : y= 4x² + 5x + 2
the x-intercepts when y=0 means : 4x² + 5x + 2=0
a=4 b= 5 c=2
∆ = b²- 4ac ∆ = (5)²- 4(4)(2) =25-32 = -7
∆ < 0 no reals solutions no x-intercepts
Identify the outlier of the data set.
3,4,4,5,5,6,6,7,7,7,8,20
a
20
b
8
oooo
C
6.8
d
3
Answers
Answer:
a.20
Step-by-step explanation:
20 is standing out from the rest of the numbers
A math teacher randomly selects one student in a class to write a probability question on a chalkboard. The teacher then randomly selects a different student to answer the probability question. There are 18 boys in the class, and the ratio of boys to girls is 3:5. Find the probability that the teacher selects a girl first and a girl second. Write your answer as a decimal rounded to the nearest thousandth.
Answers
Answer:
The probability to the nearest thousandth is 0.386
Step-by-step explanation:
Firstly, we will need to know the number of girls and the total number of students in the class.
We have the ratio as 3:5 for boys and girls with the number of boys being 18
What we have is thus;
3:5 = 18:g
3/5 = 18/g
3g = 90
g = 90/3
g = 30 girls
Thus, we have 18 boys and 30 girls with a total of 48 students.
The probability that the teacher selects a girl to write the question on the board is 30/48 = 5/8
Now, we intend selecting another girl to answer the question. This is like a probability without replacement. So this means that the number of girls we have now is 29 and the number of students we are selecting from is 47 students
Thus, the probability of selecting a girl to answer the question becomes 29/47
The joint probability is thus; 29/47 * 5/8 = 145/376 = 0.3856
To the nearest thousandth, we have 0.386
PLZZZZZZZZZZ HELP MEEEEEEEE
Answers
Answer:
D
Step-by-step explanation:
[tex]2x^2+2x+12=3x^2-x+2\\2x+12=x^2-x+2\\x^2-3x-10=0\\(x-5)(x+2)=0\\x=5, -2[/tex]
The correct answer is choice D. Hope this helps!
Answer:
{-5, 2}
Step-by-step explanation:
[tex]2x^{2} + 2x + 12 = 3x^{2} -x + 2[/tex] move everything to the right side
[tex]-2x^{2} -2x-12=-2x^{2} -2x-12[/tex] add line 1 and 2 to get the below equation
[tex]0 = x^{2} -3x -10[/tex] find multiples of -10 that add to give you -3
to get -10 we have to have (+)(-)
{-5, 2}
Help Me
I don't quite understand this...
Answers
Answer:
(x-3)^2 = 4
Step-by-step explanation:
2 (x-3)^2 + 6 = 14
Subtract 6 from each side
2 (x-3)^2 = 8
Divide each side by 2
2/2 (x-3)^2 + 6 = 8/2
(x-3)^2 = 4
Someone help pleaseee
Answers
Answer:
38°
Step-by-step explanation:
All triangles have a sum of 180°
180 - (119 + 23) = missing angle
180 - (142) = missing angle
38 = missing angle
So, the missing angle has a measurement of 38°
How many times larger is the volume of a sphere if the radius is multiplied by 5?
Answers
Answer:
Brainliest please
The Volume is 125 times bigger.
Step-by-step explanation:
V = [tex]\frac{4}{3}*\pi *r^{3}\\[/tex] is the normal formula.
If you multiply the radius by 5 the it changes to
V = [tex]\frac{4}{3}*\pi *(5r)^{3}[/tex]
And when you simplify you get
V = [tex]\frac{4}{3} * \pi * 125r^3[/tex]
And the only difference between the inital equation and this one is *125 and so the volume is 125 bigger if the radius is multiplied by 5.
What type of sequence is 0,12,24,36,48 geometric or arithmetic?
Answers
Answer:
Arithmetic
Step-by-step explanation:
Since each number is 12 larger than the last, this is an arithmetic sequence. A geometric sequence is one in which each next number in the sequence is the previous one multiplied by a certain set coefficient, while in an arithmetic sequence it's a certain number added. Hope this helps!
Answer:
It is arithmetic because to get from one term to the next, you add 12, and in an arithmetic sequence, you add/subtract a common difference to get from one term to the next. Hope this helps!
How many solutions are there to the equation below? 12x+32=12x-7
Answers
Answer:
I think it's no solutions
Step-by-step explanation:
12x+32=12×-7
-12 -12
32=-7
no solutions
Put the X in one side abd numbers in the other side
12x + (-12x) = -7 + (-32)
So the 12x cancels each other
0 ≠ -39 ( it can't be ! )
So NO solutions
The chart shows rate of decay.
Which value is being measured in the columns labeled "Fraction remaining” and "Percentage remaining”?
years of decay
quantity of energy
number of stable atoms
amount of material that has not decayed
Answers
Years of decay...
It takes around 4 years for something to go through their half life (depending on the thing). This chart is showing the years go by (half lives that occur within the years) while the decaying is happening.
Answer: year of decay
Step-by-step explanation:
a. Two local supermarkets sell watermelons grown at McDowell's
farm. But Biggy Market sells their watermelons for $3.99 each,
regardless of size, whereas Harmless Trail Market sells their
watermelons for $0.19 per pound. For what weight will a
watermelon at Harmless Trail cost the same as any watermelon at
Biggy? If the largest watermelon grown at McDowell's farm
weighs 18 pounds, at which place should you buy your
watermelons?
Answers
Answer:
For the watermelon at Harmless to cost the same as any watermelon at Biggy, the watermelon needs to be 21 pounds.
You should buy your watermelon at Harmless.
Step-by-step explanation:
1. So in order to figure out the number of pounds, you need to divide 3.99 by 0.19 which should give u 21 pounds.
2. So in order to figure out where u should buy the watermelon from, u have to do 18 pounds times $0.19 which should give u $3.42 at Harmless while at Biggy it would cost $3.99
Find the length of the diagonal of an 8cmx 6cmx 10cm rectangular prism. Round to the nearest tenth. (HELP PLEASE!!)
Answers
Answer:
14.1 cm
Step-by-step explanation:
first find the base diagonal :
base di = Square root (8^2 + 6^2) = 10cm
so,
diagonal = Square root (10^2 + 10^2) = 14.1 cm (ANS)
Emma Punch with 3/4 gallons of pineapple juice 1 1/2 gallons of orange juice and 7/8 gallons of apple juice how much gallons of Ginger ale does she need to add to make the total of 4 gallons of punch
Answers
Answer:
7/8 gallons of Ginger aleStep-by-step explanation:
Total gallons of punch mixture = gallons of pineapple juice + orange juice + gallons of apple juice + gallons of Ginger ale
Given gallons of pineapple juice = 3/4 gallons
Orange juice = 1 1/2 gallons
Gallons of apple juice = 7/8
Total gallons of punch = 4 gallons
On substituting into the formula above:
4 = [tex]\frac{3}{4} +\frac{3}{2}+\frac{7}{8}+Gallons\ of\ ginger\ ale[/tex]
[tex]4=\frac{6+12+7}{8} + Gallons\ of\ ginger\ ale[/tex]]
gallons of ginger ale = [tex]4-\frac{25}{8}[/tex]
gallons ginger ale = [tex]\frac{7}{8}[/tex]
She needs 7/8 gallons of Ginger ale to make the total of 4 gallons of punch
Answer:
Emma would need 7/8 gallons of Ginger Ale to make the total of 4 gallons of punch.
Step-by-step explanation:
In the question, Emma used different quantities of juice to make a punch. To find the remainder, needed to make 4 gallons, we sum up the given quantities, and subtract it from the expected amount.
The summation of the given quantities of juice is as follows;
3/4 + 1 1/2 +7/8 = 25/8
We no subtract the quantity we already have from the expected amount, which is 4 gallons, thus;
4 - 25/8 = 7/8 gallons of Ginger Ale.
To confirm the answer, we sum up all the given quantities. Therefore;
3/4 + 1 1/2 + 7/8 + 7/8 = 4 gallons of punch.
?????????????????????????????????????????????????????????????
Answers
Answer:
u = 11
Step-by-step explanation:
6(u+5)=96
Divide both sides by 6
u+5=16
Subtract 5 from both sides
u=11
The variable, u, is equivalent to 11
Answer:
u=11
Step-by-step explanation:
If you multiply the parentheses by the outside number (6) it will bring you
6u+30=96 then take away 30 from each side to get
6u=66 last step is to divide by six
u=11
Subtract 6
24
18
12
?
DONE
Answers
Answer
6
we keep subtracting by 6
12-6 = 6
A = 6
Consider circle C with angle ACB measuring 3 pi/4 radians if minor arc AB measures 9 pi inches what is the length of the radius of circle C if necessary round your answer to the nearest inch
Answers
Answer:
r = 12 inches
Step-by-step explanation:
In this question, we are asked to calculate the length of the radius of the circle.
This is accessible from using the length of an arc.
Mathematically, the length of an arc can be calculated using the formula;
Theta/360 * 2 * pi * r
Where Theta is the angle subtended at the center and r is the radius of he circle.
According to the question, Theta is 3pi/4 radians or let’s just say 0.75pi . This to degrees will be 135 degrees ( pi = 180 degrees)
Thus we have;
9 pi = 135/360 * 2 * pi * r
divide through by pi
9 = 270r/360
360 * 9 = 270r
r = (360 * 9)/270
r = 12 inches
Answer:
b
Step-by-step explanation:
A swimming pool is in the shape of a right rectangular prism. The base of the pool has an area of 216 square feet. When the pool is completely filled, it holds 1,944 cubic feet of water. What is the depth of the water when the pool is completely full?
Answers
Answer:
Just divide
1944/216=9
9 feet deep
Hope this helps
Step-by-step explanation:
How many points of intersection are on the graph?
y=x2+3x-7
y - X=9
The linear-quadratic system has (select) points of intersection.
Answers
Answer:
2 and 1
Step-by-step explanation:
[tex]y = {x}^{2} + 3x - 7 \: will \: have \: two \: points \: of \: \\intersection \\ \\ y - x = 9 \: will \: have \:only \: one\: point \: of \:\\ intersection[/tex]
PLZ HELP ME MY ASSIGNMENT IS DUE IN THE NEXT FEW MINUTES AND I HAVEN’T‘ DONE ANYTHING YET PLZ HELP ME
Answers
Answer:
C y=3x
Step-by-step explanation:
1 x 3 = 3
2 x 3 = 6
3 x 3 =9
Answer:
C. Y=3x i believe
Step-by-step explanation:
hope this helps
simplify 5x+5(2x+2)+7
Answers
Answer:
12x+14
Step-by-step explanation:
5x+5(2x+2)+7
5x+7x+7+7
12x+7+7
12x+14
Solve the following inequality
2(x – 3) – 5x < 9
Answers
Answer:
Step-by-step explanation:
hello : here is an solution
what is 3.39 as a fraction
Answers
Answer:
339/100
Step-by-step explanation:
the answer is 339/100
Pengelola layanan air minum di desaku membuat tempat penampungan air di dataran tinggi agar air dapat menjangkau seluruh desa. Tempat penampungan tersebu berbentuk kubus dengan panjang rusuk 8 meter. Jika tempat penampungan itu penuh, berapa liter air yang tertampung?
Answers
Answer:
The shelter can contain 512 cubic meters of water.Step-by-step explanation:
This question can be translated to:
"The manager of the drinking water service in my town creates a water tank in the highlands so that the water can reach the entire town. The cube-shaped shelter is 8 meters long. If the shelter is full, how many liters of water can it contain?"
As you can observe, the volumetric form is a cube with 8 meters long each edge.
We know the volume of a cube is defined as
[tex]V=l^{3}[/tex]
Where [tex]l=8 \ m[/tex], replacing this value, we have
[tex]V=(8 \ m)^{3} \\V=512 \ m^{3}[/tex]
Therefore, the shelter can contain 512 cubic meters of water.
<>) Melinda
Melinda says that 500 divided by 50 is 10. Use the drop-down menus to explain
why Melinda's statement is true.
Click the arrows to choose an answer from each menu.
The value of a Choose... " in the hundreds place is Choose...
of a 5 in the Choose... place.
times the value
Answers
Answer:
The statement "500 divided by 50 is 10" is a true statement
Step-by-step explanation:
In mathematics, we have a term that we refer to as Place Value.
Place Value in mathematics can be defined as the value that a digit has based on its position or place in a number.
Examples of place value is:
Thousands represented by Th
Hundreds represented by H
Tens represented by T
Units represented by U
In the above question,
500 ÷ 50 gives us 10.
This is true because, 500 as a number, the Digit 5 has a place value of hundreds
50 as a number , the digit 5 has a place values of Tens.
10 as a number, the digit 1 has a place value of Tens.
In mathematics, the multiplication of 2 numbers in a place value of Tens always gives us a place value of hundreds.
For example, 10 × 50 = 500
Likewise, when we divide, a number with a place value of hundreds by a number with a place value of tens, we have a number with a place value of tens.
For example: 500 ÷ 50 = 10.
Therefore, the statement "500 divided by 50 is 10" is a true statement
A store employee counts 285 different lawn decorations. He wants to organize them and place the lawn decorations on 9 shelves. About how many lawn decorations will go on each shelf? A About 30 B About 40 C About 50 D About 90
Answers
Answer: C) About 30
Step-by-step explanation: 285/9= 31.6666666667 which rounded to the nearest ten is equal to 30
There should be about 30 decorations on each shelf.
What is division?The opposite of multiplication is division. Assuming that 3 gatherings of 4 make 12 in augmentation, 12 isolated into 3 equivalent gatherings give 4 in each gathering in division.
The primary objective of partitioning is to perceive the number of equivalent gatherings that are shaped or the number of are in each gathering while sharing decently.
Given total lawn decorations = 285
and to arrange in 9 shelves
each shelves will have
285/9 = 31.6667
the nearest ten is 30.
Hence each shelf have about 30 decorations.
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