Answer: PR and CK form right angles.
Step-by-step explanation:
By definition, perpendicular lines form right angles, and vice versa (in other words, lines that form right angles are perpendicular). Since we need to show PR is perpendicular to CK, we must first show that PR and CK form right angles.
A shoe factory produces 1. 81 × 104 pairs of shoes each month. Estimate how many pairs of shoes the factory will produce if it maintains that rate for 10 years. (There are 1. 2 × 102 months in 10 years. ) 1. Estimate each coefficient: 1. 81 ≈ 2 1. 2 ≈ 1 2. Write the product: (2 × 104)(1 × 102) The shoe factory would make approximately ×106 pairs of shoes in 10 years.
Answer:
w
Step-by-step explanation:
The number of pairs of shoes in the factory is approximately 2 × 10⁶ in 10 years.
What is multiplication?It is also known as the product. If the object n is given to m times then we just simply multiply them.
A shoe factory produces 1.81 × 10⁴ pairs of shoes each month.
Estimate the number of pairs of shoes the factory will produce if it maintains that rate for 10 years.
There are 1.2 × 10² months in 10 years.
1.81 ≈ 2 and 1.2 ≈ 1
The number of shoes in 10 years will be
→ (2 × 10⁴)(1 × 10²)
→ 2 × 10⁶
The number of pairs of shoes in the factory is approximately 2 × 10⁶ in 10 years.
More about the multiplication link is given below.
https://brainly.com/question/19943359
I need help.ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
use a kittykat proportion
Step-by-step explanation:
The area of a rectangular garden is 3927cm . If the width of the garden is 51 m , what is its length?
Answer:
77
Step-by-step explanation:
The area of a rectangle is A = lw. 'A', the area, is 3927, and 'w', the width, is 51. By substituting the values in, we get that 3927 = 51L. Dividing both sides by 51, we get that L, the length, is 77.
PLEASE PLEASEEEE help me out with this!!! I’d appreciate it so so much.
Answer: (-√(3) /2, 1/2)
Step-by-step explanation:
The triangle created is a 30 60 90 triangle, and thus the opposite side of the angle equals the y-coordinate which equals 1/2, and the adjacent side of the angle equals the x-coordinate which equals -√(3) /2
A rectangle’s length is 8 feet shorter than four times its width. The rectangle’s perimeter is 134 feet. Find the rectangle’s length and width.
The rectangle’s length is ____ feet, and its width is _____ feet.
Answer:
length= 52 feet,
width= 15 feet
Step-by-step explanation:
[tex]\textcolor{steelblue}{\text{\textcircled{1} Define the variables}}[/tex]
Let the length and the width of the rectangle bs L and W feet respectively.
L= 4W -8 -----(1)
Perimeter of rectangle= 2(length +width)
2(L +W)= 134
Divide both sides by 2:
L +W= 67 -----(2)
[tex]\textcolor{steelblue}{\text{\textcircled{2} Solve for one variable}}[/tex]
Substitute (1) into (2):
4W -8 +W= 67
5W -8= 66
5W= 67 +8
5W= 75
W= 75 ÷5
W= 15
[tex]\textcolor{steelblue}{\text{\textcircled{3} Solve for the other variable}}[/tex]
Substitute W= 15 into (1):
L= 4(15) -8
L= 60 -8
L= 52
[tex]\textcolor{steelblue}{\text{\textcircled{4} Write concluding statement}}[/tex]
Thus, the rectangle's length is 52 feet, and its width is 15 feet.
What is the radius of a circle given by the equation x2 y2 – 2x 8y – 47= 0?
Answer:
the answer is 8 units
Step-by-step explanation:
The radius of a circle given by the equation [tex]\rm x^2+y^2-2x+8y-47=0[/tex] is 8 units.
It is given that the circle equation is given by [tex]\rm x^2+y^2-2x+8y-47=0[/tex]
It is required to find the radius of the circle.
What is a circle?It is defined as the combination of points that and every point has an equal distance from a fixed point ( called the center of a circle).
We circle the equation:
[tex]\rm x^2+y^2-2x+8y-47=0[/tex]
Converting this equation into the standard form of the circle:
[tex]\rm (x-a)^2+(y-b)^2=r^2[/tex]
[tex]\rm x^2+y^2-2x+8y-47=0[/tex]
[tex]\rm x^2+y^2-2x+8y-47+1-1+16-16=0[/tex] (by adding and subtracting by
1 and 16)
[tex]\rm x^2-2x+1+y^2+8y+16-1-16-47=0\\\\\rm (x-1)^2+(y-(-4))^2-64=0\\\\\rm (x-1)^2+(y-(-4))^2=64\\\\\rm (x-2)^2+(y-(-4))^2=8^2 \\\\[/tex]
By comparing with the standard circle equation, we get:
r = 8
Thus, the radius of a circle given by the equation [tex]\rm x^2+y^2-2x+8y-47=0[/tex] is 8 units
Learn more about circle here:
brainly.com/question/11833983
Find the side labeled x. State your answer rounded to 5 decimal places.
HELPPPPPP
You are putting a 10-foot ladder against your tree house. The tree house is 8 feet above the ground. How far from the tree should the ladder be set on the ground? Round your answer to the nearest tenth, if necessary.
Answer:
6 feet
Step-by-step explanation:
8×8+x×x=10×10
x×x=100-64
x=6
Write the equation of a line that is parallel to 2x -5y = 15 and goes through the point (1,4).
Answer:
(y-4) = 2(X+1)
Step-by-step explanation:
The given eqaution is; y = 2x-5.......(i)
Now; the equation is in the form of y= mx+b.
Slope(m1) = 2.
As per the condition of parallel lines, the slope of the 1st equation (m1) = the slope of the 2nd equation (m2).
Therefore, m1= m2= 2
Now, use one point formula for finding the equation of the line which passes through the point.
(y-y1) = m2(x-x1)
~ Put all values.
(y-4) = 2(X+1)
You can simply write up here. But if you want to make it simplified form then, (look below)
~ simplify it.
y = 2x +2+4
The eqaution of the line which is parallel to y = 2x -5 and point (-1,4) is y = 2x + 6.
Could you please calculate angle CDO and explaing how did you get it so that I can understand how to answer this question? :)
39°
Try harder to achieve success
14) $400 interest is earned on a principal of $2,000 at a simple interest rate of 5%
interest per year. For how many years was the principal invested?
ок
4 years
Step-by-step explanation:[tex]per\ year\ earn:2000\times 5\%=100[/tex]
[tex]years\ needed:\ \ \ \ \ 400\div 100=4[/tex]
I hope this helps you
:)
Answer:
4 years
Step-by-step explanation:
Given data
Simple interest= $400
Principal= $2000
Rate= 5%
The simple interest formula is given as
SI=PRT/100
substitute and solve for T
400=2000*5*T/100
cross multiply
400*100= 10000*T
40000=10000T
T= 40000/10000
T= 4 years
Hence the time taken is 4 years
X/6 + 5 = 25
Solve the variable in the equation
Answer: 120
Step-by-step explanation:
x/6 + 5 =25, subtract 5 on both sides
-5 -5
x/6 = 20, multiply both sides by 6
6(x/6) = 20(6)
x = 120
What is the solution to the equation below?
Answer:
C
Step-by-step explanation:
sqrt(2 - 3x)/sqrt(4x) = 2
sqrt(2 - 3x) = 2×sqrt(4x)
now let's just square both sides
2 - 3x = 4×4x = 16x
2 = 19x
x = 2/19
what is an easy method to workout 35% of 70
Step-by-step explanation:
[tex]70 \times \frac{35}{100} = 24 .5 [/tex]
Answer:
24.5
Step-by-step explanation:
35% can be broken down into 10% + 10% + 10% + 5%
To find 10% of 70, divide 70 by 10.
To divide a number by 10, move the decimal point 1 place to the left.
⇒ 70 ÷ 10 = 7
So 10% = 7
5% is half of 10%
⇒ 5% = 7 ÷ 2 = 3.5
Therefore,
10% + 10% + 10% + 5% = 7 + 7 + 7 + 3.5
= 21 + 3.5
= 24.5
The measure of an angle is seventeen times the measure of its supplementary angle. What is the measure of each angle?
Answer:
The measure of each angle will be 10° and 170°.
Step-by-step explanation:
A supplementary angle refers to an angle that has the sum to be equal to 180°.
Let the small angle be represented by x
Therefore, the big angle will be: = 17 × x = 17x
Therefore, the value of both angles will be:
x + 17x = 180
18x = 180
Divide both side by 18
18x/18 = 180/18
x = 10
Therefore, the bigger angle will be:
17x = 17 × 10 = 170
Therefore, the angles are 10° and 170°
Answer:
10 and 170 degrees.
Step-by-step explanation:
If the angle is x degrees then its supplementary angle = 180-x degrees.
So x + 17x = 180
18x = 180
x = 10 degrees.
i dont know how to do this question please help!
Answer: 1/6
Step-by-step explanation: I think you multiply 3 times 3 because the other circle circle has an option the first doesn't have have.
What expression represents the volume of the prism, in cubic units? one-halfx3 x2 one-halfx3 three-halves x2 x3 x2 x3 3x2
The expression which represents the volume of the prism, in cubic units, is one-half x³+ x².
What is of volume of prism?Volume of prism is the amount of quantity, which is obtained in it in the 3 dimensional space. The volume of a prism is the product of the area of its base and height.
[tex]V=A_b\times h[/tex]
Here, ([tex]A_b[/tex]) is the area of the base and (h) is the height of the prism.
The side of the base of the triangular prism is x units. Thus the area of the base is,
[tex]A_b=\dfrac{x\times x}{2}\\A_b=\dfrac{x^2}{2}[/tex]
The height of this prism is (x+2) units long. Thus, the volume of the prism is,
[tex]V=\dfrac{x^2}{2}\times (x+2)\\V=\dfrac{1}{2}x^3+x^2[/tex]
Thus, the expression which represents the volume of the prism, in cubic units, is one-half x³+ x².
Learn more about the volume of a prism here;
https://brainly.com/question/4016105
Answer:
1. A- 1/2x^3
2. 168
3. 927
4A. 48
4B. 336
5. A D
6. 1 3 3
7. 12 cm
8. 8 , 4
9. B
10. A C D
Step-by-step explanation:
whole thing right on edge
Eva is solving the equation 4(x+3/2)=8 She says, “I can subtract 3/2 from each side to get 4x=13/2 and then divide by 4 to get x=13/8."
Answer:
Wrong
Step-by-step explanation:
Eva must subtract 4*3/2=6 from each side to get 4x=2, the divide by 4 to get x=1/2
Another way:
First, divide both sides with 4 to get x+3/2=2. Then subtract 3/2 from each side and we will have x= 2-3/2= 1/2
Let dnbe the number of n-digit positive integers using only the digits 1, 2, 3, 4, 5, 6, or 7 (with repetition permitted), such that no two consecutive digits are even
The nth term of the sequence whose integers are between 1 -7 such that there is the permission of repetition but no two consecutive digits must be even is 1.254 × 10¹¹
What are consecutive numbers?
Consecutive numbers are those numbers that succeed each other in increasing order from least to greatest. The numbers that are given:
1, 2, 3, 4, 5, 6, or 7 are all consecutive.Now, suppose a (n) denotes the number of n-digit positive integers as stated in the question, thereby using:
1, 2, 3, 4, 5, 6, or 7 with the permission of repetition; no two consecutive digits are even.Then, the number of n can be computed as n!
= (7!) × (6!) × (5!) × (4!) × (3!) × (2!) × (1!)
= 1.254 × 10¹¹
Learn more about consecutive numbers here:
https://brainly.com/question/26352026
The nth term of the series of integers is between 1 -7 such that there is the permission of repetition but no two consecutive digits must be even is 1.254 × 10¹¹
What are consecutive numbers?Consecutive numbers are those numbers that succeed by each other in increasing order from lowest to greatest such are 1, 2, 3, 4, 5, 6, or 7.
Now, suppose n represents the number of n-digit positive integers.
1, 2, 3, 4, 5, 6, or 7 with the permission of repetition no two consecutive digits are even.
Then, the number of n can be calculated as n!
= (7!) × (6!) × (5!) × (4!) × (3!) × (2!) × (1!)
= 1.254 × 10¹¹
Learn more about consecutive numbers here:
brainly.com/question/26352026
#SPJ4
can you help me with this
Answer:
The answer is b. 979,000
Step-by-step explanation:
If you move the decimal right five time from 9.79 you would get 979,000
one of the two equal sides of an isosceles triangle is 5.4 CM. if the perimeter of the triangle is 15.4 cm, find the length of the remaining sides of the triangle.
Answer:
4.6cm
Step-by-step explanation:
5.4 is the length of one side and if you have 2 sides that are equal you double that
5.4 x 2 = 10.8
15.4 - 10.8 = 4.6cm
Please Help I'm Confused.
Craig won first prize in Mrs. Short's class
so he gets to pick a prize from the treasure
box. He doesn't know what he wants, so
he is going to chose randomly. There are
different gift card prizes: fast food, ice cream,
CD's, DVD's, movies, the mall and Carowinds.
If there is an equal number of each card in
the box, what is the probability he will pull out
the gift card for Carowinds?
Answer: 14%
Step-by-step explanation:
A tank having length, breadth and height 10 m, 9 m and 8 m respectively. How much petrol does it hold? Ans: 720000 liter
720000 liter
Step-by-step explanation:[tex]Known:\ a=10\ m,b=9\ m,h=8\ m.[/tex]
[tex]Because:\ V=abh\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ (Volume\ caculation\ formula)[/tex]
[tex]Thus:\ V=10\times9\times8=720\ m^3[/tex]
[tex]Because\ 1\ m^3=1000\ L\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ (unit\ conversion)[/tex]
[tex]Thus\ 720\ m^3=720000\ L[/tex]
I hope this helps you
:)
Please i need help !!!
Answer:
Jenna is correct.
Step-by-step explanation:
See attached image.
Please help! will give brainlest!
Answer:
[tex]\frac{ \sqrt{3} }{2} [/tex]
Step-by-step explanation:
[tex] \cos \bigg( \frac{11\pi}{6} \bigg) \\ \\ = \cos \bigg( 2\pi - \frac{\pi}{6} \bigg) \\ \\ = \cos \bigg(\frac{\pi}{6} \bigg) \\ \\ = \frac{ \sqrt{3} }{2} [/tex]
These two figures have the same perimeter. Solve for x and find the perimeter.
(Please say the actual number and not a link please!)
Answer:
x=4, perimeter is 30.
Step-by-step explanation:
Let's calcualte the perimeter of the two figures. I'm assuming the pentagon is regular else the problem lacks information.
[tex]5(x+2) = 3x+(2x-1)+(x+7)\\5x+10=6x+6\\4=x[/tex]
At this point the easiest to compute is the pentagon, one side is 6, the whole perimeter is 30.
How to find the area of an equilateral triangle inside a circle
Answer:
Step-by-step explanation:
Find the value of x.
log x 8 = 0.5
ОА.
4.
OB.
16
O C.
32
OD.
64
Answer:
The answer to your question is D 64
Step-by-step explanation:
hope this helps you have a wonderful day.
solve for x and round if necessary
[tex]\qquad\qquad\huge\underline{{\sf Answer}}☂[/tex]
Let's solve ~
[tex]\qquad \sf \dashrightarrow \: \sin(37 \degree) = \frac{0.6}{x} [/tex]
[tex]\qquad \sf \dashrightarrow \: \frac{3}{5} = \frac{0.6}{x} [/tex]
[tex]\qquad \sf \dashrightarrow \: 3x = 5 \times 0.6[/tex]
[tex]\qquad \sf \dashrightarrow \: x = 3 \div 3[/tex]
[tex]\qquad \sf \dashrightarrow \:x = 1[/tex]
Therefore, the required value of x is 1
Answer:
[tex]\displaystyle 1[/tex]
Step-by-step explanation:
[tex]\displaystyle \frac{x}{0,6} = csc\:37 \hookrightarrow 0,6csc\:37 = x \hookrightarrow 0,9969840846... = x \\ \\ 1 ≈ x[/tex]
OR
[tex]\displaystyle \frac{0,6}{x} = sin\:37 \hookrightarrow xsin\:37 = 0,6 \hookrightarrow \frac{0,6}{sin\:37} = x \hookrightarrow 0,9969840846... = x \\ \\ 1 ≈ x[/tex]
Information on trigonometric ratios
[tex]\displaystyle \frac{OPPOCITE}{HYPOTENUSE} = sin\:θ \\ \frac{ADJACENT}{HYPOTENUSE} = cos\:θ \\ \frac{OPPOCITE}{ADJACENT} = tan\:θ \\ \frac{HYPOTENUSE}{ADJACENT} = sec\:θ \\ \frac{HYPOTENUSE}{OPPOCITE} = csc\:θ \\ \frac{ADJACENT}{OPPOCITE} = cot\:θ[/tex]
I am joyous to assist you at any time.