In rhombus, WY= 18 cm and XV=8 cm.
Find the area of the rhombus.
Be sure to include the correct unit in your answer.
The area of the rhombus is [tex]72 \ cm^2[/tex]
Explanation:
It is given that in a rhombus VWXY, the length of the diagonals are [tex]\mathrm{WY}=18 \ {cm}[/tex] and [tex]X V=8 \ {cm}[/tex]
The area of the rhombus can be determined by multiplying the diagonals and dividing by 2.
The area of the rhombus can be determined using the formula,
[tex]A=\frac{p q}{2}[/tex]
where p and q are diagonals of the rhombus.
Substituting the values in the formula, we have,
[tex]A=\frac{18\times 8}{2}[/tex]
Multiplying the numerator, we get,
[tex]A=\frac{144}{2}[/tex]
Dividing by 2, we have,
[tex]A=72 \ cm^2[/tex]
Thus, the area of the rhombus is [tex]72 \ cm^2[/tex]
please help me i really need your help
Answer:
Step-by-step explanation:
B
If ABC ~ DEC, find the values of x and y. help me pleaseee!!!
Answer:
X = 8
Y = 35
Step-by-step explanation:
All you need to do to solve this problem is use the Pythagorean Theorem[tex](a^{2} +b^{2} =c^{2} )[/tex]
The leg of the triangle are A and B and C represents the hypotenuse. All you need to do is plug in the values into the equation and there u have it.
I have created an image for you to follow.
∠A and \angle B∠B are supplementary angles. If m\angle A=(3x+18)^{\circ}∠A=(3x+18)
∘
and m\angle B=(5x+2)^{\circ}∠B=(5x+2)
∘
, then find the measure of \angle A∠A.
[tex]\bf \stackrel{\textit{we know that they are supplementary}}{\stackrel{\measuredangle A}{(3x+18)}~~ + ~~\stackrel{\measuredangle B}{(5x+2)}}~~ = ~~180 \implies 8x+20=180\implies 8x=160 \\\\\\ x=\cfrac{160}{8}\implies \boxed{x = 20} ~\hfill \stackrel{\measuredangle A}{3(20)+18}\implies 78[/tex]
Final answer:
The measure of ∠A, when ∠A and ∠B are supplementary, is found to be 78° after setting up an equation, simplifying it, and solving for x.
Explanation:
If ∠A and ∠B are supplementary angles, the sum of their measures is 180°. We have m∠A=(3x+18)° and m∠B=(5x+2)°. Set up an equation to find the value of x:
3x + 18 + 5x + 2 = 180.
Simplify and solve the equation:
8x + 20 = 180
8x = 160
x = 20
Now, substitute x back into the expression for m∠A:
m∠A = 3(20) + 18
m∠A = 60 + 18
m∠A = 78°
So, the measure of ∠A is 78°.
What is the value of the third quartile of the data set represented by this box plot?
A. 19
B. 21
C. 26
D. 29
Answer:
answer is 29
Step-by-step explanation:
What is an equation of the line that passes through the point (7, -7) and is perpendidular to the line x - 2y = 2?
Answer:
y= -2x +7
Step-by-step explanation:
Please see attached picture for full solution.
A printer is printing photos, for every 6 photos, the printer takes 2 minutes
A computer randomly selects a number from the given set 1, 2, 5, 10, 25, 30, 36 what is the probability that an even number is selected enter your answer as a fraction in simplest form in the box
Answer:
4/7
Step-by-step explanation:
Because you have 7 numbers in the set, the denominator is seven. Because only four of the numbers are even, the nominator is 3.
Answer:
4/7
Step-by-step explanation:
Because you have 7 numbers in the set, the denominator is seven. Because only four of the numbers are even, the nominator is 3.
Which of the following values are not in the range of the function f(x)=x^2?
Step-by-step explanation:
Provide the values...........
Sara and Gordon win some money and share it in the ratio 2:1. Sara gets £20. How much did they win in total
Answer:
They won £30 in total
Step-by-step explanation:
∵ Sara and Gordon win some money
∵ They share it in the ratio 2 : 1
∵ Sara gets £20
- To solve the problem lets use the ratio method
→ Sara : Gordon
→ 2 : 1
→ 20 : x
By using cross multiplication
∵ 2 × x = 1 × 20
∴ 2 x = 20
- Divide both sides by 2
∴ x = 10
∵ x represents the share of Gordon
∴ Gordon gets £10
- Add their shares to find the total
∴ The total = 20 + 10 = 30
∴ They won £30 in total
A valume of a graduated cylinder is 490 cubic cm.
The radius of the base is 7 cm. What is the height??
Please help me
Answer:
The height is 3.183 cm.
Step-by-step explanation:
The volume [tex]V[/tex]of a cylinder with base radius [tex]r[/tex] and height [tex]h[/tex] is given by
[tex]V = \pi r^2h[/tex]
Now, if the volume and the radius is given, we can use this equation to work out the height of the cylinder:
[tex]h= \dfrac{V}{\pi r^2 }.[/tex]
For our graduated cylinder,
[tex]V = 490cm^3[/tex]
[tex]r = 7cm[/tex];
therefore,
[tex]h = \dfrac{490cm^3}{\pi (7cm)^2 }[/tex]
[tex]\boxed{h = 3.183\:cm}[/tex]
Thus, the height of the graduated cylinder is 3.183 cm.
helppp pleaseeeeeeeeee
Answer:
im pretty sure its 14
Step-by-step explanation:
A 20 packet box of detergent sells for $5.49. What is the unit rate?
Answer:
if rounded to 5.50 it would be: .27¢ for 1 packet
Step-by-step explanation:
5.4 divided by 20 is .27 and 5.5 divided by 20 is .275 but .28 multiplied by 20 is over 5.50 which means it would be .27 cents for 1 packet :)
write a real word problem that can be represented by the equation ( 12 + 14 ) x h / 2 = 52. Then solve the problem.
The area of a trapezoid is given by:
[tex]A=\frac{(B_{1}+B_{2})h}{2} \\ \\ \\ A;Area \\ \\ B_{1}:First \ base \\ \\ B_{2}=Second \ base \\ \\ h:Heigth[/tex]
So given the equation:
[tex]\frac{( 12 + 14 )h}{2} = 52[/tex]
We can write a real problem as:
The bases of a trapezoid are [tex]12cm \ and \ 14cm[/tex] and the area of it is [tex]52cm^2[/tex]. What is the height of the trapezoid?
Solving:
[tex]\frac{( 12 + 14 )h}{2} = 52 \\ \\ 26h=104 \\ \\ h=\frac{104}{26} \\ \\ h=4cm[/tex]
Finally, the height of the trapezoid is 4cm
Help memory withmthiss
ANSWER THEM ALL CORRECTLY PLEASE! 20 POINTS!
Kellie and her sister Ashley are training for a race. Kellie ran 8 miles in 72 minutes. Ashley ran 12 miles in 102 minutes.
(a) What is Kellie’s minute-per-mile pace?
(b) How far did Ashley run in 34 minutes?
(c) What was the difference in Kellie and Ashley’s times after they ran 4 miles?
A. Kellie's minute-per-mile pace 9 minutes per mile.
To find this, divide her time (72 minutes) by the number of miles she went (8). 72 divided by 8 is 9 minutes per mile.
B. Ashley ran 4 miles in 34 minutes. First, divide Ashley's time (102 minutes) by the number of miles she went (12). 102 divided by 12 is 8.5 minutes per mile. Then divide 34 by 8.5 to get how far she went in that time. Thus meaning 4 miles.
C. The difference in time between their 4 miles is 2 minutes. Kellie took 36 minutes to go 4 mile (4 miles times 9 minutes is 36 minutes) and Ashley took 34 minutes to go 4 miles (as stated in part B.) Lastly, subtract 34 from 36 to get the 2 minute difference.
I hope this helps!
If 1 more than 5 times a number is 26, what is the number
To solve this problem, let's translate the given information into a mathematical equation and then solve for the unknown number.
The problem states that "1 more than 5 times a number is 26." We can represent the unknown number by a variable, let's use "x." The phrase "5 times a number" can be translated to "5x." Hence, "1 more than 5 times a number" becomes "5x + 1."
Now, according to the problem, this expression equals 26. This gives us the following equation:
5x + 1 = 26
To find the value of x, we need to solve this equation for x. Here are the steps to do it:
1. First, we need to isolate the term with x on one side of the equation. We can do this by subtracting 1 from both sides of the equation to get rid of the "+1".
5x + 1 - 1 = 26 - 1
This simplifies to:
5x = 25
2. Next, we need to solve for x by getting rid of the coefficient 5. We do this by dividing both sides of the equation by 5:
5x / 5 = 25 / 5
This simplifies further to:
x = 5
So the number we were looking for is 5.
To summarize, if 1 more than 5 times a number is 26, then the number is 5.
Solve for y
- 10 + y = 6
Write the standard form of the equation of an exponential function Y equals 10^xthat has been reflected over the X axis shifted write three and down five
Answer:
[tex]y = - {10}^{x - 3} - 5[/tex]
Step-by-step explanation:
The parent exponential function given to us is
[tex]y = f(x)= {10}^{x} [/tex]
If this function is reflected over the x-axis, shifted right 3 units and down 5 units, then it becomes:
[tex]y = g(x) = - f(x - 3) - 5[/tex]
This implies that:
[tex]y = g(x) = - {10}^{x - 3} - 5[/tex]
where the negative multplier indicates reflection over x-axis, x-3, indicates shift to the right 3 units, and -5 indicates downward shift 5 units
A wise man once said “400 reduced by 3 times my age is 244.” How old is the wise man?
Answer:
52 years old
Step-by-step explanation:
let this mans age be a
400-3a=244
400=244+3a
400-244=3a
156=3a
a=52
Answer:
52 years old
Step-by-step explanation:
Let x= man's age
400-3x=244
-3x=-156
x=52
The man is 52 years old.
URGENT 10 POINTS
Mrs. Jones recorded the time, in minutes, she spends reading each day for two weeks. The results are shown. What is the IQR for each week?
Week 1 Week 2
81 50 63 58 39 72 104 62 54 110 72 68 34 79
A.
The IQR for Week 1 is 65, and the IQR for Week 2 is 76.
B.
The IQR for Week 1 is 63, and the IQR for Week 2 is 68.
C.
The IQR for Week 1 is 50, and the IQR for Week 2 is 54.
D.
The IQR for Week 1 is 31, and the IQR for Week 2 is 25.
Answer:D.
The IQR for Week 1 is 31, and the IQR for Week 2 is 25.
Step-by-step explanation:
Answer:
D.
The IQR for Week 1 is 31, and the IQR for Week 2 is 25.
how to multiply a fraction
Answer:
Change the denominators to be the same by check if they are factors and then multiply top then bottom
Step-by-step explanation:
Step-by-step explanation:
how to multiply a fractionFOR EXAMPLE
[tex] \frac{3}{2} \times \frac{9}{5 } = \frac{27}{10} = 2.7 \\ [/tex]
PLEASE HELP ASAP!! will give brainlist :)
The sequence is geometric because it decreases by a factor of 1/27.
What happens in am arithmetic and geometric sequeceIn an arithmetic sequence, the terms change by a constant difference, while in a geometric sequence, the terms change by a constant ratio. In this case, the terms of the sequence are decreasing, and the ratio between consecutive terms is 1/27, which is a constant factor.
For example, if the sequence were arithmetic, you would see a consistent subtraction of a fixed number from one term to the next.
Therefore, the sequence is geometric because it follows the pattern of a geometric progression.
Read more on geometric sequece https://brainly.com/question/24643676
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Mary mixes white paint and blue paint in the ratio 2:3
She makes a total of 20 litres of paint.
How much more blue paint does she need to add to the mixture so that the ratio of white paint to blue paint becomes 1:7?
Answer:
44L
Step-by-step explanation:
Mary has 20 liters of paint that have white:blue ratio of 2:3. She wants to make a new mix by adding more blue paint until the ratio becomes 1:7. That means the volume of white paint of the old mid and new mix should be the same.
The volume for the second mix will be:
old mix white paint = new mix white paint
2/(3+2) * 20L = 1/(1+7) * V2
2/5 * 20L= 1/8 V2
8L= 1/8 V2
V2= 8L * 8
V2= 64L
If the new mix volume is 64L and old mix volume is 20L, then the blue paint needed to be added will be: 64L- 20L= 44L
Create a word problem that could be used to describe 8x=48
Answer:
Alex goes to the shop and buys 4 times a number bananas (X). When he counts how many bananas he has he counts 48. How much is the number x?
(−0.9−2.5−(−8.2))·(−0.625)
Answer:
What is the question?
Step-by-step explanation:
There's no definitive question being asked.
Answer:
-3
Step-by-step explanation:
...
you brought the meat Saturday's cookout. A package of hot dogs cost $1.60 and a package of hamburger cost $5. you bought a total 8 packages of meat and you spent $23. how many packages of hamburger meat did you buy?
Answer: 4 packages of hamburger meat.
nate is curious to learn how much elephants eat compared to the largest animal on Earth, the blue whale. He does some research and finda that a full-grown whatle eats about 1460000 pounds of krill per year Write and solve an equation
Answer:1460000 + X
Step-by-step explanation:
Answer:
y = 1.46 * 10⁶ x
Step-by-step explanation:
We can write the following equation:
Let x to represent the number of blue whales and,
let y to represent the total krill eaten by x blue whales per year
1'460,000 = 1.46 * 10⁶
y = 1.46 * 10⁶ x
I NEED HELP ASAP MARK THEM WITH DOTS!!!
Given data:
[tex]$1 \frac{4}{9} \text { and } 2 \frac{1}{3}[/tex]
Plot the points [tex]1 \frac{4}{9} \text { and } 2 \frac{1}{3}[/tex] on the number line.
Let us plot the first point [tex]1\frac{4}{9}[/tex].
1 unit is completed. So count after 1 (indicated) in the number line.
point after 1 is [tex]1\frac{1}{9}[/tex]
point after [tex]1\frac{1}{9}[/tex] is [tex]1\frac{2}{9}[/tex]
point after [tex]1\frac{2}{9}[/tex] is [tex]1\frac{3}{9}[/tex]
point after [tex]1\frac{3}{9}[/tex] is [tex]1\frac{4}{9}[/tex].
So, move 4 points after 1 in the number line is [tex]1\frac{4}{9}[/tex].
Now plot the point [tex]2\frac{1}{3}[/tex].
To make the denominator 9, multiply and divide numerator and denominator by 3.
[tex]$2 \frac{1}{3}=2 \frac{3}{9}[/tex]
2 unit is completed. So count after 2 (indicated) in the number line.
point after 2 is [tex]2\frac{1}{9}[/tex]
point after [tex]2\frac{1}{9}[/tex] is [tex]2\frac{2}{9}[/tex]
point after [tex]2\frac{2}{9}[/tex] is [tex]2\frac{3}{9}=2\frac{1}{3}[/tex]
So, move 3 points after 2 in the number line is [tex]2\frac{1}{9}[/tex].
The number line is attached below.
how much wrappping paper do you need to cover a box that is 18 inches by 15 inches by 3 inches
Answer:
Step-by-step explanation:
So to do this, you would find the surface area of a box. Since it is a rectangular prism, two sides will always have the same area and so there are 3 different areas. 18*15*2 = 540 and 18*3*2 = 108 and 3*15*2 = 90 and 90 + 108 + 540 = 738 inches