The area of a rhombus is 65 square units. The length of one diagonal is 13 units. What is the length of the other diagonal? 5 units 6 units 10 units 12 units

Answers

Answer 1

Answer:

The length of the other diagonal is 10 units

Step-by-step explanation:

we know that

The area of a Rhombus is equal to

[tex]A=\frac{1}{2}[D1D2][/tex]

where

D1 and D2 are the diagonals of the rhombus

we have

[tex]A=65\ units^{2}[/tex]

[tex]D1=13\ units[/tex]

substitute in the formula and solve for D2

[tex]65=\frac{1}{2}[(13)D2][/tex]

[tex]130=[(13)D2][/tex]

[tex]D2=130/13=10\ units[/tex]

Answer 2

Answer:

10

Step-by-step explanation:


Related Questions

Plz help me with this

Answers

Only the last two options are true.

The first one is false, because 4.5 is the value of the maximum of f(x), not the point where it is reached.

The second one is false, because g(x) has a maximum of 9, so it is a downward-facing parabola (just like f(x)), so it doesn't have a minimum.

The third one is true, because the maximum value of f(x) is 4.5, and the maximum value of g(x) is 9, which is twice the maximum of f(x)

The last one is false (see point 2).

Answer:

The third and last one.

Step-by-step explanation:

First, by looking at the graph you can tell that the parabola peaks where x = 0.5, not 4.5, so this one is incorrect.

The second one is incorrect, because the value of the g(x) at 0 is 9, but he function is less at other values such as when x is -3 and the g(x) is 0.

The maximum value of the g(x) is 9. We can tell this because points with an equal difference of x values away from x = 0 (where g(x) = 9), also have the same y values. Because 9 is twice of 4.5, and 4.5 is the maximum value of the f(x), the third one is correct.

Lastly, The last one is true, because quadratic functions only have a minimum or a maximum value and we already know that both of these functions have a maximum value.

Look at the picture above. Tell me the steps that I need to use to get the answer.​

Answers

Answer:

¹¹⁹/₁₂₀ gallon

Step-by-step explanation:

1. Total amount of paint owned: 1 ¹/₅ + 1 ¹/₆ + ⁷/₈ =  ³⁸⁹/₁₂₀ gallons

2. Total amount of paint used: 3 * ³/₄ = ⁹/₄ gallons

3. Amount left: ³⁸⁹/₁₂₀ - ⁹/₄ = ¹¹⁹/₁₂₀ gallon

Please hurry!!
The children's section is rectangular and has three of its corners at (-10, 10), (-10, 4), and (-3, 10). What are the coordinates of the remaining corner?

Answers

(-3,4)

If its rectangular then parallel lines must be the same size , just draw it and it will make a lot of sense

Answer is (-3,4)

See photo

Melisa is throwing a birthday party for her son. She ordered 4 pizzas, she realizes that her son invited more people than she thought, so she decides to order 1 more pizza for every 3 people that come to the party. The total number of pizzas, y , can be expressed in terms of the number of people that show up to the party, x . which inequality represents this situation?
y = -one third x + 4
y = one third x + 4
y = 3x - 4
y = 3x + 4

Answers

Answer:

y = 3x + 4

Step-by-step explanation:

3x would be the number of people that show up to the party times the number of pizza's needed plus the 4 she already ordered

Suppose that we wish to assess whether more than 60 percent of all U.S. households in a particular income class bought life insurance last year. That is, we wish to assess whether p, the proportion of all U.S. households in the income class that bought life insurance last year, exceeds .60. Assume that an insurance survey is based on 1,000 randomly selected U.S. households in the income class and that 640 of these households bought life insurance last year

Answers

Answer:

dont know

Step-by-step explanation:

Answer:

Step-by-step explanation:

Set up hypotheses as:

[tex]H-0: p=0.60\\H_a: p >0.60[/tex]

(Right tailed test)

Sample proportion p = favourable/total = [tex]\frac{640}{1000} =0.64[/tex]

p difference [tex]=0.64-0.60 =0.04[/tex]

Sample std error = [tex]\sqrt{\frac{pq}{n} } =\sqrt{\frac{0.64(0.36)}{1000} } \\=0.0152[/tex]

Critical value for95% = 1.96

Margin of error = [tex]1.96(0.0152)\\= 0.0298[/tex]

Confidence interval for proportions

=[tex](0.64-0.0298, 0.64+0.0298)\\=(0.6102,0.6698)[/tex]

Since confidence interval does not contain 0.60 we reject null hypothesis.

At 5% significance level we can accept thta proportion >0.60

Please Help Asap, Thank You!


Given :△ABC (to the right), AB = 15, BD = 9,
AD ⊥BC m∠C = 30°. Find the perimeter of triangle.



Answers

Answer:

48 + 12√3 units

Step-by-step explanation:

ALL LENGTHS MUST BE POSITIVE (I did this to avoid writing ± and showing that only + works)

1. Find AD (you'll find why later): 15² = 9² + AD² --> AD² = 144 --> AD =  12

2. 30-60-90: 12-DC-AC --> AC = 24, DC = 12√3 (side opposite of 90 is double side opposite of 30, side opposite of 60 is √3 times the opposite of 30)

P = AB + BD + DC + AC = 15 + 9 + 12√3 + 24 = 48 + 12√3 units

Final answer:

The perimeter of triangle △ABC is found by summing all sides of the triangle, resulting in 51.

Explanation:

In this question, we are dealing with the triangle △ABC. We know that AB = 15, BD = 9, AD is perpendicular to BC, and m∠C = 30°. Remember, the sum of all sides in a triangle constitutes the perimeter.

Given that AB=15 and BD=9, and as BD is the opposite side of m∠C = 30°, we know that the hypotenuse is twice the length of the opposite side in a 30-60-90 triangle. Thus, AD = 2BD = 18. Since AD is also perpendicular to BC, AD divides the triangle into two right triangles.

We know that the side adjacent to ∠C is half the length of the hypotenuse in a 30°-60°-90° triangle. Hence, CD = AD/2 = 18/2 = 9. Now, BC = BD + CD = 9 + 9 = 18. Summing up all sides of the triangle, the perimeter of △ABC = AB + BC + AC = 15 + 18 + 18 = 51.

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Find the values for c and d that would make the following equation true. (cy^2)(4y^d)=-20y^3

Answers

Answer:

c = -5 and d = 1

Step-by-step explanation:

First, multiply out (cy^2)(4y^d).  We get:  4cy^(2+d).

We equate this result to the right side of the equation:  - 20y^3.

Then, equating the exponents and solving for d, we get:  2 + d = 3, or d = 1.

Equating the coefficients, we get 4c = -20, or c = -5.

Darian is multiplying 34
3
4
by 12
1
2
.

Answers

Answer:

408

Step-by-step explanation:

because is you use long multiplication you will get 12*34=408.

Which expression represents the area of the rectangle
(2x+7)(4x+5)?

Answers

So we'll do FOIL (first, outer, inner, last)

The equation is (4x+5)(2x+7)

First, 4x·2x=8x²

Outer, 4x·7=28x

Inner, 5·2x=10x

Last, 5·7=35

Add like terms and you get:

8x²+38x+35

Final answer:

The area of the rectangle represented by the expression (2x+7)(4x+5) is calculated by distributing and combining like terms, yielding the answer 8x^2 + 38x + 35.

Explanation:

The expression (2x+7)(4x+5) represents the area of rectangle in Algebra. The area of a rectangle is calculated as length times width, and in this case, the length is 2x+7 and the width is 4x+5.

To calculate the area, we will need to multiply these two expressions, also known as using the distribution property of multiplication over addition.

Apply the distributive property:

2x * 4x = 8x^22x * 5 = 10x7 * 4x = 28x7 * 5 = 35

Combine like terms:

8x^2 + 10x + 28x + 35 = 8x^2 + 38x + 35.

So, the area of the rectangle is represented by the expression 8x^2 + 38x + 35.

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Jeffrey surveys the 13 girls and 13 boys in his class to find out how many pairs of shoes they have in their closets. Which statement is true

Answers

Answer:

the answer is c

Step-by-step explanation:

The median number of shoes for the girls is greater than the median number of shoes for the boys. To find the medians, order the data sets and find the middle value.

The statement which is true about Jeffery's survey of the 13 girls and 13 boys is;

Mean and Median as a measure of Central Tendency

Although, the mean and median are statistical measures of central tendency.

It follows from the data obtained from the survey that:

The mean and median for the girls are greater than the mean and median of the boys respectively.Additionally, the value of Q1 and Q3 for the girls is greater than that of the boys respectively.

On this note, it follows from the Inferences above that, the statement which is true about the survey is; The value of Q1 for the girls is greater than the value of Q1 for the boys.

Remarks:

A)The value of Q1 for the girls is greater than the value of Q1 for the boys.

B) The value of Q3 for the boys is greater than the value of Q3 for the girls.

C)The mean number of shoes for the boys is greater than the mean number of shoes for the girls.

D)The median number of shoes for the boys is greater than the median number of shoes for the girls.

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Tickets numbered 1 to 20 are mixed up and drawn at random. What is the probability that the ticket drawn has a number which is a multiple of three or five.

8/15

2/5

9/20

1/2

Answers

Answer:

B. 2/5

Step-by-step explanation:

First we write down the numbers.

1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20.

Multiplies of three or five above are: 6,9,10,12,15,16,19,20   (there are 8)

So 8/20.

8/20 simplified is 2/5

So, it's B.

ΔABC with vertices A(-3, 0), B(-2, 3), C(-1, 1) is rotated 180° clockwise about the origin. It is then reflected across the line y = -x. What are the coordinates of the vertices of the image?

Answers

Answer: The answer would be C. Please give me a thanks :) bye!

Step-by-step explanation:

Which graph matches the equation y = -(x-2)2

Answers

Final answer:

The equation y = -(x-2)² represents a parabola opening downwards with a vertex at (2, 0). To find the matching graph, plot several points by calculating y for chosen x values and then connect the points to reveal the parabola's shape.

Explanation:

The student is asking for the graph that matches the equation y = -(x-2)². This equation represents a parabola that opens downwards due to the negative sign in front of the parenthesis. To plot this, we'll need to create a table of values by choosing different x values, inserting them into the equation, and calculating the corresponding y values. After plotting these points, we'll see the shape of the parabola. Its vertex, the highest point on the graph due to the downward opening, will be at (2, 0) since the equation is in the form y = -a(x - h)², where (h, k) is the vertex of the parabola.

Steps for Plotting:Choose x values around the vertex (2, 0).Calculate y for each x.Plot the points on the coordinate plane.Connect the points to form a parabola.

A triangle has 2 congruent sides and 1 right angle.What is the triangle? List all that apply.

Answers

Answer:

When a triangle has two congruent sides it is called an isosceles triangle

Step-by-step explanation:

Help on number nine please?​

Answers

im pretty sure true because they do not intersect and are not parallel :)

Answer:

true

Step-by-step explanation:

The prism below is made of cubes which measure 1/3 of a centimeter on one side. What is the volume?


A. 20 cubic cm

B. 20/3 cubic cm

C. 20/27 cubic cm

D. 3 cubic cm

Answers

Answer:

the answer is C.  20/27 cubic cm.

Step-by-step explanation:

V = LWH

length 5(1/3 cm)

width 2(1/3 cm)

height 2(1/3 cm)

V = (5/3 cm) (2/3 cm) (2/3 cm)

V = 20/27 cubic cm.

Answer:

c

Step-by-step explanation:

whats 4 ways to make 23 cents using dimes,nickels, and pennies

Answers

23 pennies

4 nickels, 3 pennies

2 dimes, 3 pennies

1 dime, 2 nickles, 3 pennies

Pls does anyone know the answer??

Answers

Answer:

The on  the bottom is right.

Step-by-step explanation:

Answer:

A is the correct answer

Step-by-step explanation:

Reynaldo is a landlord who owns several rental homes one all wood home in the suburbs is worth 95,000 because the renters insure their own belongings what is the premium Reynaldo pays for property insurance per year?

Answers

Answer:B

95,000÷100 then multiply by $0.83 since it's a wood home in the suburbs.

Step-by-step explanation:

Answer:

788.5

Step-by-step explanation:

Simplify the expression. X^2-x/2x-2x^2

Answers

Answer:

[tex]\large\boxed{\dfrac{x^2-x}{2x-2x^2}=-\dfrac{1}{2}}[/tex]

Step-by-step explanation:

[tex]\dfrac{x^2-x}{2x-2x^2}=\dfrac{x^2-x}{-2(x^2-x)}\\\\\text{cancel}\ (x^2-x)\\\\=-\dfrac{1}{2}[/tex]

15 Points Please Answer Thx

Answers

Answer:

18

Step-by-step explanation:

There are 6 possible outcomes for the number and each one of those can land with all three different colors.

This means that the total amount of outcomes is 6*3 or 18.

To make six cakes Fred uses four and a half cups of sugar. How much sugar does he need for one cake?

Answers

Answer:

1.333 cups

Step-by-step explanation:

if you divide 6 by 4.5 you get 1.333

If y is 4.5 when x is 3, and y varies directly with x, find y when x is 9. 1.5 7.5 10.5 13.5

Answers

ANSWER

13.5

EXPLANATION

It was given that, y varies directly as x.

Therefore, the variation equation is of the form:

[tex]y = kx[/tex]

If y is 4.5 when x is 3, then we can substitute to find the constant of variation.

[tex]4.5 = 3k[/tex]

Divide both sides by 3;

[tex]k = \frac{4.5}{3} [/tex]

[tex]k = \frac{3}{2} [/tex]

Hence the equation becomes:

[tex]y = \frac{3}{2} x[/tex]

When x=9,

[tex]y = \frac{3}{2} \times 9 = 13.5[/tex]

72/10 is equal to which number

Answers

It is equal to 7.2

Hope this helps.

Answer:

7.2

Step-by-step explanation:

Imagine math 2021

72 subtract 3 equals 36​

Answers

That is not true. 72-3=69

Mr. Jones is getting a 6% raise. If he made $720 a week, how much more will he make with the raise?

Answers

$720 * .06 = 43.2

He will make $43.20 more each week.

In the drawer, there are 9 knives, 9 spoons, and 4 forks. What is the probability of randomly drawing a knife or spoon?

Answers

Answer:

Hello! Your answer is 36%

Step-by-step explanation:

9+9=18.

18/5 = 18÷5

18÷5 = 3.6 = 36%

HOPE THIS HELPS!

Answer:

Your answer is 36%

Step-by-step explanation:

9+9=18÷5=3.6=36%

nicole worked for 6 hours and 15 minutes. how should she write that on her time card
A. 7.0
B. 6.25
C. 6.15
D. 6.75​

Answers

Answer:

B since 6 is a whole number for hours it would be 6 and 15 is 1/4 of 60 it would be 0.25 meaning, 6.25

Step-by-step explanation:

The time card will have 6.25 hours.

What are the steps in converting measurement of time?

To convert units of measurement for time, here are the steps.

Step #1: Identify the units used.

Step #2: Determine the relationship between the units.

Step #3: Determine the conversion factor (in fraction form).

Step #4: Multiply the original measurement by the conversion factor.

Given:

6 hours and 15 minutes

= 6 + 15/60

=6 + 1/4

=6+0.25

=6.25 hours

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what is the area of the triangle shown below?​

Answers

Answer: 18

Step-by-step explanation:

Per a.p.e.x

Final answer:

The area of a triangle can be found using the formula: Area = (base × height) / 2.

Explanation:

The area of a triangle can be found using the formula: Area = (base × height) / 2. To find the area of the triangle shown below, you need to know the length of the base and the height. Once you have those values, you can plug them into the formula to calculate the area.

which of the statememts below are true for linear functions? Select all that apply.​

Answers

That's is correct answer

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