Mathematics College

What is the area of the trapezoid? Enter your answer in the box. in2 The figure shows a trapezoid. The parallel bases of the trapezoid are horizontal, and top base is shorter than the bottom base. Vertical line segments are drawn inside the trapezoid from the upper vertices perpendicular to the bottom base. These segments are each 6 inches and divide the trapezoid into two right triangles and a rectangle. The rectangle lies between the two triangles. The bases of the triangles and rectangle make up the bottom base of the trapezoid. The base of each triangle is 4 inches, and the base of the rectangle is 8 inches.

Answers

Answer 1

Answer: [tex]\text{Area}=72\ inches^2[/tex]

Step-by-step explanation:

By the given description of trapezoid we get,

The height of the trapezoid h= 6 inches

The base of triangle = 4 inches

The base of rectangle (a)= 8 inches

The bottom base of the trapezoid (b)= 2×base of triangle +base of rectangle

The bottom base of the trapezoid (b)= [tex]2(4)+8=8+8=16\ inches[/tex]

The area of trapezoid is given by :-

[tex]\text{Area}=\frac{1}{2}(a+b)h\\\\\Rightarrow\text{Area}=\frac{1}{2}(8+16)(6)\\\\\Rightarrow\text{Area}=72\ inches^2[/tex]

Answer 2

Answer:

Step-by-step explanation:

Related Questions

at halloween 3/10 of the candy robin receivd was chocolate. what percent of candy was chocolate,

PLEASE HELP ME!!!!!!!

Answers

if 3/10 was chocolate
3/10=0.3
0.3 *100=30% was chocolate

which ratio is porportional to 18/21? A.2/3 B. 30/35 C. 36/48 D.1/3

Answers

You can solve this problem by applying the proccedure below:

You have:

a) 18/21=2/3
18x3/21x2
36≠42 (2/3 is not proportinal to 18/21).

b)18/21=30/35
18x35/21x30
630=630 (30/35 is proportional to 18/21)

c)18/21=36/48
18x48/21x36
864≠756 (36/48 is not proportinal to 18/21)

d)18/21=1/3
18x3/21x1
54≠21 ( 1/3 is not proportinal to 18/21)

Therefore, you can conclude that the correct option is: B.30/35

What is the volume of a cube with an edge length of 2.7 centimeters?

Enter your answer, as a decimal, in the box.

cm³

Answers

For the volume you have to cube (hence the name) the edge length:

(2.7)³ = 19.683 cm³

Answer:

the answer is V≈19.68cm³

V=a3

Edge

Step-by-step explanation:

The diagonals of a rhombus are 12 in. and 16 in. long. The length of a side of the rhombus is 10 in. What is the height of the rhombus? Explain how you found your answer.

Answers

If d₁ and d₂ are the lengths of the diagonals, the area is given by
.. A = (1/2)*d₁*d₂
.. A = (1/2)*(12 in)*(16 in)
.. A = 96 in²

If b is the base and h is the height, the area is given by
.. A = b*h
We know the values of A and b, so
.. 96 in² = (10 in)*h
.. (96 in²)/(10 in) = h = 9.6 in

The height is 9.6 in.

Claire bought 3 bars of soap and five sponges for $2.31. Steve bought five bars of soap and three sponges for $3.05. Find the cost of each item

Answers

1st: 3b+5s=2.31 2nd: 5b+3s=3.05Multiply 1st by 5 to get:3rd: 15b+25s=11.55Multiply 2nd by 3 to get:4th: 15b+9s=9.15Subtract 4th from 3rd to get: 16s=2.4 s=0.15 or 15 cents (cost of bar of soap)Substitute into 1st to solve for b:3b+5(0.15)=2.313b+0.75=2.313b=1.56b=0.52 or 52 cents (cost of a sponge)

Experts/ace/geniuses helpp

Answers

square root 144 = 12 so this is the rational number

Sven investigates the amount of damage to the head gaskets on the trucks in his fleet and find that the damage index depends on the ambient temperature. He develops the equation y = - 2 3 x + 14 to model the relationship. What does 14 mean? A) The temperature only adds 14 to the damage index. B) If there is no damage index then the ambient temperature is 14. C) If the damage index is 0, then the ambient temperature would be 0. D) If the ambient temperature is 0 then the damage index would be 14.

Answers

Given is the damage index equation, [tex] y=\frac{-2}{3} x+14 [/tex]

where y represents damage index, and x represents ambient temperature.

It is similar to slope-intercept form of linear equation given by y = mx + b.

Where m is said to be the slope of line and b is the y-intercept of the line. When x = 0, y = b.

Similarly, if plug x = 0 in the damage index equation, [tex] y=\frac{-2}{3} (0)+14=14 [/tex]

So, If ambient temperature, x = 0. Then damage index, y = 14.

Hence, option D is correct i.e. " If the ambient temperature is 0 then the damage index would be 14".

Answer:

The answer is D because 14 is the y-intercepts, which means that the x-value is 0. So the correct meaning is If the ambient temperature is 0 then the damage index would be 14. .

Step-by-step explanation:

What are the solutions to the equation √ ̅5x + 1 = x + 1?

Answers

0

0 is your solution

√5(0) + 1 = (0) + 1

0 + 1 = 0 + 1 (True)

No other number works, because it will not equal

hope this helps

Please help with number 4 please !!

Answers

The lower-left statement is a statement of the Associative Property of Addition. The others are statements of the Commutative Property of Addition. It appears the lower-left statement "doesn't belong".

Using synthetic division, find (x4 − 2) ÷ (x + 1).

Answers

Answer:

Step-by-step explanation:

We have given:

x^4-2/x+1

Put x+1 = 0

x= 0-1

x= -1

-1 | 1 0 0 0 -2

| -1 1 -1 1

_______________

1 -1 1 -1 -1

Thus it makes the expression:

x^3-x^2+x-1 - 1/x+1

You can further confirm this expression by solving the expression:

(x4 − 2) ÷ (x + 1).

x^4 - 1 -1/x+1

x^4-1/x+1 - 1/x+1

(x^2-1) (x^2+1)/x+1 - 1/x+1

(x-1)(x+1) (x^2+1)/x+1 - 1/x+1

x+1 n the numerator will be cancelled out by x+1 in the denominator.

(x-1) (x^2+1) - 1/x+1

Multiply (x^2+1) by x-1

x(x^2+1) -1(x^2+1) - 1/x+1

x^3+x-x^2-1 - 1/x+1

x^3-x^2+x-1 - 1/x+1 ....

given that 1 is a zero of p(x)=3x^4-x^3-8x^2+2x+4, factor the polynomial completely, and then list all its zeros.

Answers

Divide p over (x-1) with euclidian division we get the quotient:
[tex]3x^3+2x^2-6x-4[/tex]
Note that -2/3 is also roots of the above polynomial.
Checking:
[tex]3(-2/3)^3+2(-2/3)^2-6(-2/3)-4=0[/tex]
Dividing again with euclidian algorithm we get the quotient:
[tex]3x^3+2x^2-6x-4[/tex] over [tex]3x+2[/tex] is [tex]X^2-2[/tex].
Final factorization:
[tex]p(x)=(x-1)(3x+2)(x-\sqrt2)(x+\sqrt2)[/tex]

find the area of an equilateral triangle (regular 3-gon) with the given measurement 9-inch A=sq. in.

Answers

assuming is a 9 inch side.

[tex]\bf \textit{area of an equilateral triangle}\\\\ A=\cfrac{s^2\sqrt{3}}{4}\qquad \begin{cases} s=length~of\\ \qquad a~side\\ -------\\ s=9 \end{cases}\implies A=\cfrac{9^2\sqrt{3}}{4}\implies A=\cfrac{81\sqrt{3}}{4}[/tex]

How do you find the perimeter of a tennis court with an area of 7,200?

Answers

most likely divide it by 4

A student who was ineligible for financial aid needed to borrow 775,000 for tuition,books,and living expenses. Some money was borrowed at 8%, some at 9%, and some at 10%. How much was borrowed at each interest rate if the annual interest owed was 67,500 and the amount borrowed at 8% was four times the amount borrowed at 10%.
8%:
9%:
10%:

Answers

$75,000 was borrowed at 10%; $300,000 was borrowed at 8%; and $400,000 was borrowed at 9%.

Since we are only looking at one year, and we assume the interest is compounded no more than annually, we can use the formula for simple interest:

I = prt

Let p be the amount borrowed at 10%. Then 4p, or 4 times the amount borrowed at 10%, is borrowed at 8% interest. The remaining amount, (775000-4p-p) or (775000-5p) is borrowed at 9%. The amount of interest for each portion of the loan is given by:

I=p(0.1)(1)
I=4p(0.08)(1)
I=(775000-5p)(0.09)(1)

Adding these together for the total amount of interest, $67,500, we have:

67500=p(0.1)(1)+4p(0.08)(1)+(775000-5p)(0.09)(1)

Simplifying the right hand side we have:
67500=0.1p+0.32p+69750-0.45p

Combining like terms gives us:
67500= -0.03p+69750

Subtract 69750 from both sides:
67500-69750= -0.03p+69750-69750
-2250= -0.03p

Divide both sides by -0.03:
-2250/-0.03 = -0.03p/-0.03

75000 = p

So $75000 is the amount borrowed at 10%; 4(75000)=$300,000 borrowed at 8%; and 775000-75000-30000= $400,000 borrowed at 9%.

Nancy has nine books and she has read 8 total books Sally has two times more books the Nancy how many books does Sally have

Answers

Sally has eight-teen books.

Sally has 18 books, as she has two times more books than Nancy, who has 9 books. The equation used is Sally's books = 2 × Nancy's books. Therefore, 2 × 9 = 18.

To determine how many books Sally has, we need to understand that she has two times more books than Nancy. Nancy has a total of 9 books.

The equation we use here is:

Sally's books = 2 × Nancy's books

Given Nancy's books = 9:

Sally's books = 2 × 9 = 18

Therefore, Sally has 18 books.

A set of scores ranges from a high of x = 96 to a low of x = 11. if these scores were placed in a grouped frequency distribution table, what is the best value for the interval width?

Answers

There is no hard and fast rule to select the class width. It largely depends on our application.However, one thing that should be kept in mind is that the number of classes should neither to be too low nor too high. So keeping this thing in mind, the class width is select.

The range of the data is = Maximum- Minimum = 96 - 11 = 85
10 classes will be most suited for this data.

The class width for each data can be calculated as:

Class Width = Range / Number of Classes = 85/10 = 8.5
Class width is always rounded to nearest next integer. So the class width will be 9 in this case.

So, the best value of class width or interval width for the given data will be 9.

The best value for the interval width is 17

The highest and the lowest data elements are given as:

x = 96

x = 11

Start by calculating the range

Range = High - Low

So, we have:

Range = 96 - 11

Range = 85

The interval width depends on the number of classes.

Assume that the number of classes is 5,

Then the width is calculated as:

Width = Range / Class

So, we have:

Width = 85/5

Width = 17

Hence, the number of interval width is 17

Answers

1. Option 4
2. Option 2
3. Option 2
4. Option 4 (not completely sure)
5. Option 2
6. Option 1 (not completely sure)
7. Option 4
8. Isotopes are caused by different numbers of neutrons in the electron cloud
9. Not sure of the question
10. Positive charge
11. nucleus

Answer:

1. Option 4

2. Option 2

3. Option 2

4. Option 4 (not completely sure)

5. Option 2

6. Option 1 (not completely sure)

7. Option 4

8. Isotopes are caused by different numbers of neutrons in the electron cloud

9. Not sure of the question

10. Positive charge

11. nucleus

Step-by-step explanation:

Give the guy above me brainliest.

one bag of toy animals weigh12 ounces. what is the total weight, in ounces, of the bags of toy animals in one crate

Answers

Assuming I understand what you're saying, if there are 2 boxes in a crate and 18 bags in a box, the answer would be 12 * 36 = 432

Solve for x. x − 4 1/6 = 9 1/3 A) −131 2 B) −51 6 C) 131 2 D) 51 6

Answers

I believe the answer is B

The answer would be: B -51 6

Find the midpoint of side EF. Figure EFGH is shown. E is at negative 2, 3. F is at 1, 6. G is at 4, 3. H is at 1, 0. (−1, 4) (−0.75, 4.25) (−0.5, 4.5) (−0.25, 4.75)

Answers

The midpoint can be found using the midpoint formula.

[x1+x2/2 , y1+y2/2]
[-2+1/2 , 3+6/2]
[-1/2 , 9/2]
[-0.5 , 4.5]

The midpoint is [0.5 , 4.5]

Answer:

Hence, the mid-point of side EF is located at:

(-0.5,4.5)

Step-by-step explanation:

We know that the coordinates of a mid-point C(e,f) of a line segment AB with vertices A(a,b) and B(c,d) is given by:

[tex]e=\dfrac{a+c}{2},\ f=\dfrac{b+d}{2}[/tex]

Here we have to find the mid-point of side EF.

E(-2,3) i.e. (a,b)=(2,3)

and F(1,6) i.e. (c,d)=(1,6)

Hence, the coordinate of midpoint of EF is:

[tex]e=\dfrac{-2+1}{2}\ ,\ f=\dfrac{3+6}{2}\\\\\\e=\dfrac{-1}{2}\ ,\ f=\dfrac{9}{2}\\\\\\e=-0.5\ ,\ f=4.5[/tex]

Hence, the mid-point of side EF is:

(-0.5,4.5)

Rosa paints a wall in her bedroom. She puts green paint on 5/8 of the wall and blue paint on 3/8 of he wall. Compare fractions using <>=

Answers

5/8 > 3/8
or it could be written as
3/8<5/8

if 10/4 = 14/x what is x?

Answers

Is there answer choices? Because if you do 10/4=2.5 and if you do 14/2.5 you get 5.6

Answer: 5.6

Explanation:

1) set the proportion:

10        14
----- =   -----
4           x

2) clear the unknown, x

10x = 14(4)

=> 10x = 56

=> x = 56 / 10

=> x = 5.6

Bob traveled 90 miles which was 250/3 % of his trip. How many miles did he still have to travel?

Answers

250/3 more than 100% So Bob traveled much more than he expected.

Answer:

Step-by-step explanation:

[tex]90[/tex] ÷ [tex]\frac{250}{3} = 1.08[/tex]

This is 1% of the trip

[tex]1.08[/tex] · [tex]100 = 108[/tex]

This is the amount of the whole trip

[tex]108 - 90 = 18[/tex]

So the answer is he has to 18 more miles to travel.

In one week, the Green Recycling Center
received 784 aluminum cans. They
received the same number of cans each
day. How many cans did the recycling
center receive each day?

Answers

[tex]784 \div 7 = 112[/tex]
112 cans each day

What is BP? Enter your answer as a decimal in the box

Answers

check the picture below.

Zakir loans Panji $20,000 for one year at 8% simple interest. Three months later, Zakir sells the note to Ben at a simple discount rate of 7 3/4%. How much does Ben pay for the note?

Answers

The maturity value of the note is
.. mv = P*(1 +rt) = 20,000*(1 +.08*1) = 21,600

The note is sold to Ben at the discounted price of
.. 21,600*(1 -rt)
.. = 21600*(1 -.0775*0.75) . . . . . 9 months is 0.75 years
.. = 20,344.50

Ben pays $20,344.50 for the note, which has a maturity value of $21,600.

a rectangular prism has a top area of 20ft square and a height of 5ft. what is the volume of this rectangular prism

Answers

V = Bh
.. = (20 ft^2)*(5 ft)
.. = 100 ft^3

The volume of this rectangular prism is 100 ft^3.

In a circle with a radius of 6 m, an arc is intercepted by a central angle of 7π4 radians. What is the arc length? Use 3.14 for π . Enter your answer as a decimal in the box.

Answers

[tex]\bf \textit{arc's length}\\\\ s=r\theta \quad \begin{cases} r=radius\\ \theta =angle~in\\ \qquad radians\\ ------\\ r=6\\ \theta =\frac{7\pi }{4} \end{cases}\implies s=6\cdot \cfrac{7\pi }{4}\implies s=\cfrac{21\pi }{2}[/tex]

Answer:

[tex]Arc length=32.97m[/tex]

Step-by-step explanation:

It is given that In a circle with a radius of 6 m, an arc is intercepted by a central angle of [tex]\frac{7\pi}{4}[/tex] radians.

Then, the arclength of the circle is given as:

[tex]Arc length=radius{\times}central angle[/tex]

⇒[tex]Arc length=6{\times}\frac{7\pi}{4}[/tex]

⇒[tex]Arc length=\frac{21\pi}{2}[/tex]

⇒[tex]Arc length=10.5{\times}3.14[/tex]

⇒[tex]Arc length=32.97m[/tex]

Thus, the arc length of the given circle is 32.97m.

15% of the bands total ticket sales is $375. Which proportion should we use

Answers

2,500

Hope this helped!

Trey graphs the equations y = –x2 + 2x + 3 and y = x2 – 2x + 3 to solve the equation –x2 + 2x + 3 = x2 – 2x + 3. His graph is shown below.

mc011-1.jpg

What are the solution(s) of –x2 + 2x + 3 = x2 – 2x + 3?

Answers

all you have to do is go on desmos calculator and type those two equations in the two point where the graph meets are the solutions to this problems (0,3) and (2,3)

The solution of the equation [tex]-x^2+2x+3=x^2-2x+3[/tex] are the x-coordinates of common points on the graphs of the function [tex]y=-x^2+2x+3[/tex] and [tex]y=x^2-2x+3.[/tex]

As you can see from the attached diagram these graphs intersect at points (0,3) and (2,3), then the solutions of the previous equation are x=0 and x=2.

Answer: x=0, x=2.

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