The top of Mrs. Vonvilla’s coffee table has the dimensions shown. She wants to put a bumper around the edges of the table to protect her child in case he falls. What is the perimeter of the tabletop?
A coffee table has a length of 48 inches and a width of 28 inches.

Use the formula for the perimeter of a rectangle, P = 2 l + 2 w, where P is the perimeter, l is the length, and w is the width.
76 in.
152 in.
304 in.
1,344 in.

Answer:

given

area of triangle = 48

height(h)=12

base(b) =‽

now,

area of triangle(a) =1/2 base×height

48=1/2 b×12

48=b×6

b=8

Answer:

Answer:

[tex]7 {x}^{2} + 19x - 8 \\[/tex]

Step-by-step explanation:

[tex]2(3 {x }^{2} + 8x - 4) + x(x + 3) \\ 6 {x}^{2} + 16x - 8 + {x}^{2} + 3x \\ 6 {x}^{2} + {x}^{2} + 16x + 3x - 8 \\ 7 {x}^{2} + 19x - 8[/tex]

Answer:

2x - y = - 13

Step-by-step explanation:

y - 5 = 2(x + 4) ← distribute parenthesis by 2

y - 5 = 2x + 8 ( add 5 to both sides )

y = 2x + 13 ( subtract 2x from both sides )

- 2x + y = 13 ( multiply through by - 1 )

2x - y = - 13

Answer:

15 days

Step-by-step explanation:

120÷8=15

Are you sure it's high school math?

Answer:

x = 155°

Step-by-step explanation:

This is called a vertically opposite angle.

Answer:

3

Step-by-step explanation:

If you deduct 5 from 8, you get the answer to 5 less than 8.

"5 less than 8" means we subtract 5 from 8:-

8-5

That's the expression :)

Simplify the expression:-

3

So if we have less than a number, we subtract that number.

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)

Work Shown:

[tex]112 \text{ in}^2 = 112 \text{ in}^2 \times \frac{2.54 \text{ cm}}{1 \text{ in}} \times \frac{2.54 \text{ cm}}{1 \text{ in}}\\\\112 \text{ in}^2 = (112 \times 2.54 \times 2.54) \text{ cm}^2\\\\112 \text{ in}^2 = 112 \times (2.54)^2 \text{ cm}^2\\\\112 \text{ in}^2 = 722.5792 \text{ cm}^2\\\\[/tex]

Notes:

Answer:

[tex]\fbox{Perimeter of ∆ABC = 54 units}[/tex]

Step-by-step explanation:

Given:

➳ AC || RP

➳ AC = 18 units

➳ AR = 14 units

➳ RB = 7 units

➳ CP = 10 units

To find:

perimeter of triangle ABC =?

Solution:

in ∆ABC and ∆RBP

since we know AC || RP,

then ∠ACP = ∠RPB

and ∠CAB = ∠PRB (Property of parallel lines)

and ∠B is a common angle in both traingles,

hence ∆ABC ~ ∆RBP from AAA property!

now,

using the properties of similar triangle,

[tex] \frac{AR }{RB} = \frac{CP}{PB} \\ \\ \frac{14}{7} = \frac{10}{PB} \\ \\ X = \frac{10}{2} \\ \\ \fbox{PB = 5} \\ \\ \\ [/tex]

To find perimeter of ∆ABC, add all the components.

Perimeter of ∆ABC = AR + RB + BP +PC + CA

Perimeter of ∆ABC= 14 + 7 +5 +10 + 18 units

[tex]\fbox{Perimeter of ∆ABC = 54 units}[/tex]

Thanks for joining brainly community!

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

In the given figure, PR is parallel to CA, therefore two angles of Triangle ABC is equal to two corresponding angles of Triangle RBP.

that is

[tex]\qquad \sf  \dashrightarrow \:\angle BCA = \angle BPR[/tex]

[tex]\qquad \sf  \dashrightarrow \:\angle BAC= \angle BRP [/tex]

[ They form pairs of corresponding angles ]

So, we can infer that :

[tex]\qquad \sf  \dashrightarrow \:\triangle BAC \sim \triangle BRP [/tex]

The Triangles are similar, by AA criteria ~

let's assume measure of BP = x

Now, let's use its result :

[tex] \qquad \sf  \dashrightarrow \:\dfrac{BA}{BR}= \dfrac{BC}{BP}[/tex]

[tex] \qquad \sf  \dashrightarrow \:\dfrac{14 + 7}{7}= \dfrac{x + 10 }{x}[/tex]

[tex] \qquad \sf  \dashrightarrow \:\dfrac{21}{7}= \dfrac{x + 10 }{x}[/tex]

[tex] \qquad \sf  \dashrightarrow \:3= \dfrac{x + 10 }{x}[/tex]

[tex] \qquad \sf  \dashrightarrow \:3x={x + 10 }{}[/tex]

[tex] \qquad \sf  \dashrightarrow \:3x - {x = 10 }{}[/tex]

[tex]\qquad \sf  \dashrightarrow \:2x = 10[/tex]

[tex]\qquad \sf  \dashrightarrow \:x = 5 \: \: units[/tex]

So, the required Sides of Triangle ABC are :

Therefore, Perimeter = AB + BC + AC :

[tex]\qquad \sf  \dashrightarrow \:21 + 18 + 15[/tex]

[tex]\qquad \sf  \dashrightarrow \:54 \: \: units[/tex]

13/25

hope it helps..!!!

Answer:

first question = 57 degrees

second question = 27 degrees

Step-by-step explanation:

use trigonometry and SOH CAH TOA

then rearrange to find the value of x

using the power of -1

Answer:

the answer is (x-1)^2=4

Answer:

3

Step-by-step explanation:

f(x) = 2x-5      put in 4 for x

f(4) = 2(4) - 5   = 3

Answer:

$48.6

Step-by-step explanation:

35% x 36 = 12.6

36 + 12.6 = $48.6

Answer:

25,645

________________________________________________________

First, find 4,695 × 10

[tex]4,695 * 10 = 46,950[/tex]

Next, do 2,132 × 10

[tex]2,132 * 10 = 21,320[/tex]

Now, subtract by 15.

[tex]21,320 - 15 = 21,305[/tex]

Lastly, subtract by the product you found earlier.

[tex]46,950 - 21,305 = 25,645[/tex]

________________________________________________________

Ask in comments box.

The statement his friend’s statement  is not accurate. The percent increase will be more than 2% is correct.

We have the average hourly earnings for a construction worker is projected to be $24.50 in 2012. jason wants to join the construction work force after he graduates in 2012. his friend tells him that average hourly earnings for construction workers will rise by 2% from 2009 to 2012.

An average value is defined as the sum of all the values divided by the total number of values in a given data.

Therefore we get,have ion industry  average hourly earnings, 2000-2009 a line graph titled construction industry, average hourly earnings (dollars), 2000 to 2009,

where the x-axis shows years and the y-axis shows average hourly earnings of production workers.

line starts at 17.2 on january 2000, slowly increases to 19.7 on january 2006, then increases more quickly to 20.5 on january 2007 and 22.4 on january 2009

The percent increase between two values is the difference between a final value and an initial value, expressed as a percentage of the initial value.

Therefore from the given data line starts

17.2 on january 2006

20.5 on janury 2007

22.4 on janury 2009

It seems that The option B is correct.

Therefore,his friend’s statement  is not accurate. The percent increase will be more than 2%.

To learn more about the percentage value visit:

https://brainly.com/question/11360390

Answer:

Volume of a sphere is 4/3πr^3

Determine r for the radius and multiply by 2 for diameter

Let's first understand the information the problem gives us

⇒ 6000 nails were done

    ⇒ 2% of the 6000 nails were faulty

       ⇒ 2% is equivalent to 2/100

          ⇒ therefore 2/100 of 6000 nails were faulty

             ⇒ 2 out of every 100 nails were faulty

                 ⇒ written mathematically

                    [tex]Faulty-nails=\frac{2}{100}*6000 = 2 * 60 = 120[/tex]

Thus there were 120 faulty nails

Hope that helped!

Answer:

a) c = 11.2
b) c = 2

Step-by-step explanation:
[tex]c^{2} = a^{2} + b^{2}[/tex]

c = line across from the right angle

Hello there!

In order to solve this inequality, we should first use the distributive property:-

3(a-4)≥4(a+5)

3a-12≥4a+20

Now, add 12 to both sides:-

3a≥4a+32

Subtract 4a from both sides:-

3a-4a≥32

-a≥32

Divide both sides by -1:-

a≤-32

The inequality sign changed because we divided both sides by a negative number.

[tex]\mathcal{NOTE:-}[/tex]

I hope everything is clear; however, if you need any explanation or clarification, don't hesitate to let me know, and I will comment or edit my answer. Good luck and have a great rest of your day! :)

Answer:

No, he is not correct.

Step-by-step explanation:

Check the attachment.

Option C) 301 ft³ is the correct answer.

Hence, the closest to the amount of fuel the cylindrical tank can hold is 301 ft³.

This question is incomplete, the missing image is uplaoded along this answer.

Volume simply the amount of space enclosed within a container.

The volume of a cylinder can be expressed as;

V = πr²h

Where r is the radius of the base of the cylinder, h is its height and π is pi ( π = 3.14)

Given the data in the question;

To determine the closest to the amount of fuel the tank can hold, we substitute our given values into the expression above.

V = πr²h

V = 3.14 × (4ft)² × 6ft

V = 3.14 × 16ft² × 6ft

V = 301.44ft³

V = 301 ft³

Option C) 301 ft³ is the correct answer.

Hence, the closest to the amount of fuel the cylindrical tank can hold is 301 ft³.

Learn more about volume of cylinder here: https://brainly.com/question/16788902

[tex]\bold{Heya!}[/tex]

Your answer to this is :

Because the other one is congruent together.

Hopefully This Helps ! ~

#LearnWithBrainly

[tex]\underline{Answer :}[/tex]

Jaceysan ~

Answer:

I believe your answer is C. Stretching.

Step-by-step explanation:

When you rotate an object your keeping its congruence the same or keeping the shape the same size, while rotating it around a point, same goes for Translating, with translating, your just moving an image from its starting point, also having it keep the same congruence, but with stretching, you are distorting the shape making it bigger/smaller than the original shape so it looses its congruence making it no longer congruent.

Answer: rational number

Step-by-step explanation: -2.33333 ...

Answer:

Classifications 1 & 2

Step-by-step explanation:

Real number: because It is located on the number line, belongs to negative numbers.

Rational number: because it is a fraction (quotient)

-7/3 it is not a integer number or whole number

Hope this helps

Answer:

372

Step-by-step explanation:

area of trapezium = a+b/2 * h

a is the length on top

b is the length on the bottom

h is the height

7+24/2*24=

=372

Answer:

Commutative property

Step-by-step explanation:

Commutative property: In multiplication, when the order of the two numbers are changed, then it doesnot affect the end result.

Answer:

A on edge 2022

Answer:

A.  Interest = $1710

B.  Monthly payment = $467.08

Step-by-step explanation:

Simple interest formula:

[tex]\sf A = P(1+rt)[/tex]

where:

Given:

Substitute given information into the formula:

[tex]\begin{aligned} \sf \implies A & = \sf 9500(1+0.09 \cdot 2)\\& = \sf 11210 \end{aligned}[/tex]

Interest = final amount - principal

             = 11210 - 9500

             = $1710

term = 2 years

1 year = 12 months

⇒ term = 2 × 12 = 24 months

Monthly payment = final amount ÷ months in term

                              = 11210 ÷ 24

                              = $467.08

So

[tex]\\ \rm\rightarrowtail I=\dfrac{PRT}{100}[/tex]

[tex]\\ \rm\rightarrowtail I=\dfrac{9500(2)(9)}{100}[/tex]

[tex]\\ \rm\rightarrowtail I=95(18)[/tex]

[tex]\\ \rm\rightarrowtail I=\$ 1710[/tex]

#B

Total months=24

Monthly payment:-

Answer:

5184 sq ins.

Step-by-step explanation:

There are 16 squares  each of area 324,

so total area of the quilt = 324 * 16

= 5184 in^2.