What is the volume of this cuboid? Remember to include the correct unit of measurement

Answer:

224 cm³

Step-by-step explanation:

Decompose the figure into two cuboid.

Volume of the bigger cuboid = L*W*H

L = 7 cm

H = 7 cm

W = 4 cm

Volume of the bigger cuboid = 7*7*4 = 196 cm³

Volume of smaller cuboid = L*W*H

L = 7 cm

W = 2 cm

H = 2 cm

Volume of smaller cuboid = 7*2*2 = 28 cm³

✅Volume of the figure = 196 cm³ + 28 cm³ = 224 cm³

The total sum of angles in a trapezium is 360°.

x + 80° + 75° + 105° = 360°

x + 260° = 360°

x = 360° - 260°

x = 100°

The missing angle measurement is 100°.

Hope it helps!

Answer:

on squaring complete term

x + 81 = 784

x = 784 - 81

x = 703

Step-by-step explanation:

Answer:

in family a you multiply by 7

In family b you multiply by 3

Step-by-step explanation:

Sorry if im wrong I should be right if im not then im really sorry :):(

Answer:

family A has greater variability

Step-by-step explanation:

Answer:

m<D' = 180⁰-104⁰

m<D' = 76⁰

Answer:

Step-by-step explanation:

CI = 624 x 1.05 ^3 =722.358 for whole investment   722.36-624 =98.36 for interest only

or for interest only do 624 x .05^3 = 98.36

Standard interest is done like this

year 1 = 624 x 1.05 = 655.20

655.20-624 = 31.20

year 2 = 655.20 + 31.20 = 686.40

year 3 = 686.40 + 31.20 = 717.60

total interest = 717.60-624 = 93.60

So standard interest is the method you have done they may be asking for either compound interest which is the first one or asking for whole investment which means you need to also add 624 at end for Standard interest.

if you need CI interest do the top one.

Step-by-step explanation:

The exterior angles of a triangle is equal to the sum of two non - adjacent interior angles. Now , Set up an equation and solve for x.

[tex] \large{ \tt{x \degree = 63 \degree + 86 \degree}}[/tex]

[tex] \large{ \tt{x \degree = \boxed{ \tt{149 \degree}}}}[/tex]

Hope I helped ! ツ

Have a wonderful day / night ! ♡

# [tex] \underbrace{ \text{Carry \: On \: Learning}}[/tex] !! ✎

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Answer:

[tex]-\frac{1}{2}[/tex]

Step-by-step explanation:

The slope of this line is 2 because the rise from one point is 2, and the run is 1. The change in y-value is divided by the change in the x-value which is 2/1, hence, the slope of the line being 2.

The slope of the line perpendicular to the one shown below will be [tex]-\frac{1}{2}[/tex] because the slope that will result in a perpendicular line is the negative reciprocal of the original slope.

Answer:

$82 per hour

Step-by-step explanation:

Total cost to customer: $490

Cost for parts: $285

$490-$285 = $205

There is a total labor charge of $205.

The problem tells us that the customer paid for 2.5 hours of labor.

$205/2.5 hours = $82.00 per hour.

Answer:

I think d is the answer

Answer:

24.5

Step-by-step explanation:

Answer:

A. 6

Step-by-step explanation:

The equation should equal 20 so first subtract 2 from 20 which is 18 then divide 18 by 3 which is 6, 6 is your answer.

Opposite angles are equal

[tex]\\ \sf\longmapsto 3x+2=20[/tex]

[tex]\\ \sf\longmapsto 3x=20-2[/tex]

[tex]\\ \sf\longmapsto 3x=18[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{18}{3}[/tex]

[tex]\\ \sf\longmapsto x=6[/tex?

Answer:

27

Step-by-step explanation:

[tex] \huge\bf\red{answer}[/tex]

Answer:

128

Step-by-step explanation:

180 - 52

wouldnt it be nice to have a anwers

(A)

Answer:

A

Step-by-step explanation:

Mean gives you the average, so it would give you the average of the price . Sorry if this is wrong .

Answer:

48/73

Step-by-step explanation:

Answer:

for 7 its r and u and r and s. and for 8 its all.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

I believe the answer is 8 to 8 (8/8) or 1

Step-by-step explanation:

16-8=8

Wins= 8

Loses= 8

Ratio= 8/8

8/8= 1

The answer depends how the question asks for it, so its either 8 to 8, or 1

Answer:

28.56/linear yard

32.2256/linear meter

121.77984k

Step-by-step explanation:

a) Scale = k9.52*3 = 28.56/linear yard

b) Scale = k9.52*3.28 = 32.2256/linear meter

c) Cost = 3.9 * 32.2256 = 121.77984k

Answer:

12 feet

Step-by-step explanation:

On a scale drawing of a boat, 15 feet are represented by 10 inches.

This means [tex]15\,\,feet=10\,\,inches[/tex]

[tex]1\,\,inch=\frac{15}{10}\,\,feet=\frac{3}{2}\,\,feet[/tex]

Now, find the length of the boat if the drawing was 8 inches long.

Length of the boat = [tex]8(\frac{3}{2})=12\,\,feets[/tex]

So, length of the boat is 12 feets if the drawing was 8 inches long.

Answer:

1. 3/4 + 1/3 = 1 1/12

2. 1/6 + 2/3 = 5/6

3. 3/8 + 1/4 = 1/4

4. 1/3 + 2/5 = 11/15

5. 1/8 + 3/4 = 7/8

6. 2/5 + 7/10 = 1 1/10

7. 1/6 + 1/3 + 3/4 = 1

8. 1/10 + 3/10 + 3/5 = 1

9. 3/8 + 5/5 + 1/2 = 7/8

10. 11/16

Step-by-step explanation:

Answer:

a) r ∈ O

b) p ∈ A

Step-by-step explanation:

Given:

[tex]O=\{0,r,a,n,g,e\}\\A=\{a,p,1,e\}\\B=\{b,a,n\}[/tex]

To put: symbols ∈ or ∉ in the blanks.

Solution:

A set is a well - defined collection of objects.

In mathematics, an element of a set refers to the object that belong to that set.

a) r ∈ O

b) p ∈ A

Answer:

240 inches squared

Step-by-step explanation:

[tex]A=5*4*12=240[/tex]

Answer:

3/19

Step-by-step explanation: So basically you are asking for the reciprocal and the reciprocal of 19/3 is 3/19. You just basically flip the fraction around.

Answer:

5 for $4.45

Step-by-step explanation:

Answer:

18 ft^3

Step-by-step explanation:

The volume of a right rectangular prism is the area of the base multiplied by the height.

V = Ah

V = (5 5/8 ft^2) * (3 1/5 ft)

First, we convert the mixed numerals into fractions.

V = 45/8 ft^2 * 16/5 ft

Now we multiply the fractions.

V = (45 * 16)/(8 * 5) ft^3

Factor 45 into 5 * 9. Factor 16 into 2 * 8.

V = (5 * 9 * 2 * 8)/(8 * 5) ft^3

We can divide the numerator and denominator by 5 and by 8 before doing the multiplications.

V = (9 * 2)/1 ft^3

V = 18 ft^3