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4 years ago

The perimeter is 40. How much bigger is the longest side than the shortest side?

Mathematics

1 answer:

sesenic [268]4 years ago

3 0

Answer:

Step-by-step explanation:

40=2a-3+2a+3a+1

add like terms

40=7a-2

get 'a' by its self

40(+2)=7a-2(+2) [2 cancels out]
42(÷7)=7a(÷7) [7 cancels out]
a=6

plug in the answer for Equations

biggest: 3(6)+1= 18+1= 19
smallest: 2(6)-3= 12-3=9

subtract smallest from biggest

19-9=10

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weeeeeb [17]

Answer:

width = 2v - 19

Step-by-step explanation:

5 0

3 years ago

Triangle E F G. Side E F is 6 meters, F G is 5 meters, E G is 7 meters. Angle F is 87 degrees and angle G is 58 degrees. Triangl

daser333 [38]

Answer:

Similar triangles

Step-by-step explanation:

Refer to attached

Given:

EF =6 m, FG = 5m, EG = 7 m
∠F = 87°, ∠G= 58°, ∠E = 180° -(87°+58°) = 35°

KL= 28 m, LJ = 24 m, JK = 20 m
∠J = 87°, ∠K = 58°, ∠L = 35°

We can see that:

∠F≅∠J, ∠G ≅ ∠K, ∠E ≅ ∠L

and

KL/EG = LJ/EF = JK/FG = 28/7= 24/6= 20/5 = 4

So the corresponding angles are congruent and corresponding sides are similar

We can conclude that the triangles are similar

5 0

4 years ago

Find the volume of this cube in cm³

Degger [83]

Answer:

It is c: 15.625 cm³

Step-by-step explanation:

Formular for cube volumes:

${ \tt{volume = (side \times side \times side)}} \\ { \tt{v = (s_{1} \times s_{2} \times s_{3}) }}$

since sides of a cube are identical:

${ \sf{s_{1} = {s_{2} = {s_{3}}}}}$

Therefore:

${ \sf{volume = (250 \times 250 \times 250) \: mm {}^{3} }} \\ { \sf{v =15,625,000 \: {mm}^{3} }}$

but 1 mm³ = 0.000001 cm³

${ \sf{v = (15,625,000 \times \{1 \times {10}^{ - 6} \} ) \: cm}} \\ { \sf{v = 15.625 \: {cm}^{3} }}$

8 0

3 years ago

What is the measure of BC Enter your answer in the box.

Vlad1618 [11]

Answer:

Angle BDC is an inscribed angle.

The inscribed angle equals one half of the intercepted arc.

Therefore, the intercepted arc equals 130 degrees.

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

(Help Please)

slava [35]

Irst thought: since he needs 7 3/4 tons, and each load can carry LESS than a ton, he'll need to make MORE than 7 3/4 loads. So when you get your answer, make sure it it passes that common sense test. Next: He's got to divide the 7 3/4 ton total among all those loads, 3/4 ton at a time. So he needs to divide: 7 3/4 divided by 3/4. It will be easier to do the math if we turn 7 3/4 into an improper fraction, which will be 31/4. So we have to divide 31/4 divided by 3/4, which will give us 10, with 1/4 left over, for a total of 10 1/4 loads. BUT: the wording is that each load carries AT MOST 3/4 ton, so he may carry less than that amount in any given load(s). So he needs to do an amount GREATER THAN OR EQUAL TO 10 3/4 loads. For practical purposes, that means he has to fill his truck (at least part way) 11 different times. (Think of it as completely filled the first 10 times, and 3/4 filled on the 11th/final time.)

8 0

3 years ago