These two triangles are similar. What are a and b? Note: the two figures are not drawn to scale. Please help with this!!!

Mathematics

1 answer:

sesenic [268]2 years ago

6 0

9514 1404 393

Answer:

a = 6
b = 22.5

Step-by-step explanation:

The ratio of smallest sides in the two triangles is ...

smaller / larger = 4/10

To find A and B, we write proportions involving corresponding side lengths.

Side A in the smaller triangle is ...

A/15 = 4/10

A = (4/10)(15) = 6

The ratio of larger to smaller is the inverse of the above ratio, so ...

B/9 = 10/4

B = (10/4)(9) = 22.5

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If a baker doubles a recipe that calls for 6-2/3 cups of flour. How many cups will be needed in all?

nadya68 [22]

Hey there!

The easiest way I could think to do this is by converting your mixed number to an improper fraction and multiplying the fraction by 2, or 2 over 1.

$6 \frac{2}{3} = 6*3+2 = \frac{20}{3}$

$\frac{20}{3} * \frac{2}{1}$

To multiply fractions, you can just multiply the numerators and denominators and simplify, if applicable.

$\frac{20}{3} * \frac{2}{1} = \frac{40}{3}$

Since you can't simplify this fraction in its improper form, just convert it back into a mixed number.

$\frac{40}{3} = 13 \frac{1}{3}$

So, your answer will be $13 \frac{1}{3}$ .

Hope this helped you out! :-)

4 0

1 year ago

Read 2 more answers

Which statements are true about David's work? Check all that apply. The GCF of the coefficients is correct. The GCF of the varia

Anon25 [30]

Answer:

The GCF of the coefficients is correct.

The variable c is not common to all terms, so a power of c should not have been factored out.

In step 6, David applied the distributive property.

Step-by-step explanation:

Given the polynomial :

80b⁴ – 32b²c³ + 48b⁴c