All categories

3 years ago

Consider the right triangle below.

Mathematics

2 answers:

MaRussiya [10]3 years ago

4 0

Answer:

15 feet, 7.5 square feet

Step-by-step explanation:

Perimeter = 6.5 + 2.5 + 6

= 15 feet

Area = ½ × 2.5 × 6

= 7.5 feet²

ryzh [129]3 years ago

3 0

Answer:Answer:

15 feet, 7.5 square feet

Step-by-step explanation:

Perimeter = 6.5 + 2.5 + 6

= 15 feet

Area = ½ × 2.5 × 6

= 7.5 feet²

Step-by-step explanation:

You might be interested in

How many solutions -3x+9-2x=-12-5X

vesna_86 [32]

Answer:

Step-by-step explanation:

5 0

3 years ago

How do you create common denominator so you can compare fractions

Fofino [41]

Find a common denominator by multiplying the denominators together. Use that common denominator to create equivalent fractions. Then, compare the numerators to figure out which is bigger

7 0

3 years ago

If Eugene can buy three cantaloupes for $7. Then how many can you buy with $14

suter [353]

I believe the answer would be 6 because 7x2=14 so 3 cantaloupes x 2= 6

8 0

2 years ago

(1/1+sintheta)=sec^2theta-secthetatantheta pls help me verify this

Xelga [282]

Answer:

See Below.

Step-by-step explanation:

We want to verify the equation:

$\displaystyle \frac{1}{1+\sin\theta} = \sec^2\theta - \sec\theta \tan\theta$

To start, we can multiply the fraction by (1 - sin(θ)). This yields:

$\displaystyle \frac{1}{1+\sin\theta}\left(\frac{1-\sin\theta}{1-\sin\theta}\right) = \sec^2\theta - \sec\theta \tan\theta$

Simplify. The denominator uses the difference of two squares pattern:

$\displaystyle \frac{1-\sin\theta}{\underbrace{1-\sin^2\theta}_{(a+b)(a-b)=a^2-b^2}} = \sec^2\theta - \sec\theta \tan\theta$

Recall that sin²(θ) + cos²(θ) = 1. Hence, cos²(θ) = 1 - sin²(θ). Substitute:

$\displaystyle \displaystyle \frac{1-\sin\theta}{\cos^2\theta} = \sec^2\theta - \sec\theta \tan\theta$

Split into two separate fractions:

$\displaystyle \frac{1}{\cos^2\theta} -\frac{\sin\theta}{\cos^2\theta} = \sec^2\theta - \sec\theta\tan\theta$

Rewrite the two fractions:

$\displaystyle \left(\frac{1}{\cos\theta}\right)^2-\frac{\sin\theta}{\cos\theta}\cdot \frac{1}{\cos\theta}=\sec^2\theta - \sec\theta \tan\theta$

By definition, 1 / cos(θ) = sec(θ) and sin(θ)/cos(θ) = tan(θ). Hence:

$\displaystyle \sec^2\theta - \sec\theta\tan\theta \stackrel{\checkmark}{=} \sec^2\theta - \sec\theta\tan\theta$

Hence verified.

8 0

3 years ago

David makes a pizza with 8 slices of equal size. He covers 5 of the 8 with pepperoni. what percent of the pizza is covered with

gayaneshka [121]

Answer:

Step-by-step explanation:

5 ÷ 8 = 0.625 = 62.5%

4 0

3 years ago