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3 years ago

Help me with this pleaseee.

Mathematics

2 answers:

katrin [286]3 years ago

8 0

The answer to that is b

Rom4ik [11]3 years ago

6 0

Answer:

i think it would be B bc its not A or C

Step-by-step explanation:

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Changle. Show all work. Round each length to the nearest tenth and each angle to the

Sedaia [141]

Answer:

Part 1) $BC=12.2\ units$

Part 2) $m\angle A=55^o$

Part 3) $m\angle C=35^o$

Step-by-step explanation:

Part 1) Find AC

we know that

In the right triangle ABC of the figure

Applying the Pythagorean Theorem

$AC^2=AB^2+BC^2$

substitute the given values

$AC^2=7^2+10^2$

$AC^2=149\\AC=12.2\ units$

Part 2) Find the measure of angle A

we know that

In the right triangle ABC

$tan(A)=\frac{BC}{AB}$ ----> by TOA (opposite side divided by the adjacent side)

substitute the values

$tan(A)=\frac{10}{7}$

using a calculator

$m\angle A=tan^{-1}(\frac{10}{7})=55^o$

Part 3) Find the measure of angle C

we know that

In the right triangle ABC

$m\angle A+m\angle C=90^o$ ----> by complementary angles

substitute the given value

$55^o+m\angle C=90^o$

$m\angle C=90^o-55^o=35^o$

8 0

2 years ago

Find the selling price for a case of Newman's Own® special blend coffee that costs the retailer $35.87 if the markup is 22% of t

mote1985 [20]

Answer:

The selling price is $46 approx.

Step-by-step explanation:

The cost price is = $35.87

Markup is 22% of selling price.

Let the selling price be = 100%

So, 100%-22%=78% = 0.78

So, solution is = $35.87/0.78=45.98$ ≈ $46.

Hence, the selling price is $46 approx.

4 0

3 years ago

A team of scientists estimate the current number of butterflies in a park to be 20 thousand. The butterfly population is expecte

lesantik [10]

C. seems more plausible

3 0

2 years ago

Match each expression to another expression with the same value. 24 ÷ 3 53 × 7 56 − 21 4 − 3 40 × 2 8 × 50 8 × (5 × 12 − 10) (8

FrozenT [24]

Answer:

a. 24 ÷ 3 = 8 ⇒ i. 8 × 3 ÷ (6 − 3) = 8

b. 53 × 7 = 371 ⇒ h. (8 × 7 − 3) × 7 = 371

g. 8 × (5 × 12 − 10) = 400 ⇒ f. 8 × 50 = 400

Step-by-step explanation:

Given:

We have to match the equivalent expressions:

a. 24 ÷ 3 f. 8 × 50

b. 53 × 7 g. 8 × (5 × 12 − 10)

c. 56 − 21 h. (8 × 7 − 3) × 7

d. 4 − 3 i. 8 × 3 ÷ (6 − 3)

e. 40 × 2

Solution:

a. 24 ÷ 3 = 8

b. 53 × 7 = 371

c. 56 − 21 = 35

d. 4 − 3 = 1

e. 40 × 2 =80

f. 8 × 50 = 400

g. 8 × (5 × 12 − 10) <em>Using PEMDAS rule.</em>

⇒ $8\times (60-10)$

⇒ $8\times 50$

⇒ $400$

h. (8 × 7 − 3) × 7

⇒ $(56-3)\times 7$

⇒ $(53)\times 7$

⇒ $371$

i. 8 × 3 ÷ (6 − 3) = 8

⇒ $\frac{8\times 3}{3}$

⇒ $\frac{24}{3}$

⇒ $8$

Answers:

a. 24 ÷ 3 = 8 ⇒ i. 8 × 3 ÷ (6 − 3) = 8

b. 53 × 7 = 371 ⇒ h. (8 × 7 − 3) × 7 = 371

g. 8 × (5 × 12 − 10) = 400 ⇒ f. 8 × 50 = 400

c,d and e didn't have any match

a is equivalent to i,b equivalent to h and g is equivalent to f.

6 0

3 years ago

What is the measure of an interior angle of a regular 12-gon?

gavmur [86]

Answer:

The measure of an interior angle of a regular 12-gon is 150°.

Hence, option 'C' is correct.

Step-by-step explanation:

We need to determine the measure of an interior angle of a regular 12-gon.

We know that the number of sides in a regular 12-gon = n = 12

Thus,

Using the formula to determine the measure of an interior angle of a regular 12-gon is given by

(n - 2) × 180° = n × interior angle

substitute n = 12

(12 - 2) × 180 = 12 × interior angle

10 × 180 = 12 × interior angle

Interior angle = (10 × 180) / 12

= 1800 / 12

= 150°

Therefore, the measure of an interior angle of a regular 12-gon is 150°.

Hence, option 'C' is correct.

4 0

2 years ago