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2 years ago

PLZ ! PLZ! PLZ!

Mathematics

1 answer:

Soloha48 [4]2 years ago

3 0

Answer: Yes they could.

Step-by-step explanation:

The two pairs of sides given are proportional: 3/7 : 9/21

The two triangles have the side:side ratio, meaning they are similar

Because they are similar, their hypotenuses <em>could</em> lie along the same line, not guaranteed, but possible.

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juin [17]

answer: d

explantion :

Factor the numerator and denominator and cancel the common factors.

3 0

2 years ago

Carrie borrows $2600 at an interest rate of 2.5%. The interest paid is $536.25. For how long did she borrow the money?

STALIN [3.7K]

T=i/pr
t=536.25/(2600*0.025)
t=8.25 years

7 0

3 years ago

Read 2 more answers

How many

AVprozaik [17]

Answer:the answer is

Step-by-step explanation:

First convert 7 1/2 to an improper fraction

15/2 ÷ 3/4

Division of fractions hold the first fraction replaces ÷ with x then flip the second fraction

15/2 x 4/3

Multiply the tops 15x4 =60

Over the bottoms multiplied together 2x3=6

60/6=10

10 people can be served that should help

6 0

2 years ago

Given: △ABC, m∠A=60° m∠C=45°, AB=8 Find: Perimeter of △ABC, Area of △ABC . FIRST CORRECT ANSWER GETS POINTS AND BRAINLIEST!!!! T

Ad libitum [116K]

Answer:

Given : In △ABC, m∠A=60°, m∠C=45°,and AB=8 unit

Firstly, find the angles B

Sum of measures of the three angles of any triangle equal to the straight angle, and also expressed as 180 degree

∴m∠A+ m∠B+m∠C=180 ......[1]

Substitute the values of m∠A=60° and m∠C=45° in [1]

$60^{\circ}+ m\angle B+45^{\circ}=180^{\circ}$

$105^{\circ}+ m\angle B=180^{\circ}$

Simplify:

$m\angle B=75^{\circ}$

Now, find the sides of BC

For this, we can use law of sines,

Law of sine rule is an equation relating the lengths of the sides of a triangle to the sines of its angles.

$\frac{\sin A}{BC} = \frac{\sin C}{AB}$

Substitute the values of ∠A=60°, ∠C=45°,and AB=8 unit to find BC.

$\frac{\sin 60^{\circ}}{BC} =\frac{\sin 45^{\circ}}{8}$

then,

$BC = 8 \cdot \frac{\sin 60^{\circ}}{\sin 45^{\circ}}$

$BC=8 \cdot \frac{0.866025405}{0.707106781} =9.798$ unit

Similarly for AC:

$\frac{\sin B}{AC} = \frac{\sin C}{AB}$

Substitute the values of ∠B=75°, ∠C=45°,and AB=8 unit to find AC.

$\frac{\sin 75^{\circ}}{AC} =\frac{\sin 45^{\circ}}{8}$

then,

$AC = 8 \cdot \frac{\sin 75^{\circ}}{\sin 45^{\circ}}$

$AC=8 \cdot \frac{0.96592582628}{0.707106781} =10.9283$ unit

To find the perimeter of triangle ABC;

Perimeter = Sum of the sides of a triangle

i,e

Perimeter of △ABC = AB+BC+AC = 8 +9.798+10.9283 = 28.726 unit.

To find the area(A) of triangle ABC ;

Use the formula:

$A = \frac{1}{2} \times AB \times AC \times \sin A$

Substitute the values in above formula to get area;

$A=\frac{1}{2} \times 8 \times 10.9283 \times \sin 60^{\circ}$

$A = 4 \times 10.9283 \times 0.86602540378$

Simplify:

Area of triangle ABC = 37.856 (approx) square unit

4 0

2 years ago

An experiment was conducted to test the effect of a new cholesterol medicine. Fifteen people were treated with medicine X and 15

gtnhenbr [62]

Considering the hypothesis tested and the p-value of the test, the correct option is given by:

There is sufficient evidence that there is a difference in mean cholesterol level when using medicine X and medicine Y.

<h3>What are the hypothesis tested?</h3>

At the null hypothesis, it is tested if there is no difference between the cholesterol levels, that is:

H₀:Hₓ-H

At the alternative hypothesis it is tested if there is a difference, hence:

H₀:Hₓ-H≠0

The p-value is of 0.003 < 0.01, hence we reject the null hypothesis and conclude that there has was a difference, hence the correct option is given by:

There is sufficient evidence that there is a difference in mean cholesterol level when using medicine X and medicine Y.

More can be learned about hypothesis tests at brainly.com/question/26454209

#SPJ1

6 0

1 year ago