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2 years ago

Name the longest and shortest sides of the triangle. 95° 40.0 450

Mathematics

1 answer:

pentagon [3]2 years ago

4 0

Answer:

Hypotenuse is the longest side. And the side opposite to small angle are small sizes

Step-by-step explanation:

450 is longest

40.0 is the shortest

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. Evaluate each of the following without using a calculator. Show all steps clearly. - 5^2

Verizon [17]

Answer:

Step-by-step explanation:

-5^2 expanded is -5 x -5

- two negatives equal a positive

-visual representation of 5 x 5

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7 0

1 year ago

In a right triangle, the measure of one acute angle is 12 more than twice the measure of the other acute angle. Find the measure

soldi70 [24.7K]

Given:

In a right triangle, the measure of one acute angle is 12 more than twice the measure of the other acute angle.

To find:

The measures of the 2 acute angles of the triangle.

Solution:

Let x be the measure of one acute angle. Then the measure of another acute is (2x+12).

According to the angle sum property, the sum of all interior angles of a triangle is 180 degrees. So,

$x+(2x+12)+90=180$

$3x+102=180$

$3x=180-102$

$3x=78$

Divide both sides by 3.

$x=\dfrac{78}{3}$

$x=26$

The measure of one acute angle is 26 degrees. So, the measure of another acute angle is:

$2x+12=2(26)+12$

$2x+12=52+12$

$2x+12=64$

Therefore, the measures of two acute angles are 26° and 64° respectively.

8 0

2 years ago

Which is the completely factored form of 3x^2-12x-15

Luba_88 [7]

Find the GCF (Greatest Common Factor)

GCF = 3

Factor out the GCF ( Write the GCF first. Then, in parentheses, divide each term by the GCF)

3(3x^2/3 + -12x/3 - 15/3)

Simplify each term in parentheses

3(x^2 - 4x - 5)

Factor x^2 - 4x - 5

6 0

2 years ago

A 46 gram sample of a substance that is used to sterilize surgical instruments has a k-value of 0.1374. Find the substance's hal

mars1129 [50]

Answer:

$t=5.0days$

Step-by-step explanation:

Using the formula for the exponential decay that is $N=N_{0}e^{-kt}$ , we have N= $\frac{1}{2}{\times}46=23$ , $N_{0}=46$ and k=0.1374.

Thus, $N=N_{0}e^{-kt}$ becomes

$23=46{\times}e^{-0.1374t}$

$\frac{23}{46}=e^{-0.1374t}$

$\frac{1}{2}=e^{-0.1374t}$

Taking log on both sides, we get

$ln(\frac{1}{2})={-0.1374t}$

$t=\frac{ln\frac{1}{2}}{-0.1}$

$t=\frac{-0.6931}{-0.1374}$

$t=5.0days$

4 0

2 years ago

what is the final amount of $3050.00 that is put into a savings account with 8% interest rate for 25 years, if the interest is c

Anna71 [15]

The formula required is:
$A=P(1+\frac{r}{n})^{nt}$
where A is the amount after t years of the principal P invested at an annual interest rate r (expressed as a decimal fraction) compounded n times per year.
Plugging in the given values, we get:
$A=3050(1+\frac{0.08}{4})^{(4\times25)}=22,096.17$
The final amount is $22,096.17

8 0

2 years ago

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