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3 years ago

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In a right triangle, the acute angles measure x + 15 and 2x degrees. What is the measure of the smallest angle of the triangle?

1 answer:

Nat2105 [25]3 years ago

5 0

The sum of the three angles of a triangle is always 180 degrees. If the triangle is right, which means one of the angles measures 90 degrees, the other two angles should add up to 90 degrees. With this condition and the given above, x + 15 + 2x = 90. Solving for x in the equation gives x = 25. Substituting x to the given expression for the acute angles gives the measurements of 40 and 50 degrees. Thus, the smallest angle of the triangle is <em>40 degrees</em>.

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Which graph represents the inverse sine function?

hichkok12 [17]

Answer: A.
The inverse sine function is written as sin−1(x) or arcsin(x). Inverse functions swap x- and y-values, so the range of inverse sine is − π/2 to π/2 and the domain is −1 to 1. When evaluating problems, use identities or start from the inside function.
(REFER TO CHART BELOW)

6 0

2 years ago

Determine the first five multiples for the following number 22

iragen [17]

Lets find

$\\ \sf\longmapsto M_n=22n$

$\\ \sf\longmapsto M_1=22(1)=22$

$\\ \sf\longmapsto M_2=22(2)=44$

$\\ \sf\longmapsto M_3=22(3)=66$

$\\ \sf\longmapsto M_4=22(4)$

$\\ \sf\longmapsto M_4=88$

$\\ \sf\longmapsto M_5=22(5)=110$

3 0

3 years ago

Find the unpaid balance on the debt after 5 years of monthly payments on $190,000 at 3% for 25 years

NNADVOKAT [17]

Answer:

$114,000

Step-by-step explanation:

Use formula

$I=P\cdot r\cdot t,$

where

I = interst

P = principal

r = rate

t = time

First, find the interst for 25 years:

I = unknown

P = $190,000

r = 0.03 (3% as decimal)

t = 25

$I_{25}=190,000\cdot 0.03\cdot 25=142,500$

Now find the interest for 5 years:

I = unknown

P = $190,000

r = 0.03 (3% as decimal)

t = 5

$I_5=190,000\cdot 0.03\cdot 5=28,500$

The unpaid balance is

$I=I_{25}-I_5=142,500-28,500=114,000$

6 0

3 years ago

Arrange them from highest to lowest, need help asap Ty

Viktor [21]

Answer:

113, 118, 151, 162, 167, 181, 206, 207, 228, 232, 232, 233, 233, 247, 248, 251, 253, 255, 256, 276

Step-by-step explanation:

Good luck man :)

7 0

2 years ago

How<br>Solve The D. E<br><br> dy/dx=2x^5 y^3 - 4y/x<br><br>

Pachacha [2.7K]

Dy/dx (2x⁵ y³ - 4y/x)

dy/dx (2y³ x⁵ - 4y/x)

dy/dx ( 2y³ x⁵ ) - dy/dx (4y/x)

= 2y³ 5x⁴ - (-4y × 1/x²)

=
10x⁶ y³ + 4y
-------------------
x²

3 0

3 years ago