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sergij07 [2.7K]
3 years ago
11

What are the angle measurements

Mathematics
1 answer:
kramer3 years ago
7 0
Angle 1: 36
Angle 2: 122
Angle 3: 122
Angle 4: 38
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How to find x using trigonometry
I am Lyosha [343]
Soh Cah Toa

Sine of the angle = opposite side over the hypotenuse

sin(42°) = 6.5/h
rearrange, solve for h
h = 6.5/sin(42°)
h = 9.7 cm

For the other triangle, the angle is unknown. I'd split it into two right triangles; down angle x since it is an isosceles it will be bisected into two equivalent triangles.

The hypotenuse we just found is now split in half. 9.7/2 = 4.9 base of the new smaller right triangle.

The new hypotenuse of the smaller triangle is 7.4 cm

Then you have..

sin(x/2) = 4.9/7.4
sin(x/2) = 0.67
use inverse sine function
arcSin(0.67) = x/2
41 = x/2
82° = x

There are many ways to solve this problem. This is just what I thought of first using trig.
3 0
3 years ago
If a closet organizer has a total width of 69 1/8 inches and the closet is 69 3/4 inches wide, will the organizer fit?
SVEN [57.7K]
Yes because the closet organizer isn't as wide as the closet itself.
3 0
3 years ago
Which of the following best describes interest as it relates to credit?
sashaice [31]

Answer:

C

Step-by-step explanation:

Let's say you wanted to buy a television. The television cost $200 but you only have $100, so you ask your friend for some money. Your friend says they will give you money but you have to pay them back and pay them interest. So when you go pay them, you pay them $100 dollars along with the amount of money your friend wants you to pay them for borrowing their money. In the end you could end up giving them 120 instead of 100.

7 0
3 years ago
Read 2 more answers
Which expression can be used to determine the slope of the line that passes through the points (–7, 3) and (1, –9)?
cluponka [151]
To determine the slope, you can use the following formula:

(y2-y1)/(x2-x1)
7 0
3 years ago
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Rhett is solving the quadratic equation 0= x2 – 2x – 3 using the quadratic formula. Which shows the correct substitution of the
Artemon [7]

Answer:

StartFraction 2 plus or minus StartRoot (negative 2) squared minus 4(1)(negative 3) EndRoot Over 2(1) EndFraction

Step-by-step explanation:

General quadratic equation: ax^2 + bx + c

where a is the coefficient of the quadratic term, b is the coefficient of the linear term and c is the independent term. Here the equation is: x^2 – 2x – 3, so a = 1, b = -2 and c = -3

Quadratic formula:

x = \frac{-b \pm \sqrt{b^2-4(a)(c)}}{2(a)}

Replacing

x = \frac{2 \pm \sqrt{(-2)^2-4(1)(-3)}}{2(1)}

8 0
3 years ago
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