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Vilka [71]
3 years ago
13

Find the measures of the numbered angles in each figure

Mathematics
1 answer:
inessss [21]3 years ago
6 0
1 is 90o
2 is 90 - 27 = 63
3  63 angles 2 and 3 are in an isosceles triangle. They are opposite equal sides so the angles are equal.
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Simpson deposits $1,200 in a savings account that earns simple interest at the rate of 5% per year. What interest does he earn a
Verdich [7]

Answer:

$60

Step-by-step explanation:

1200*0.05 = $60

5 0
3 years ago
Questions are in the picture
gtnhenbr [62]

The closest point is (3.5, 1.9) and the distance is 1.96 units

<h3>How to determine the point and the distance?</h3>

The coordinate is given as:

(4, 0)

The equation of the function is

y = √x

The distance between two points is calculated using

d = √(x2 - x1)^2 + (y2 - y1)^2

So, we have the following points

(x1, y1) = (4, 0) and (x2, y2) = (x, 0)

This gives

d = √(x - 4)^2 + (√x - 0)^2

Evaluate the difference

d = √(x - 4)^2 + (√x)^2

Evaluate the exponent

d = √x^2 - 8x + 16 + x

Evaluate the like terms

d = √x^2 - 7x + 16

Next, we differentiate using a graphing calculator

d' = (2x - 7)/[2√(x^2 - 7x + 16)]

Set to 0

(2x - 7)/[2√(x^2 - 7x + 16)] = 0

Cross multiply

2x - 7 = 0

Add 7 to both sides

2x = 7

Divide by 2

x = 3.5

So, we have:

Substitute x = 3.5 in y = √x

y = √3.5

Evaluate

y = 1.9

So, the point is (3.5, 1.9)

The distance is then calculated as:

d = √(x2 - x1)^2 + (y2 - y1)^2

This gives

d = √(3.5 - 4)^2 + (1.9 - 0)^2

Evaluate

d = 1.96

Hence, the closest point is (3.5, 1.9) and the distance is 1.96 units

Read more about distance at:

brainly.com/question/23848540

#SPJ1

3 0
2 years ago
The look out point of a lighthouse is 30 feet above sea level. A boat is 20 feet away from the base of the lighthouse. What is t
olya-2409 [2.1K]
Call the angles of depression D.

then tan(D)=20/30, or I

arctan(tan(D)) = arctan(⅔)

D=33.690. A is the answer

your calculator probably uses tan^-1 rather than arctan
8 0
3 years ago
Read 2 more answers
If 4.3 plus 1.1 times a number equals the sum of the number and 37.6 what is the number
podryga [215]

4.3 + 11*x = x + 37.6

x = 333

6 0
3 years ago
The width of a rectangle is 1/2 of its length. what are the sides of the rectangle if its perimeter in 63 in?
lesya [120]
The length is: 42 inches
The width is : 21 inches
7 0
3 years ago
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