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Black_prince [1.1K]
3 years ago
10

Need help with 61. Show steps please.

Mathematics
1 answer:
skelet666 [1.2K]3 years ago
3 0
Just do 3x+5+2x=90 And solve for x.

So, 5x+5=90
5x=85
x=85/5 = 17

now you know the value of x, so you can calculate the angles.

Btw the total angle of a triangle is 180, and since this is a right angle triangle, you know that the two angles added together needs to equal 90.
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An architect builds a model of a park in the shape of a rectangle. The model is 40.64 centimeters long and 66.04 centimeters wid
Nadusha1986 [10]

Answer:

8.3

Step-by-step explanation:

hopeee this helpss outt !!

3 0
2 years ago
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Henry constructed circle A with a radius of 4 units. He then created a sector as shown in the figure below. Which of the followi
Ksivusya [100]

Answer: option D is the correct answer

Step-by-step explanation:

The shaded portion of the circle is the smaller sector whose radius is the same as the radius of the circle which is given as 4 units. The sector is always bounded by two radii with a common point which is the center of the circle and forming an angle at that point. The given sector forms an angle of 45 degrees.

Area of a sector is expressed as

#/360 × π × r^2 and # is in degrees

Therefore, area of the shaded portion or sector = 45/360 × π × 4^2

= 45/360 × 16π

= 45/360 (16π)

4 0
3 years ago
A homeowner is installing a swimming pool in his backyard. he want its length to be 4 feet longer than its width. then he wants
marishachu [46]
1. You have that:

 - The homeowner<span> want the length of the swimming pool to be 4 feet longer than its width.</span> 
 - He wants to surround it with a concrete walkway 3 feet wide.
 - He can only afford 300 square feet of concrete for the walkway.

 2. Therefore, the tota area is:

 At=L2xW2

 L2 is the lenght of the walkway (L2=L1+3+3⇒L2=(W1+4+6)⇒L2=W1+10).
 W2 is the width of the walkway (W1+3+3⇒W2=W1+6)

 3. The area of the walkway is:

 A2=At-A1

 A2=300 ft²

 4. Therefore, you have that the width of the swimming pool is:

 A2=(W1+10)(W1+6)-(W1+4)(W1)
 300=(W1²+6W1+10W1+60)-(W1²+4W1)
 W1²+16W1+60-W1²-4W1-300=0
 12W1-240=0
 W1=240/12
 W1=20 ft

 5. And the length is:

 L1=W1+4
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8 0
2 years ago
Please solve this <br>Solve by completing the square. 4x2+8x−3=0
Greeley [361]

Step-by-step explanation:

4x2+8x−3=0

For this equation: a=4, b=8, c=-3

4x2+8x+−3=0

Step 1: Use quadratic formula with a=4, b=8, c=-3.

x=

−b±√b2−4ac

2a

x= −(8)±√(8)2−4(4)(−3)

2(4)

x= −8±√112

8  x=−1+

1 2 √7 or x=−1+

−1 2 √7

Answer:  x=−1+

1 2√7 or x=−1+

−1 2 √7

7 0
1 year ago
F(x) = 2x^2+ 4x – 5<br> g() = 6x^3 – 2x^2 + 3<br> Find (f - g)(x).
RSB [31]

Answer:

d

Step-by-step explanation:

4 0
3 years ago
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