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masha68 [24]
3 years ago
14

Help algebra 2 questions.

Mathematics
1 answer:
BabaBlast [244]3 years ago
7 0

For the first question, divide 200 by the seconds. You would get the answer 9.07. This answer is rounded to the nearest hundredth.

The second question, you would convert that to feet by using the units 1 meter = 3.28084.

If you converted it, the answer woudl be 29.75722 ft/second

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Given the triangle below. find the angle 0.
grandymaker [24]

Answer:

Measure of angle θ = 38.7°

Step-by-step explanation:

In the figure attached,

Given triangle has the measure of two legs = 5 units and 4 units

Measure of one angle = θ

By applying tangent rule in the given triangle,

tanθ = \frac{\text{Opposite side}}{\text{Adjacent side}}

        = \frac{4}{5}

        = 0.8

     θ = \text{tan}^{-1}(0.8)

     θ = 38.66

        ≈ 38.7°

Therefore, measure of angle θ is 38.7°.

4 0
3 years ago
89,235 written in expanded form? (2 points)
Rashid [163]
A because, all the numbers multiplied by those factors equals their spot in the number
4 0
3 years ago
A square building with an area of 225 m2 has a garden surrounding it that has an equal width on all sides. The area of the garde
xenn [34]

Answer:

The width of the garden is 1.16 m

Step-by-step explanation:

step 1

<em>Find the area of the garden</em>

To find out the area of the garden multiply by 1/3 the area of the building

225(\frac{1}{3})=75\ m^2

step 2

Find the length side of the square building

The area of a square is

A=b^2

where

b is the length side of the square

we have

A=225\ m^2

so

b^2=225\\b=15\ m

step 3

Find the width of the garden

Let

x ----> the width of the garden

we know that

The area of the building plus the area of the garden is equal to

(15+2x)^2=225+75

solve for x

225+60x+4x^2=225+75\\4x^2+60x-75=0

Solve the quadratic equation by graphing

using a graphing tool

The  solution is x=1.16 m

see the attached figure

therefore

The width of the garden is 1.16 m

Find the exact value

The formula to solve a quadratic equation of the form ax^{2} +bx+c=0

is equal to

x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}

in this problem we have

4x^2+60x-75=0  

so

a=4\\b=60\\c=-75

substitute in the formula

x=\frac{-60\pm\sqrt{60^{2}-4(4)(-75)}} {2(4)}

x=\frac{-60\pm\sqrt{4,800}} {8}

x=\frac{-60\pm40\sqrt{3}} {8}

x=\frac{-60+40\sqrt{3}} {8}\ m  ----> exact value

8 0
3 years ago
What is the volume of the prism?<br> _units3
IrinaVladis [17]

Volume formula: V = hwl

V = 3*3*4

V = 9*4

V = 36

Therefore, the volume is 36cm³

Best of Luck!

8 0
4 years ago
Read 2 more answers
coffee is 7 times as old as his daughter in five years time he will be four times as old as his daughter what will be the ages I
ANEK [815]

Answer: CURRENT AGES: C = 35, D = 5 AGES IN 5 YEARS TIME: C = 40, D = 10

Step-by-step explanation:

We need to use algebra here.

Let C = Coffee's age

Let D = Daughter's age

C = 7 x D

C + 5 = 4 x (D + 5)

C + 5 = 20 + 4D

C = 15 + 4D

7D = 15 + 4D

D = 5

C = 7 x 5

C = 35

5 0
3 years ago
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