A rectangular park measures 100m by 60m. A path of constant width is to be paved around the perimeter. The mayor wants to ensure that the resulting area is 6400m2. Find the width of the path. (Round to the nearest tenth.)

Answer:

166°

Step-by-step explanation:

Supplementary angles have a sum of 180 degrees

That being said, we can find the measure of the missing angle by subtracting the measure of the given angle by 180

(the giving angle having a measure of 14°)

so missing angle = 180 - 14

180 - 14 = 166

Hence, the measure of the second angle 166°

Answer:

[tex]\frac{0.2}{20}[/tex]

Step-by-step explanation:

ez

Answer:

B

Step-by-step explanation:

So, lets think about how many inches are in a foot. If you dont know, think about how many inches are on a ruler, 12 right? Well, thats how many inches are in a foot.

So knowing that the truck is 162 inches, lets find how many inches the bridge is. We can do this by multiplying the feet, which is 12. 12(feet) times 12(inches in a foot) equals 144.

Remember that the problem said 12 feet and 5 inches, so we know 12 feet is 144 inches, now we jsut need to add the 5 inches. Well, 144 plus 5 is 149. Clearly, 162(truck) is greater than 149(bridge).

How much taller? lets subtract the heigh of the truck by the bridge: 162-149.

This should get you 13.

So the answer must be that the truck is 13 inches taller.

Answer:

1/6

Step-by-step explanation:

P(H and 3 or 6):  1/2 x 2/6 = 2/12 or 1/6

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Answer: 2400000

You can think of this as 6 x 4 = 24 then because there are 5 zeros in the equation you just have to add 5 zeros to the end!

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

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Answer:

A, (10⁵) (10⁻²) > 8⁹/8⁶

Explanation:

A, (10⁵) (10⁻²) > 8⁹/8⁶ = 10³ > 8³ True

B, (10⁵) (10⁻²) < 8⁹/8⁶ = 10³ < 8³ False

C, (10⁵) (10⁻²) = 8⁹/8⁶ = 10³ = 8³ False

Answer:

60

Step-by-step explanation:

5*3=15

3*3=9

4*3=12

4*3=12

4*3=12

(12*3)+9+15= 60

Answer:

i think the voulme would be 60 cm

Step-by-step explanation:

im sorry if its wrong

Answer:

i dont know if this is the right but i think its -5

Step-by-step explanation:

Answer:

answer is ABCD

Step-by-step explanation:

I took the quiz

Answer:

Yes, it is

Step-by-step explanation:

If you look at a number line, 3 is on the postive side of the number line.

Answer:

1. F

2. (2,2)

3.  points P and E

Step-by-step explanation:

Answer:

20cm^3

Step-by-step explanation:

The volume of a rectangular prism is just the 3 values multiplied by each other. So that would be 6x5x2/3 = 20cm^3

Answer:

The largest angle needed is [tex]95.1^{o}[/tex].

Step-by-step explanation:

To determine the larges angle as required, let us apply the cosine rule.

[tex]c^{2}[/tex] = [tex]a^{2}[/tex] + [tex]b^{2}[/tex] - 2ab Cos C

Since in triangles, the longest side is opposite to the largest angle, then;

[tex]15^{2}[/tex] = [tex]8^{2}[/tex] + [tex]12^{2}[/tex] - 2(8 x 12) Cos θ

225 = 64 + 144 - 192 Cos θ

225 = 208 - 192 Cos θ

192 Cos θ = 208 -225

192 Cos θ = -17

Cos θ = [tex]\frac{-17}{192}[/tex]

Cos θ = -0.08854

θ = [tex]Cos^{-1}[/tex] -0.08854

  = 95.07962

θ = [tex]95.1^{o}[/tex]

The largest angle needed is [tex]95.1^{o}[/tex].

Answer:

Option A

Step-by-step explanation:

Degree of the polynomial function = 4

That means highest degree term of the given polynomial has power = 4

If the roots of a quadratic polynomial are a, b, c, d then the polynomial function will be,

f(x) = (x - a)(x - b)(x - c)(x - d)

It's given in the question that roots are x = -2, -1, 1 and 3

Therefore, polynomial function will be,

f(x) = (x + 2)(x + 1)(x - 1)(x - 3)

From the given options, graph A shows that the graph intersects the x-axis at x = -2, -1, 1 and 3

Therefore, Option A will be the answer.

Answer:

$37.26

Explanation:

firstly, we find the total original price: $34 + $12 = $46.

next, we can multiply this by 100% - 25% = 75% to find the discounted price:

$46 × 75%

= $46 ÷ 100 × 75

= $34.50

finally, add on the sales tax which is 100% + 8% = 108%:

$34.50 × 108%

= $34.50 ÷ 100 × 108

= $37.26

i hope this helps! :D

Answer:

6.38

Step-by-step explanation:

because if the other one 6.3 that means 6.30

Answer:

11. Classification on basis of angles - Acute angled triangle

Classification on basis of sides - Isosceles triangle

12. Classification on basis of angles - Right angled triangle.

Classification on basis of sides - Scalene triangle

13. Classification on basis of angles - Obtuse angled triangle.

Classification on basis of sides - Isosceles triangle.

Answer:

24

Step-by-step explanation:

Since the triangle is isosceles and the bisector is perpendicular, SV= VU

2b= b+24

b=24

Answer:

120

Step-by-step explanation:

180(6-2)/6

Answer:

[tex] \frac{dh}{dt} = - 32t + 64 = 0 \\a) \: t = \frac{ - 64}{ - 32} = 2 \\ \\ b = - 16 \times 4 + 64 \times 2 + 6 = - 64 + 2 \times 64 + 6 = 64 + 6 = 70[/tex]

Answer:

a) t = 2 seconds

b) 70 feet

Step-by-step explanation:

First of all, we are going to take the derivative of the function (which is a displacement function) to make find its velocity function.

[tex]h(t) = -16t^{2} +64t+6[/tex]

To find the derivative of the equation, we must multiply the coefficient by the exponent and then minus one from the exponent for each term.

[tex]v(t)=(-16)(2)t^{2-1} +64(1)t^{1-1}+6(0)t^{0-1} \\v(t) = -32t +64[/tex]

Now we can substitute in v=0

This is because the ball is at the top of its parabola path, it is the turning point and the slope is 0. The velocity physically speaking would also be 0 at the very top of its path.

[tex]0=-32t+64[/tex]

Rearrange and we get:

[tex]32t = 64\\t=2[/tex]

Ball attains maximum height at 2 seconds.

To find the maximum height, we now just have to substitute back in the time into the original equation to find the height.

[tex]h(t) = -16t^{2} +64t+6[/tex]

[tex]h(2) = -16(2)^{2} +64(2)+6\\h(2)=-64+128+6\\h(2) = 70[/tex]

The maximum height attained is 70 feet.

Hope this helped!

Answer:

Combination

Step-by-step explanation:

Answer:

This would be a Permutation.

Answer:

uhhh- sorry I cant see the picture :>

Step-by-step explanation:

But this guy knows the answer >:3

Cory1288 avatar

A) is 76 and B) is 180

why? bc-

cory1288 avatar

104+76=180 and a circle is 360

- Thx for the points have a nice day! ^ω^

Answer:

A. 76

B. 256

Step-by-step explanation:

DF is a diameter so that means the right side of the

circle measure 180 degrees. Angle DGE measures 104, since that the central angle that means Arc DE measures 104 also.

Using arc addition, part of the right side measure 104 so that means the remaining arc must add up to 180.

[tex]104 + x = 180[/tex]

[tex]x = 76[/tex]

Arc EF measure 76.

2. A circle has 360 degrees in it. We are asked to find the measure of the circle expect the Arc ED.

Arc ED measures 104 so

[tex]360 - 104 = 256[/tex]

Step-by-step explanation:

amplitude is 3. so the sin will start at zero and go up to 3 and down to -3. asymptote are at 3 and -3

it's period didn't change it's 2π

it's phase shifted horizontally π/3 to the left

it's phase shifted vertically 2 units down

Answer:

[tex]\text{log}_a(1.5^{-1})=\frac{-9}{5}[/tex]

Step-by-step explanation:

Given;

[tex]\text{log}_a(2)=\frac{1}{2}[/tex]

[tex]\text{log}_a(3)=5[/tex]

By using logarithmic properties,

[tex]\text{log}_a(2)-\text{log}_a(3)=\frac{1}{2}-5[/tex]

[tex]\text{log}_a(\frac{2}{3})=\frac{1}{2}-5[/tex]

[tex]\text{log}_a(\frac{1}{\frac{3}{2}})=\frac{1}{2}-5[/tex]

[tex]\text{log}_a(\frac{1}{1.5})=\frac{1}{2}-5[/tex]

[tex]\text{log}_a(1.5^{-1})=\frac{1-10}{5}[/tex]

[tex]\text{log}_a(1.5^{-1})=\frac{-9}{5}[/tex]

Answer:

2.9

Step-by-step explanation:

5% of 58

58 × 5 ÷ 100 = 2.9

Step-by-step explanation:

Convert 5% to a fraction first.

[tex]5\% = \frac{5}{100} \\ = \frac{1}{20} [/tex]

5% of 58

=

[tex] \frac{1}{20} \times 58 \\ = \frac{58}{20} \\ = \frac{29}{10} \\ = 2.9[/tex]

Answer:

34 Units ^2

Step-by-step explanation:

Answer:

It's 35 months old and weighs 82 kilograms

The data is given in x, y, so the answer will also go in the order x, y.

Hope this helps! :)