Find X
A = 49
B = 27
C = 98
D = 76

Answer: 20.4 feet

Step-by-step explanation:

(image attached for reference)

To find how high the ladder reaches on the wall, first find the relationship between the angle and the wall. The wall is opposite to the angle, so it's possible to solve this equation using sin(58). Sine equals opposite over hypotenuse so sin(58) = x/24. Multiply 24 on both sides to get an equation that can be plugged into a calculator of 24sin(58) = x.

24sin(58) = 20.35, which gets rounded up to a final answer of 20.4 feet.

The probability of selecting a card with a sunflower or butterfly design is 1/4, and the probability of selecting a card with a lily, daisy, puppy, or bird design is 1/2.

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

Total outcomes = 4×8 = 32  (because 4 cards of 8 design)

The probability of selecting a card with a sunflower or butterfly design:

= 4/32  +  4/32

= 8/32 = 1/4

The probability of selecting a card with a lily, daisy, puppy, or bird design:

= 4(4/32)

= 1/2

The probability of selecting a card with a landscape design:

= 4/32 = 1/8

The probability of selecting a card with a dolphin, sunflower, or landscape design:

= 3(4/32)

= 3/8

Similarly, we can calculate the rest of the probability.

Thus, the probability of selecting a card with a sunflower or butterfly design is 1/4, and the probability of selecting a card with a lily, daisy, puppy, or bird design is 1/2.

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By finding the equations for the length of the candles as a function of time, we will see that the answer is 3.27 hours.

Here we assume that:

Both candles have the same original length L, and both decrease a constant rate.

Candle 1 is consumed in 6 hours, so it is consumed at a rate of:

L/6h.

This means that after a time t in hours, the length of candle 1 is:

L₁(t) = L - (L/6h)*t

For candle 2, the rate is:

L/9h

And the function for the length of candle 2 is:

L₂(t) = L - (L/9h)*t

Now we want to find the value of t such that:

L₂(t) = 3*L₁(t)

So we just solve:

L - (L/9h)*t = 3*(L - (L/6h)*t)

L - (L/9h)*t = 3L - (L/2h)*t

(L/2h)*t -  (L/9h)*t = 3L - L = 2L

(5.5L/9h)*t = 2L

t = 2*(9h/5.5) = 3.27 h

After 3.27 hours, candle 2 will have 3 times the wax that candle 1 has.

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Step-by-step explanation:

Given:
40 houses,

500 liters of waters everyday for common utilities

Unknown amount of water per house which we will call x.

4500 max liters for the gated community

Solve:

4500=40x+500

subtract 500 from both sides

4000=40x

divide by 40

100=x

Check:

40(100)+500=4500

4000+500=450

correct

Answer:

100 liters of water can be used by each house.

Answer:

384 cm^2.

Step-by-step explanation:

This equals the area of 2 triangles + 3 rectangles.

= 2 * 1/2 * 6 * 8 + 14 * 6 + 14 * 8 + 14 * 10

= 48 + 84 + 112 + 140

= 384 cm^2.

Answer:

Q63. B

Step-by-step explanation:

5 cars = 2 houses

1 house = 10 pools = 2.5 cars

1 car = 10÷2.5 = 4

By using the vertical line test, we conclude that graphs 4 and 5 don't represent functions.

The criteria to know when a graph represents or not a function, is to draw a vertical line and see if the line intersects the graph in more than one point. (This is called the vertical line test).

If you do that with graphs 4 and 5, you will see that these two do not represent functions.

For the other graphs is immediate to know that:

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Answer:

~36 units apart

Step-by-step explanation:

~36 units

Answer:

Equal

Step-by-step explanation:

3 feet is equal to 1 yard, so 8 times 3 is 24, so they are equal to.

Answer:

[tex]29.4\ cm^3[/tex]

Step-by-step explanation:

b = 4 × 3.5 = 14 cm²

h = 2,1 cm

then

[tex]V=b\times h[/tex]

   [tex]=14\times2.1[/tex]

   [tex]=29.4\ cm^3[/tex]

Step-by-step explanation:

The length of the rectangle is 4cm and the width is 3.5cm

The area of the rectangle is A = lw

The base area is 4 x 3.5 or 14cm squared

The height is 2.1cm

Substitute 14 for B and 2.1 for h

V = Bh

V = (14)(2.1)

=29.4

Therefore the volume of the prism is 29.4 cubic centimetres

Answer:

4/11

Step-by-step explanation:

a ratio is a fraction:

a:b or a to b

= a/b

so 12:33

= 12/33, which can be reduced to 4/11 when dividing the numerator and denominator by 3

Answer:

3.

m + 7 ≥ 20

Subtract 7 on both sides,

m ≥ 20 - 7

m ≥ 13

The answer is m ≥ 13.

( you need to include both > and =, that is ≥ )

4.

2.1x = 23.1

Divide 2.1 on both sides,

x = 23.1 / 2.1

x = 11

Answer:

For problem #3, we are given [tex]m+7\geq 20[/tex] so we would just subtract 7 from both sides to get rid of the 7 on the left and that would end up subtracting 7 from 20 also leaving us with [tex]m\geq 13[/tex].

For problem #4, we are given [tex]2.1x=23.1[/tex] so we would just divide both sides by 2.1 which would get rid of the 2.1 on the left and that would also make us divide 23.1 by 2.1 leaving us with [tex]x=11[/tex].

Hope this helps!  Let me know if you have any questions

Answer:

a) Yes

b) Not a right triangle

Step-by-step explanation:

The sum of the lengths of any 2 sides of a triangle is greater than the length of the 3rd side.

7 + 8 = 15 > 9

7 + 9 = 16 > 8

8 + 9 = 17 > 7

Therefore, a triangle with side lengths 7, 8 and 9 can be made.

To determine if the triangle is a right triangle, use Pythagoras' Theorem:

a² + b² = c² (where a and b are the legs, and c is the hypotenuse)

The hypotenuse is the longest side, therefore:

Substituting these values into the formula:

⇒ a² + b² = c²

⇒ 7² + 8² ≠ 9²

⇒ 113 ≠ 81

As  7² + 8² ≠ 9²  then the triangle is not a right triangle.

The expression that represents the volume of the cone is one-third pi r squared h = one-third (4) squared (8).

A cylinder is a three-dimensional object. It is a prism with a circular base. A cone is a three-dimensional object made up of a circular base and a vertex.

volume of a cylinder = πr²h

= pi x r² x 7

volume of a cone = 1/3  πr²

= 1/3 pi x 4² x8

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Answer:

A is Correct

Step-by-step explanation:

Answer:

m = -4/3

Step-by-step explanation:

m = y2-y1/x2-x1

therefore at (-3,2) and (0-2)

m = -2-2/0 - (-3)

m = -4/3

Answer:

65 yards

Step-by-step explanation:

4 1/3 = 13/3

13/3 times 15 = 65

Answer:

x=2

Step-by-step explanation:

6x - 3 - 2x = 5

Combine like terms

4x -3 = 5

Add 3 to each side

4x-3+3 = 5+3

4x = 8

Divide each side by 4

4x/4 = 8/4

x = 2

Answer:

x=-108117

Step-by-step explanation:

108105-2+1(2x+10)=1(x-4)

108113+2x=x-4

2x-x=-4-108113

x=-108117

Answer:

See below for all information

Step-by-step explanation:

Given Information

Null and Alternate Hypotheses

Determine z-statistic

[tex]\displaystyle Z=\frac{p-p_0}{\sqrt{\frac{p_0(1-p_0)}{n}}}=\frac{\frac{33}{362}-0.10 }{\sqrt{\frac{0.10(1-0.10)}{362}}}\approx-0.5606[/tex]

Determine p-value from z-statistic

[tex]2\cdot P(Z < -0.5606)=2\cdot\text{normalcdf}(-1E99,-0.5606)\approx2\cdot0.28753\approx0.5751[/tex]

Draw conclusion of p-value based on given significance level

Since [tex]p > 0.05[/tex], we fail to reject the null hypothesis. This means that we do have sufficient evidence to say that the observed rate of inaccurate orders is equal to 10%, making it extremely likely that the null hypothesis is true.

Answer:

26^3 ft is what i got.

5ft x 5ft x 2ft = 50ft

3ft x 4ft x 2ft = 24ft

50ft - 24ft = 26ft

Answer:

36 ft³

Step-by-step explanation:

Formula of a rectangular prism :

Volume = Length x Width x Height

Volume of the bin :

Answer:

See below ~

Step-by-step explanation:

X-intercept(s) : Take y = 0

Y-intercept : Take x = 0

Answer:

Step-by-step explanation:

Remark

All of the given listed figures have the property of 4 sides and 4 angles. There is also some relationship between the angles or pairs of angles. Only the square follows the same path. The others cannot be chosen because the sides differ and the angle properties are quite different.

Answer: Square

Answer:

16л, 8л

Step-by-step explanation:

r=4

area=4*4л

=16л

circumference= 2л*4

=8л

Step-by-step explanation:

this is the sum

hope you understand

The probability of P (pass | afternoon) is 0.37 and the probability of P(pass | afternoon) is 0.71 and the probability of P (pass | afternoon) has greater chance of passing it than the probability of P (pass | afternoon)

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

From the data given:

P(pass | Morning) = 28/75 = 0.37

P(pass | afternoon) = 53/75 = 0.706 ≈ 0.71

Thus, the probability of P(pass | afternoon) has greater chance of passing it than the probability of P(pass | afternoon).

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