A contractor is pouring a rectangular concrete slab with dimensions of 16 feet by 30 feet. To ensure that the sides of the slab form 90° angles, how many feet should each diagonal measure?.

Answer: 332.6667

Step-by-step explanation: trust

The area of the square is 8 square units.

According to the question,

We have the following information:

Points A and C are two opposite vertices of the ABCD square.

The coordinates of these points are A(3,2), C(7,2).

Now, we will use the distance formula to find AC:

d = [tex]\sqrt{(y2-y1)^{2}+ (x2-x1)^{2} }[/tex]

d = [tex]\sqrt{(2-2)^{2}+ (7-3)^{2} }[/tex]

d = [tex]\sqrt{4^{2} }[/tex]

d = 4 units

Now, when A and C are opposite vertices then AC is a diagonal.

Side of the square = diagonal/[tex]\sqrt{2}[/tex]

Side = 4/√2 units or 2√2 units

Formula to find the area of square:

Side*side

2√2*2√2

4*2

8 square units

Hence, the area of the square is 8 square units.

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the answer is below Learm!!!

Step-by-step explanation:

maybe if u learn in school u would get the answer bum

We need to find the area of a rectangle. The area of a rectangle is given by:

The rectangular tiles that measure 1.5 feet by 0.8 feet. So the area of each tile is:

Therefore, the number of tiles will be the total area of the floor divided by the area of each tile:

Answer:

m∠B  <  m∠C  < m∠A

Step-by-step explanation:

We know that the opposite angle of the smallest arm is the smallest angle

Answer:

About 90 1/5's are in 9.

Answer:

Ok For A should be 3.50 For 5 Meters which in Centimeter is 500. For B you can get 24 meters of ribbon

Step-by-step explanation:

This is how you do it convert the meters to centimeter then see how much the ribbon cost per centimeter which is 0.007

8 meters to centimeters = 800

0.007 x 800 = 5.60

Then for B 24 Meters to Centimeters = 2,400

0.007 x 2,400 = 16.80

EXPLANATION

Given the point (1,-6) and the slope 9 the equation in point-slope form is given by the following form:

Where m is the slope and (x_1,y_1)=(1,-6)

Replacing terms:

Applying the subtraction property:

Explanation:

We can see that this is an isosceles triangle, because there are two sides that are 4 units long and the third side is 3 units long.

For isosceles triangles we have the following congruences:

Therefore angle x is congruent to the one that's 66º.

Then we have that the measures of the interior angles of any triangle add up 180º:

Answers:

• x = 66º

• y = 48º

ANSWER

36 feet

EXPLANATION

We are given that the scale of the model is 1 inch to 9 feet.

The two flagpoles are 4 inches apart in the model.

To find the distance between them when they are installed, we have to use ratio/proportion.

Let the distance between them be x.

We have that from the scale:

1 inch = 9 feet

=> 4 inches = x feet

Now, we can cross-multiply:

Therefore, the distance between them when they are installed is 36 feet.

At least 36.05 games should be played for the owner to make at least $75.

Let the number of games played = g

According to question,

Cost of each game = $7

Cost of g games = 7g

Prizes awarded to the winner costs the owner = $177.35

To make at least $75, the equation is

7g - 177.35 ≥ 75

7g ≥ 75 + 177.35

7g ≥ 252.35

 g ≥ 252.35 / 7

 g ≥ 36.05

Hence, at least 36.05 games should be played.

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Answer:JEROME

Step-by-step explanation:

Answer:

Explanation:

There are two possible answers for a tue-false test:

True and False

It is given

We are asked to determine the volume of the cylinder. To do that we will use the following formula:

Where "r" is the radius and "h" is the height. Replacing the values:

Solving the operations:

Therefore, the volume is 502.4 cubic centimeters.

The measure of the angle ∠BEC is 60°.

We are given two parallelograms: ABCD and BDCE. They have a common base CD. It is given that BC is perpendicular to BD. We need to find the measure of the angle ∠BEC.

In the parallelogram ABCD, ∠BCD is equal to ∠DAB because opposite angles in a parallelogram are equal to each other.

∠BCD = 30°

In the triangle BCD, we will use the angle sum property. The sum of all the angles in a triangle is 180°.

∠DBC + ∠BCD + ∠CDB = 180°

90° + 30° + ∠CDB = 180°

∠CDB = 180° - 120°

∠CDB = 60°

Now, in the parallelogram BDCE, ∠BEC is equal to ∠CDB because opposite angles in a parallelogram are equal to each other.

∠BEC = 60°

Hence, the measure of the angle ∠BEC is 60°.

The complete question is given below.

In the figure given below, ABCD and BDCE are parallelograms with common base DC . If BC ⊥ BD , then find ∠BEC.

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Answer: 5.3

Step-by-step explanation:

[tex]-16t^2 +126t=217\\ \\ 16t^2 -126t+217=0\\\\t=\frac{-(-126) \pm \sqrt{(-126)^2 -4(16)(217)}}{2(16)}\\\\t \approx 5.3 \text{ } (t > 0)[/tex]

Hence, the slope is [tex]-59[/tex] and the y-intercept is [tex]216[/tex].

What is the slope?

The slope or gradient of a line is a number that describes both the direction and the steepness of the line.

Here given that,

Javier has a balance of $[tex]216[/tex] on his game store gift card. He spends $[tex]59[/tex] on each game he buys from the store.

So, the equation is of the form

[tex]y=-59x+216[/tex]

But we know line of equation is

[tex]y=mx+c[/tex]

where [tex]m[/tex] is the slope and [tex]c[/tex] is the intercept.

i.e,

slope is [tex]-59[/tex]

[tex]y[/tex] int is [tex]216[/tex]

Hence, the slope is [tex]-59[/tex] and the y-intercept is [tex]216[/tex].

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The original price of the speakers are found to be $150.

For the given question;

Gary had a 40% discount for car speakers.

The sales price of the speakers was $90.

Let the original price be 'x'.

Thus,

Sales price = original price - discount.

90 = x - 40% of x

90 = x - 40x/100

90 = 6x/10

x = 900/6

x = 150

Thus, the original price of the speakers are found to be $150.

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The width of the rectangle is equal to 3.42 meters

Let the width of the rectangle be represented by the variable x

thus from the question we can say that the length of the rectangle is 3 + x

Given is the area of the rectangle

we know that the area of the rectangle is Length × Breadth

Given area of the rectangle = 22 square meters

thus Area = Length × Breadth

On substituting the value we get

22 = ( 3 + x ) ( x )

x² + 3x = 22

x² + 3x - 22 = 0

b² - 4ac = 9 + 88 = 97

thus - b ± [tex]\sqrt{b^{2} -4ac}[/tex] / 2a

= - 3 ± 9.84 / 2

Thus the two values of x we will get are :

x= -12.84 / 2 = -6.42 which is rejected because width cant be negative

thus the value of x = 6.84 / 2 =3.42 meters

Thus we get values of x as

x =  3.42 meters

Thus the required width of the rectangle = 3.42 meters

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We are given an estimate equation.

Let the estimate sales volume be "s" and advertising expenditure be "a".

The given equation is:

The company has a target sales of 175,000, which is a value for "s".

To get how much they need to allocate for advertising, we can solve for "a" in the equation and substitute the "s" value with 175,000:

Now we substitute 175,000 into "s":

So, by the equation estimate, the sales manager should allocate $327,239 for advertising.

x^2 - 5 this will be the equation formed.

An exponent is the number of times a number is multiplied by itself. For example, 2 to the third (written as 23) means: 2 x 2 x 2 = 8. 23 is not the same as 2 x 3 = 6. Remember that a number raised to the power of one is itself.

let the number be x

x^2 - 5 this will be the equation formed

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The perimeter of the triangle if the value of y is 3 feet is 31 feet

Perimeter of the triangle:

Perimeter of the triangle is calculated as the total distance around the edges of a triangle.

The formula for the perimeter of the triangle is

P = a + b + c.

where

a, b and c refers the sides of the triangle.

Given,

Here we have the triangle with the side values are (y + 5)ft, (3y + 5)ft, and (4y - 3)ft.

Now we have to find the perimeter of the triangle when the value of y is 3 feet.

As per the formula of the perimeter of triangle, first we have to calculate the side values of it, by apply the value of y as 3,

Then we get the sides are,

y + 5 => 3 + 5 = 8 ft

3y + 5 => 3(3) + 5 = 14ft

4y - 3 => 4(3) - 3 = 9ft.

Therefore, the sides of the given triangle are 9ft, 14 ft and 9 ft.

Then the perimeter of the triangle is,

P = 8 + 14 + 9

P = 31

Therefore, the perimeter of the triangle is 31 feet.

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Answer:

10.5 miles per minute

Step-by-step explanation:

630/60=10.5

The values that can represent 'y' when the slope is negative are:

So, values that can represent y are:

Substitute values as follows:

We know that the slope is negative.

So, the value of y needs to be greater than 2 and negative. Then,

Therefore, values that can represent 'y' when the slope is negative are:

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Answer:

<C=75.5⁰

Step-by-step explanation:

<C=<E

<C+<E+<D= 180⁰

<C+<E= 180⁰-29⁰

<C+<C= 151⁰

2<C= 151⁰

<C= 151⁰/2

<C= 75.5⁰

The ferris wheel cast a shadow of 42 meters Tall.

A man of height 2 meters cast a shadow of 3 meters . The height of the ferris wheel can be computed below

height of the ferris wheel = 28 meters

2.

slope: rise(precipitation) / run (time)

In the real world, the slope means the relationship between time and precipitation.

3. AS the time increases, the precipitation increases. Is a linear function.

4. The y-intercept (0,y) means the amount of precipitation when no time passed since tracking.

Both y-intercepts have the same meaning.

Answer: Width = 4.7 meters, Length = 6.7 meters

Step-by-step explanation:

Let the width be [tex]w[/tex]. It follows that the length is [tex]w+2[/tex].

[tex]w(w+2)=32\\\\w^2+ 2w-32=0\\\\w=\frac{-2 \pm \sqrt{2^2 -4(1)(-32)}}{2(1)}\\\\w \approx 4.7 \text{ } (w > 0)\\\\\implies w+2 \approx 6.7[/tex]