Find the equation of a line perpendicular to x=−4 that contains the point (−3,4). Write the equation in slope-intercept form.

Answer:

36 square units

Step-by-step explanation:

Height = 9

Base = 8

Area of a triangle = A = 1/2bh

Plug in

1/2 (8) (9) = 4 x 9 = 36

Answer:

3 cups of flour

Step-by-step explanation:

If 2 cups of flour make 2/3 add another cup of flour to get 3/3= 1 batch.

Number of cups of flour to make 1 batch of bread is 3 cups.

Proportions are defined as the concept where two or more ratios are set to be equal to each other.

Suppose we have two ratio p : q and r : s. If both these ratios are proportional, then we can write it as p: q : : r : s.

This is same as p : q = r : s or p/q = r/s

We have,

Number of cups of flour used to make 2/3 batch of bread = 2 cups

Let x be the number of cups of flour used to make 1 batch of bread.

Using the concept of proportion,

(2/3) / 2 = 1 / x

(2/3) × (1/2) = 1 / x

1 / 3 = 1 / x

Doing the cross multiplication,

x = 3

Hence 3 cups of flour is needed to make 1 batch of bread.

Learn more about Proportions here :

https://brainly.com/question/26974513

#SPJ2

Answer:

a 7/20. B 13/20

Step-by-step explanation:

800 X 35% = 280

280/800=7/20

Answer:

a. 280/800 (or 7/20 simplified)

b. 520/800 (or 13/20 simplified)

Step-by-step explanation:

a. 800 × 0.35 = 280

Fraction of girls = total girls/total enrollment = 280/800 (or 7/20 simplified)

b. Total boys = Total enrollment - total girls = 800 - 280 = 520

Fraction of boys = total boys/total enrollment = 520/800 (or 13/20 simplified)

Answer:

I think 10

Step-by-step explanation:

because 4 times 10 is 40 and 4 side so 10 for each side

The dimensions of the rectangle are 4.63 inches and 8.63 inches respectively.

Given the following data:

Translating the word problem into an algebraic equation, we have;

\(W = L + 4\)

To find the dimensions of the rectangle:

Mathematically, the area of a rectangle is given by the formula;

\(Area = LW\)

Substituting the values into the formula, we have;

\(40 = L(L+4)\\\\40 =L^2+ 4L\\\\L^2+ 4L -40=0\)

Solving the quadratic equation by using the quadratic formula, we have the following values;

L = 4.63 or −8.63

Length, L = 4.63 inches.

For the width:

\(W = L + 4\)

\(W = 4.63 + 4\)

W = 8.63 inches

Read more: brainly.com/question/897975

Answer:

The circumcenter of a triangle is the point where the three perpendicular bisectors of the sides of the triangle intersect.

Step-by-step explanation:

The process of calculation of circumcenter has been given below.

What is circumcenter of a triangle?

Circumcenter of a triangle is the point of intersection of the perpendicular bisectors of every sides of the triangle.

Let the coordinate of A, B, C \(\Delta\) ABC be (\(x_1, y_1\)), \((x_2, y_2)\) and \((x_3, y_3)\) respectively and let the coordinate of circumcenter of \(\Delta ABC\) is (x, y)

We need to find the length of AB, BC and AC

The length will be obtained in terms of x and y

On solving the equations, we will obtain the value of x and y

The value of x and y is the required coordinate of the circumcenter.

To learn more about circumcenter of a triangle, refer to the link-

brainly.com/question/2294833

#SPJ4

Using the tangent of an angle from trigonometric ratios, the height of the tower is 45.15m

From the diagram of the situation, we can calculate the height of the tower using trigonometric ratios.

Assuming the distance apart the two wires is taken into consideration;

We can have a right - angle triangle.

Using tangent of an angle;

tan θ = opposite / adjacent

tan 62 = x / 24

cross multiply both sides

x = 24 tan 62

x = 45.15 m

The height of the tower is 45.15m

Learn more on trigonometric ratio here;

https://brainly.com/question/17155803

#SPJ1

If a value of 80.2° is added to the data, the range stays at 48º.

The mean of the data-set would change the most, and it would assume a value of 84º.

The mean of a data-set is given by the sum of all observations in the data-set divided by the number of observations. The range of a data-set is given by the difference between the highest value of the data-set by the smallest value of the data-set.

here, we have,

The highest and smallest high temperatures for the city are given as follows:

Smallest: 57º.

Highest: 105º.

Hence the range is obtained as follows:

105 - 57 = 48º.

80.2º would be neither the highest nor the smallest value in the data-set, which would then remain constant.

As it involves all values, it would be changed the most by changing the value of 58º to 101º, and would then assume a value of 84º.

More can be learned about the mean of a data-set at brainly.com/question/1136789

#SPJ1

Answer:

Given circumference (C) = 16

Radius =  

C  =  

2π

2.5464790894703

Diameter =  

C  =  

π

5.0929581789407

Area =  

C2  =  

4π

20.371832715763

Step-by-step explanation:

We've all seen circles before. They have this perfectly round shape.

Every circle has a center, which is a point that lies exactly at the... well... center of the circle. A circle is a shape where the distance from the center to the edge of the circle is always the same. In order to calculate the radius, you need the circumferance or the diameter.

Answer:

Pi is a number that is approximated by 3.14, or 22/7. It is the ratio of the circumference to the diameter of any circle. This ratio can be rearranged to find circumference of a circle by multiplying pi times diameter

Step-by-step explanation:

ggg

Step-by-step explanation:

Answer:

9/16

Step-by-step explanation:

There are 4 beads in the bag, 1 purple and 3 green

P ( green) = green/total

                = 3/4

The bead is replaced

There are 4 beads in the bag, 1 purple and 3 green

P ( green) = green/total

                = 3/4

P ( green, replace, green) =P( green) * P ( green)

                                           = 3/4 * 3/4

                                            = 9 /16

Answer:

The Domain is {3,2-1,0} Range {7,4,2}

Step-by-step explanation:

It is a function because there is one value of y for every x value.

Answer:

The Domain is: 3,2,-1,0.

The Range is: 7,4,2.

Step-by-step explanation:

The Domain is the first ones in the parentheses (x), and the range is the second ones in the parentheses (y).

Answer:

68°

Step-by-step explanation:

Total angle in a quadrant = 90°

x + 22° = 90°

x = 90 - 22

x = 68°

Answer:

883

Step-by-step explanation:

999-116= 883

Answer:

B. 30

Step-by-step explanation:

The single fraction is 7x/20

A fraction can be defined as the part of a whole variable, number or element.

The different types of fractions are;

Algebraic expressions are mathematical expressions consisting of terms, coefficients, variables, factors and constants.

They are made of operations such as multiplication, addition, subtraction, division, etc

Given the expression;

3/4x - 2/5x

Find the LCM

15x - 8x/20

7x/20

Thus, the value is 7x/20

Learn more about fractions here:

https://brainly.com/question/11562149

#SPJ1

Answer:

46

Step-by-step explanation:

Answer:

46

According to question,

10% × x = 20

x = 20 ÷ 10%

x = 20 ÷ 0.1

x = 200

Now find 23% of x

23% × 200

0.23 × 200

46

Answer:

15.) 3 5

27.) 3 9

56.) 2 4

16.) 2 4

28.) 2 4

57.) 3

102.) 2 3 6

268.) 2 4

4518.) 2 3 6 9

93.) 3

144.) 2 3 4 6 9

256.) 2 4

75.) 3 5

450.) 2 3 5 6 9 10

70.) 2 5 10

Step-by-step explanation:

15.) 3 x 5

27.) 3 x 9

56.) 2 x 28 || 4 x 14

16.) 2 x 8 || 4 x 4

28.) 2 x 14 || 4 x 7

57.) 3 x 19

102.) 2 x 51 || 3 x 34 || 6 x 17

268.) 2 x 134 || 4 x 67

4518.) 2 x 2259 || 3 x 1506 || 6 x 753 || 9 x 502

93.) 3 x 31

144.) 2 x 72 || 3 x 48 || 4 x 36 || 6 x 24 || 9 x 16

256.) 2 x 128 || 4 x 64

75.) 3 x 25 || 5 x 15

450.) 2 x 225 || 3 x 150 || 5 x 90 || 6 x 75 || 9 x 50 || 10 x 45

70.) 2 x 35 || 5 x 14 || 7 x 10

Answer:

30

Step-by-step explanation:

45/27=1.666666667

then do 18 times 1.666666667

Answer:

answer

A) 11.7²+X.6²

B) 7²+10² 0²

The square root of 7 is approximately 2.65 when rounded to the nearest hundredth.

Answer Key:

1. Since the question says Mr. Smith runs 2.7 miles every day of the week, you will need to multiply it with 365, the days of the year. The total answer you would get D. 985.5 miles.

| I just want to help you with #2 anyway