HELP ME ASAP!!! On a scale used on a map, 3/4 inch represents 8 feet. On the map, what is the length of a room with an actual length of 24 feet?



A
4 in.

B[tex]1 \frac{3}{4} [/tex]

C
[tex]4 \ \frac{1}{2} [/tex]

D
[tex]2 \ \frac{1}{4} [/tex]
​

Answer:

I can't see the 5 the question properly but I'm sure 12) is 4 and 14) 70

Step-by-step explanation: 12) is( 4+4)÷2=4 and 14) 3+5+7=15 so, 5÷15=0.333333... then multiply it by210 you get 70

+ also on 15) just divide 5 by 2=2.5 and then divide 22 by 2.5 you get 8.8

Answer:

BCA

Step-by-step explanation:

Answer:

Volume of prism = 6.3 cm³

Step-by-step explanation:

Given:

Dimensions of parallels line = 2.3 and 1.2 cm

Height of prism = 1.8 cm

Width of prism = 2 cm

Find:

Volume of prism

Computation:

Volume of prism = Area of base x Width

Volume of prism = [(1/2)(sum of parallels line)(Height)]Width

Volume of prism = [(1/2)(2.3 + 1.2)(1.8)]2

Volume of prism = [(1/2)(3.5)(1.8)]2

Volume of prism = [(3.5)(1.8)]

Volume of prism = 6.3 cm³

Answer:

D. Angles 4 and 7

Step-by-step explanation:

Answer 1 and 4 are supplementary angles.

Step-by-step explanation:

Supplementary angles are angles adding up to 180, the only angles listed that are supplementary angles is 1 and 4.

Have a good day!

Answer:

y = -1/2 x - 1

Step-by-step explanation:

The expression in point-slope form is expressed as;

y-y0 = m(x-x0)

(x0,y0) = (6, -4)

slope m = -1/2

Substitute into the formula

y-(-4) = -1/2(x-6)

y+4 = -1/2(x-6)

2(y+4) = -(x-6)

2y+8 = -x+6

2y = -x+6-8

2y = -x-2

y = -1/2 x -2/2

y = -1/2 x - 1

Hence the answer in slope-intercept form is y = -1/2 x - 1

Answer: 108° ; 165°

Step-by-step explanation:

180(n - 2) is the formula to figure out the total degrees in a polygon.

A pentagon has 5 sides, so:

180(5-2) = 180(3) = 540°

Divide the total degrees by the number of angles (a pentagon has 5 angles):

540° ÷ 5 = 108°

24-gon:

180(24 - 2) = 180(22) = 3960°

3960° ÷ 24 = 165°

Answer: 108° ; 165°

Step-by-step explanation:

180(n - 2) is the formula to figure out the total degrees in a polygon.

A pentagon has 5 sides, so:

180(5-2) = 180(3) = 540°

Divide the total degrees by the number of angles (a pentagon has 5 angles):

540° ÷ 5 = 108°

24-gon:

180(24 - 2) = 180(22) = 3960°

3960° ÷ 24 = 165°

Answer:

Let's find the area of 1 triangle (this may not be the formula but I'm doing it in a more easier way).

20(base) x 10.5(height) = 210

210 divided by 2 ( x 1/2) = 105

Since there are 4 sides we must multiply the area of 1 triangle four times! Since there are 4 sides of triangles.

105 x 4 = 420

Oh and I almost forgot! We need to find the area of the square below!

20 x 20 = 400!

Now we add both areas of all the triangles and the area of the bottom square:

420 + 400 = 820 in2 is your answer. (we use the unit 2 since we are finding areas and adding them up)

Formula of a triangle:

BH x 1/2

B(base) x H(height) x 1/2 (basically just dividing by 2)

Answer:

(4, 2.5)

Step-by-step explanation:

Answer:

y = 3x + 5

Step-by-step explanation:

Slope intercept form is

y = mx + b

where m is the slope and b is the y-intercept

Given m = 3 and b = 5

y = 3x + 5

Answer:

x = 7°

Step-by-step explanation:

(8x + 6)° + 118° = 180°

8x = 56°

x = 7°

Answer:42.875 feet3

Step-by-step explanation:

Answer:

Step-by-step explanation:

V=a³

=[tex](3\frac{1}{2})^3=42\frac{7}{8}[/tex]in³

Answer:

[tex]x = 11[/tex]

Step-by-step explanation:

[tex] \frac{12x + 8 - 4x + 4}{2} = 50[/tex]

[tex] \frac{8x + 12}{2} = 50[/tex]

[tex]8x + 12 = 100[/tex]

[tex]8x = 88[/tex]

[tex]x = 11[/tex]

Answer:

1080

Step-by-step explanation:

the formula for finding volume is

length x width x height

so 12 x 15 x 6 which is 1080.

Answer:

Step-by-step explanation:

Given system:

The first equation is a horizontal line, the second equation is a line with a slope of -3.

Since the lines have different slopes, they intersect at one point.

As there is one intersection, the system has one solution.

Answer:

Step-by-step explanation:

[tex]y=x^2+2x-2\\\\y=x^2+2x+1-1-2\\\\\bold{y=(x+1)^2-3}[/tex]

a = 1 > 0  ← it means the parabla opens up, so, the vertex is minimum

The vertex form is  y = a(x - h)² + k, where (h, k) is the vertex

So, from  y = (x + 1)² - 3   the vertex is:  (-1, -3)

Answer:

1. Y=-2x+3

2. Y=3x+2/3

I'm sorry I can't get them all but I know these are right

Answer:

10 girls

11 boys

Step-by-step explanation:

set up a system of equations:

b represents boys, g represents girls

b+g=21           (since there is a total of 21 students)

11b+13g=251   (since each boy has 11 pockets, each girl has 13, total of 251)

i chose the method of substitution, so i solved the first equation to get

b=21-g

then i substitute 21-g for b in the second equation, and solve:

11(21-g)+13g=251

231-11g+13g=251

2g+231=251

2g=20

g=10

then, i solved for boys (by choosing the top equation and substituting 10 for g, since we now know that g=10)

b+g=21

b+10=21

b=11

so there are 10 girls and 11 boys in this class

There are 10 girls and 11 boys in the class.

"It is a statement which consists of equal symbol between two mathematical expressions."

"It is a finite set of equations for which we find a common solution."

For given example,

Let 'x' be the number of girls and 'y' be the number of boys.

Each boy in a class has 11 pockets and each girl in the class has 13 pockets.

And in this class if all 21 students have a total of 251 pockets.

So, we have system of equations,

⇒ x + y =21                                 .......................(1)

⇒ 13x + 11y = 251                        .......................(2)

From equation (1),

x = 21 - y                                  ......................(3)

Substitute this value of 'x' in the equation (2),

⇒ 13(21 - y) + 11y = 251

⇒ 273 - 13y + 11y = 251

⇒ 273 -2y - 273 = 251 - 273

⇒ -2y = -22

⇒ y = -22 / -2

⇒ y = 11

This means, there are 11 boys in the class.

Substitute the value of 'y' in equation (3),

⇒ x = 21 - 11

⇒ x = 10

This means there are 10 girls in the class.

Therefore, there are 10 girls and 11 boys in the class.

Learn more about system of equation here:

https://brainly.com/question/12895249

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Answer:

i) The angular difference in their longitude is approximately 50.65°

ii) The line of longitude where B is located is approximately 30.65°E

Step-by-step explanation:

The given parameters are;

The angle of latitude where the points A and B are located = 60°S

The distance between points A and B = 2,816 km

(i) The angular difference in their longitude, θ, is given as follows;

θ = 2,816/(2 × π × 6,371 × cos(60°)) × 360 ≈ 50.65°

The angular difference in their longitude, θ ≈ 50.65°

(ii) The location of the point A relative to B = Due west

The line of longitude on which A is located = 20°W

∴ The line of longitude where B is located, P = θ - 20°

∴ P = 50.65° - 20°W = 30.65°E

The line of longitude where B is located ≈ 30.65°E.

Answer:

11.7 units

Step-by-step explanation:

sq root(2--4)^2+(-7-3)^2

sq root(6)^2 + (-10)^2

sq root (36)+(100)

sq root 136

equals 11.66 which rounds up to 11.7

The question is incomplete, as the depth of the hook isn't given in the question. However, using a proposed depth for the hook, we could give a stepwise solution to the exercise.

Answer:

Kindly check explanation

Step-by-step explanation:

If given a hook depth of 6 meters, and a distance of 8 m(fishing line from hook) at the the Same depth, then the distance between rose and the fish, x can be calculated, using the relation.

Hypotenus² = opposite² + adjacent²

(refer to attached picture)

x² = 6² + 8²

x² = 36 +. 64

x² = 100

x = sqrt(100)

x = 10 meters

You can use the actual depth value to obtain the actual solution to your question.

Answer:

162cm squared

Step-by-step explanation:

The perimeter of a rectangle can be calculated by length+length+width+width.

We know the length is 18, so our equation of finding the width is:

54-(18*2) divided by 2.

54-36=18.

18/2=9.

The area of a rectangle can be calculated by length * width. We already have the length, and now we have the width.

18*9=162

Answer:

C 10

Step-by-step explanation:

1 1/14 of a dozen is 15

then 150 divided by 15 = 10

I hope this is the right answer

The answer of this problem is -0.6. I'm also gonna leave the solution to show you that it's correct.