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Harrizon [31]
2 years ago
9

Find the area of the composite figure. (View picture)

Mathematics
1 answer:
sattari [20]2 years ago
8 0

Answer:

96\: cm^2

Step-by-step explanation:

  • Given composite figure is a trapezoid.

  • Where, b_1= 14\: cm,\: b_2= 10\: cm, \:\&\: h = 8\: cm

  • Formula for area of trapezoid is given as:

  • A(trapezoid) =\frac{1}{2}(b_1+b_2)(h)

  • \implies A(trapezoid) =\frac{1}{2}(14+10)(8)

  • \implies A(trapezoid) =\frac{1}{2}(24)(8)

  • \implies A(composite\: figure) =96\: cm^2
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Clare has a recipe for yellow cake. She uses 913 cups of flour to make 4 cakes. Noah will follow the same recipe. He will make c
sergejj [24]

Answer:

(C)c= \frac{3}{7}f

Step-by-step explanation:

Clare uses 9\frac{1}{3} cups of flour to make 4 cakes.

It means  she uses 1 cup of flour to make 4\div9\frac{1}{3} cakes.

Let us simplify that expression first for future use.

4\div9\frac{1}{3}=4\div\frac{28}{3} =4 X \frac{3}{28} =\frac{3}{7}

Therefore, Clare uses 1 cup of flour to make \frac{3}{7} cakes.

If Noah follows the same recipe,

He uses f cups of flour to make c cakes

Using Ratio Method

→  Name  :  Cup  :  Cake

→  Clare   :    1        :   \frac{3}{7}

→  Noah   :     f       :   c

By using cross multiplication

c X 1 = \frac{3}{7}f

c= \frac{3}{7}f

The equation c= \frac{3}{7}f represents the relationship between c and f

8 0
3 years ago
An employee at a clothing store makes a base salary of $2,800 a month plus 6.75% of the sales that they make. The function E(s)=
Gennadij [26K]

Answer:

3,340$

Step-by-step explanation:

e(8000)=.0675(8000)+2800

e(8000)=540+2800

e(8000)=3340

4 0
3 years ago
4 friends earn $10.40 for washing a car. how each did each friend get
uysha [10]

Answer:

$2.60

Step-by-step explanation:


6 0
3 years ago
Read 2 more answers
Write an equation in slope-intercept form of the line that bisects the angle formed by BA and BC
slega [8]

Given:

Angled formed by ray BA and ray BC is 90 degrees.

To find:

The equation of line that bisects the angle formed by ray BA and ray BC.

Solution:

If a line bisects the angle formed by ray BA and ray BC, then it must be passes through point B and makes angles of 45 degrees with ray BA and ray BC.

It is possible if the line passes though point B(-1,3) and other point (-2,4).

Equation of line is

y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)

y-3=\dfrac{4-3}{-2-(-1)}(x-(-1))

y-3=\dfrac{1}{-1}(x+1)

y-3=-x-1

Add 3 on both sides.

y=-x-1+3

y=-x+2

Therefore, the required equation of line is y=-x+2.

8 0
3 years ago
If a number is decreased by 8, the result is -21. What is the
wariber [46]

Answer:

answer = -13

Step-by-step explanation:

number = x

x - 8 = -21

x = -21 + 8

  = -13

Recheck :

num = - 13

decreased by 8 = - 13 -8 = -21

4 0
2 years ago
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