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harina [27]
3 years ago
13

Help I don’t know the answer

Mathematics
1 answer:
labwork [276]3 years ago
7 0

Answer:

128.4 units.

Step-by-step explanation:

We need to set up ratios to do this problem.

Because both trapezoids are similar, we know that all corresponding sides are similar.

\frac{42}{35} = \frac{x}{107}

Simplify.

4,494 = 35x

Divide both sides by 35.

x = 128.4

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If I bought 4 cupcakes for $6, how much would each cupcake cost?
alekssr [168]
Hello! For this question, we are looking for the unit rate. To find the unit rate, all you have to do is divide the cost by the number of cupcakes bought. In this case that's 6/4. 6/4 is 1.5. There. Each cupcake costs $1.50.
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Which point lies on a circle with a radius of 5 units and center at P(6,1)?
ryzh [129]

Answer:

Option B. R(2,4)

Step-by-step explanation:

we know that

If a ordered pair lie on the circle. then the ordered pair must satisfy the equation of the circle

step 1

Find the equation of the circle

we know that

The equation of the circle in center radius form is equal to

(x-h)^{2}+(y-k)^{2}=r^{2}

where

r is the radius of the circle

(h,k) is the center of the circle

substitute the values

(x-6)^{2}+(y-1)^{2}=5^{2}

(x-6)^{2}+(y-1)^{2}=25

step 2

Verify each case

case A) Q(1, 11)

substitute the value of x=1, y=11 in the equation of the circle and then compare the results

(1-6)^{2}+(11-1)^{2}=25

25+100=25 ------> is not true

therefore

the ordered pair Q not lie on the circle

case B) R(2,4)

substitute the value of x=2, y=4 in the equation of the circle and then compare the results

(2-6)^{2}+(4-1)^{2}=25

16+9=25 ------> is true

therefore

the ordered pair R lie on the circle

case C) S(4,-4)

substitute the value of x=4, y=-4 in the equation of the circle and then compare the results

(4-6)^{2}+(-4-1)^{2}=25

4+25=25 ------> is not true

therefore

the ordered pair S not lie on the circle

case D) T(9,-2)

substitute the value of x=4, y=-4 in the equation of the circle and then compare the results

(9-6)^{2}+(-2-1)^{2}=25

9+9=25 ------> is not true

therefore

the ordered pair T not lie on the circle

7 0
3 years ago
The perimeter of a rectangle is 50 centimeters. If the width of the rectangle is 9 centimeters
nordsb [41]

Answer:

Length = 17 cm

Width = 8 cm

Step-by-step explanation:

Let the length be x cm

Therefore, Width = (x - 9) cm

Perimeter of rectangle = 2(l +w)

50 = 2[x + (x - 9)]

50/2 = 2x - 9

25 = 2x - 9

25+ 9 = 2x

2x = 34

x = 34/2

x = 17 cm

x - 9 = 17 - 9 = 8 cm

Therefore,

Length = 17 cm

Width = 8 cm

Thus, the dimensions of the rectangle are 17 cm and 8 cm.

6 0
3 years ago
What is the area of 18 1/3 if the height of the window is 3 1/3
marin [14]
You would find the answer by dividing 3 1/3 from 18 1/3.
55/3 / 10/3
(55/3)(3/10)=55/10=5 1/2 
Answer: 5 1/2
3 0
3 years ago
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