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Nataliya [291]
3 years ago
7

In parallelogram ABCD, AB=7cm and the perimeter of ABCD is 30cm. What is the length of AD?

Mathematics
1 answer:
Drupady [299]3 years ago
3 0

Answer:

8cm

Step-by-step explanation:

Ab=7cm

Since opposite sides are equal

Cd=7cm

7cm + 7cm = 14cm

Perimeter equals 30cm

:.30cm - 14cm =16cm (bc+ad)

Since both bc and ad are equal,

16cm/2=8cm

:.ad=8cm

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Answer:

  63 degrees

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The interior angle at M is the supplement of the exterior angle at M.

 ∠RMN = 180° -117° = 63°

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An instructor has graded 23 exam papers submitted by students in a class of 24 students, and the average so far is 67. (The maxi
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7. The terminal side of theta, and angle in standard position, intersects the unit circle at
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Complete question is;

The terminal side of angle θ in standard position, intersects the unit circle at P(-10/26, -24/26). What is the value of csc θ?

Answer:

csc θ = -13/12

Step-by-step explanation:

We know that in a unit circle;

(x, y) = (cos θ, sin θ)

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7 0
3 years ago
(Law of Sines)
Mariana [72]

Answer:

Option (D) is correct.

Step-by-step explanation:

In a triangle BCD , with b, c, d as the sides of triangle.

Sine rule states when we we divide side b by the sine of angle B then it is equal to side c divided by the sine of angle C and also equal to side d divided by the sine of angle D.

Using Sine rule,

\frac{b}{\sin B}=\frac{c}{\sin C}=\frac{d}{\sin D}

Consider the first and third ratio,

\frac{b}{\sin B}=\frac{d}{\sin D}

Substitute the values of d = 3 , b= 5 and ∠D=25°

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Thus, option (D) is correct.


7 0
3 years ago
Read 2 more answers
The scatter plot shows the number of years of experience x and the hourly pay rate y for each of 25 cashiers in Ohio.
astra-53 [7]

Answer:

a) y= 0.95*7 +7.95 =14.6

b) y= 0.95*0 +7.95 =7.95

c) For this case we can use the slope from the linear model to answer this question, the 0.95 on this case represent the increase in the hourly pay rate per each year of experience, for example if we have one year of experience the pay rate increase 0.95. So then the answer for this case is 0.95.

Step-by-step explanation:

Assuming the following question: "The scatter plot shows the number of years of experience, x, and the hourly pay rate, y, for each of 25 cashiers in Ohio. x represent the number of years of experience and y the hourly pay rate. The line adusted is:  y=0.95x+7.95, to answer the questions below. Give exact answers, not rounded approximations. "

(a) What is the predicted hourly pay rate for a cashier with 7 years of experience?

For this case we can use the lineal model given:

y = 0.95 x +7.95

And we can replace x =7 years and we got:

y= 0.95*7 +7.95 =14.6

(b) What is the predicted hourly pay rate for a cashier who doesn't have any experience?

For this case we just need to replace in the linear model x=0 since that means no experience and we got:

y= 0.95*0 +7.95 =7.95

(c) For an increase of one year of experience, what is the predicted increase in the hourly pay rate?"

For this case we can use the slope from the linear model to answer this question, the 0.95 on this case represent the increase in the hourly pay rate per each year of experience, for example if we have one year of experience the pay rate increase 0.95. So then the answer for this case is 0.95.

6 0
3 years ago
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