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3 years ago

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Mathematics

1 answer:

lbvjy [14]3 years ago

6 0

Answer:

5 times the sum of a number and 7 --> 5(n+7)

5 less than the quotient of eight and a number increased by 7 --> 8/n-5+7

8 more than the product of 7 and a number decreased by 2 --> 8+7n-2

Twice the difference of 8 and a number --> 2(8-n)

Step-by-step explanation:

Hope this helps!!

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Classify the following triangle. Check all that apply.

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Arrange the pairs of points in increasing order of the slopes of the lines joining them. (15, 30) and (20, 40)

gavmur [86]

Answer: m1 = 0.5

M2= 0.375

M3 = 2.25

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Step-by-step explanation:

(20,40)-(15,30)=(5,10), m1=5/10=0.5

(18,48)-(12,32)=(6,16), m2=3/8=0.375

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3 years ago

An object is 3.6 m from the pinhole. Its image is 4.2 cm from the opposite side of the pinhole. The height of the image is 0.8 c

madreJ [45]

Answer:

Height of the object is 68.6 cm.

Step-by-step explanation:

The height of the object can be determined by:

$\frac{object distance from pinhole}{image distance from pinhole}$ = $\frac{object height}{image height}$

From the given question;

object distance from pinhole = 3.6 m = 360 cm

image distance from pinhole = 4.2 cm

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So that;

$\frac{360}{4.2}$ = $\frac{object height}{0.8}$

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= $\frac{288}{4.2}$

= 68.571

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Step-by-step explanation:

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2 years ago

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OverLord2011 [107]

Answer:

Part A) $sin(A)=\frac{2\sqrt{42}}{23}$

Part B) $cos(A)=\frac{19}{23}$

Part C) $tan(A)=\frac{2\sqrt{42}}{19}$

Step-by-step explanation:

Part A) we know that

In the right triangle ABC of the figure the sine of angle A is equal to divide the opposite side angle A by the hypotenuse

$sin(A)=\frac{BC}{AB}$

substitute the values

$sin(A)=\frac{2\sqrt{42}}{23}$

Part B) we know that

In the right triangle ABC of the figure the cosine of angle A is equal to divide the adjacent side angle A by the hypotenuse

$cos(A)=\frac{AC}{AB}$

substitute the values

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Part C) we know that

In the right triangle ABC of the figure the tangent of angle A is equal to divide the opposite side angle A by the adjacent side angle A

$tan(A)=\frac{BC}{AC}$

substitute the values

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