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3 years ago

Margery is 3 years younger than 2 times Abby’s age. Margery is 33 years old. How old is Abby?

Mathematics

2 answers:

IrinaVladis [17]3 years ago

6 0

Answer:

d.18

Step-by-step explanation:

SpyIntel [72]3 years ago

4 0

D. 18

33 + 3 = 36
36 / 2 = 18

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(sinA-cosA+1)/(sinA+cosA-1)=2(1+cosecA)

borishaifa [10]

Answer:

The trigonometrical expression is sin² A + sin A - 2 cos A - 2 cos A × sin A = 0

Step-by-step explanation:

Given Trigonometrical function as :

$\frac{sin A - cos A + 1}{sin A + cos A - 1}$ = 2 (1 + cosec A)

Or, $\frac{sin A + ( 1 - cos A)}{sin A - (1 - cos A)}$ = 2 (1 + cosec A)

,<u> Now, rationalizing </u>

$\frac{(sin A + ( 1 - cos A)) \times (sin A + (1 - cosA))}{(sin A - (1 - cos A))\times (sin A + (1 - cos A))}$ = 2 (1 + cosec A)

Or, $\frac{(sin A + (1 - cos A))^{2}}{sin^{2} - (1-cos A)^{2}}$ = 2 ( 1 + $\dfrac{1}{\textrm sinA}$

Or, $\frac{sin^{2}A + (1 - cosA)^{2} + 2 \times sin A \times (1 - cos A)}{sin^{2}A - (1 + cos^{2}A - 2 cos A)}$ = 2 ( $\dfrac{1 + sin A}{sin A}$

Or, $\frac{sin^{2}A + 1 + cos^{2}A - 2 cos A + 2 sin A - 2 sin A cos A}{sin^{2}A - 1 - cos^{2}A +2 cos A}$ = 2 ( $\dfrac{1 + sin A}{sin A}$

Or, $\frac{sin^{2}A + 1 + cos^{2}A - 2 cos A + 2 sin A - 2 sin A cos A}{sin^{2}A - (sin^{2}A + cos^{2}A) - cos^{2}A +2 cos A}$ = 2 ( $\dfrac{1 + sin A}{sin A}$

Or, $\frac{2- 2 cos A + 2 sin A - 2 sin A cos A}{- 2cos^{2}A +2 cos A}$ = 2 ( $\dfrac{1 + sin A}{sin A}$

Or, $\frac{1- cos A + sin A - sin A cos A}{- cos^{2}A + cos A}$ = 2 ( $\dfrac{1 + sin A}{sin A}$

Or, $\frac{(1- cos A) + sin A (1-cos A)}{cos A(1 - cos A)}$ = 2 ( $\dfrac{1 + sin A}{sin A}$

Or, $\frac{(1- cos A) (1 + sinA)}{cos A(1 - cos A)}$ = 2 ( $\dfrac{1 + sin A}{sin A}$

Or, $\frac{(1 + sinA)}{(cos A)}$ = 2 ( $\dfrac{1 + sin A}{sin A}$

Or, sin A + sin² A = 2 cos A (1 + sin A)

Or, sin A + sin² A = 2 cos A + 2 cos A × sin A

Or, sin² A + sin A - 2 cos A - 2 cos A × sin A = 0

So,The trigonometrical expression is sin² A + sin A - 2 cos A - 2 cos A × sin A = 0 Answer

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3 years ago

The lengths of two sides of a triangle are 7.8 cm and 5.6 cm. Between what two measures should the length of the third side fall

zloy xaker [14]

Hello! To draw a triangle, first, we have to follow a condition of existence.

This rule is:

• one of the sides must be ,bigger, ,than the absolute value, of the ,difference between the other two, sides

• the unknown side must be ,smaller ,than the ,sum of the other, two sides.

Let's write these rules using a, b, and c for the sides:

Considering a = 7.8 and b = 5.6:

[tex]\begin{gathered} |a-b|So, the third side must be smaller than 13.4 and bigger than 2.2.

8 0

2 years ago

a meteorologist who sampled 13 randomly selected thunderstorms found that the average speed at which they traveled across a cert

GalinKa [24]

Answer:

Step-by-step explanation:

13x17

4 0

2 years ago

Add. (3b + 5) + (2b + 4) *

gtnhenbr [62]

5b+9 is the answer hope this helps

6 0

3 years ago

A bicycle’s speedometer measures speed to the nearest 0.1 miles per hour. Which is the most appropriate way to report speed usin

Rina8888 [55]

The bicycle`s speedometer measures the speed to the nearest 0.1 mph. So 17.15 mph is not appropriate way to report speed, because then it should measure speed to the nearest 0.05 mph. Also 17 mph and 20 mph are whole numbers and it does not have to be so accurate.
Answer: B. 17.1 mph

5 0

4 years ago