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3 years ago

PLEASE ASNWER ILL GIVE BRAINLIEST

Mathematics

1 answer:

deff fn [24]3 years ago

3 0

Answer:

8.6

Step-by-step explanation:

a^2+b^2=c^2

7^2+5^2=c^2

49+25=c^2

74=c^2

8.6=c

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What is the length of ST, to the nearest tenth of a yard?

rewona [7]

Let's say that ST is side b
Use the Law of Sines to find side b.
b / sin(B) = a / sin(A)
b / sin(59°) = 7 / sin(79°)
b = (sin(59°) x 7) / sin(79°)
b = 6.112

That is answer B.) 6.1 yards

Hope this helps!

3 0

3 years ago

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The geometric sequence a_ia i a, start subscript, i, end subscript is defined by the formula: a_1 = -\dfrac13a 1 =− 3 1 a,

slava [35]

Answer:

1.014*10^35

Step-by-step explanation:

Given the following geometric sequence

$a_1 = \frac{-1}{3} \\a_i = a_{i-1}*(-3)$

Sum of nth term of the GP is expressed as;

$S_n = \frac{a(1-r^n)}{1-r}$

a = -1/3

n = 75

r = a2/a1

a2 = -3a1

a2 = -3(-1/3)

a2 = 1

r = 1/(-1/3)

r = -3

Substitute the given values in the formula;

$S_n = \frac{-1/3(3^{75} - 1)}{3-1}\\S_n = \frac{3^{75}-1}{-6} \\S_{75} = 1.014*10^{35}$

Hence the sum of the first 75 terms is 1.014*10^35

5 0

3 years ago

A boat is moored at a dock, as shown in the figure.

Mamont248 [21]

Answer: 12.3 ft.

Step-by-step explanation:

In the given picture we can see there is a right triangle with hypotenuse 15 ft.

Using trigonometry in the given right triangle, we have

$\cos35^{\circ}=\frac{\text{Side adjacent to}\ 35^{\circ}}{\text{Hypotenuse}}\\\\\Rightarrow\ 0.81915204428=\frac{A}{15}\\\\\Rightarrow\ A=0.81915204428\times15\\\\\Rightarrow\ A=12.2872806642\approx12.3\ ft.$

Hence, the length of rope A = 12.3 ft.

8 0

3 years ago

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Ann took

kow [346]

How do you calculate the mean (average) ?
Isn't it just

Mean = (total points of all the tests) divided by (number of tests) ?

Let's work with that.

Multiply each side of that formula by (number of tests), and you have

Total points of all the tests = (Mean) times (number of tests).

In this problem, you know the mean, and you know the number of tests,
so you can easily calculate the total points.

3 0

4 years ago

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Evaluate the difference quotient f(x)-f(1)/X-1, where f(x)=X +5/x+1

Arisa [49]

Answer:

C) $\displaystyle\frac{-2}{(x+1)}$

Step-by-step explanation:

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6 0

2 years ago