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andriy [413]
2 years ago
5

Solve the equation 5x + 3 = -3x + 99 algebraically. Answer as a reduced fraction only.

Mathematics
1 answer:
abruzzese [7]2 years ago
7 0

Answer:

12

Step-by-step explanation:

add 3x both sides

8x +3 = 99

subtract 3 on both sides

8x = 96

divide by 8

x = 96/8 = 12

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Find the total surface area of the<br> following square pyramid:<br> 9 cm<br> 10 cm<br> SA = [?]cm2
MakcuM [25]

Answer:

280 cm2

Step-by-step explanation:

1)find the area of square

A=LW

=10×10

=100

2) find the area of triangle

A=B×H÷2

=10×9/2

=45

Coz,there are 4 triangle we multiple by 4

=45×4

=180

3)find the total surface area by adding the two

=100+180

=280cm2

4 0
3 years ago
Answer this please, the answer is in the photo with the answer choices
cluponka [151]

Answer:

d

Step-by-step explanation:

\cos^{2} \theta+\sin^{2} \theta=1 \\ \\ \sin^{2} \theta+\frac{1}{16}=1 \\ \\ \sin^{2} \theta=\frac{15}{16} \\ \\ \sin \theta=-\frac{\sqrt{15}}{4} \\ \\ \csc \theta=-\frac{4}{\sqrt{15}}

7 0
2 years ago
PLESE ANSWER!!!<br> What is f(x)=-2(x-5)^2+3 in standard form?
almond37 [142]
-2x+10^5 this should be I guess
7 0
4 years ago
Read 2 more answers
Determine whether the sequence converges or diverges. If it converges, give the limit.
Sindrei [870]

The sequence diverges because the value of the absolute common ratio r is greater than the 1.

<h3>What is convergent of a series?</h3>

A series is convergent if the series of its partial sums approaches a limit; that really is, when the values are added one after the other in the order defined by the numbers, the partial sums getting closer and closer to a certain number.

We have series:

9, 27, 81, 243....

The above series is a geometric progression with common ratio r is 3

\rm r =\dfrac{27}{9}

r = 3

We know the formula for a geometric sequence:

\rm S_n = 9(3)^n

\rm S_n = 3^{n+2}

A geometric series converges only if the absolute value of the common ratio:

r < 1  and

It diverges if the ratio ≥ 1

Here the value of r = 3 which is greater than the 1 so the sequence diverges.

Thus, the sequence diverges because the value of the absolute common ratio r is greater than the 1.

Learn more about the convergent of a series here:

brainly.com/question/15415793

#SPJ1

8 0
2 years ago
A piece of string is 144 inches long. Isabel wants to cut it into 2 pieces so that one piece is five times as long as the other.
Alex Ar [27]

Answer:

  • 24 inches
  • 120 inches

Step-by-step explanation:

The lengths can be found by considering their ratio:

  short : long = 1 : 5

The sum of the ratio units is 1+5 = 6, and the sum of the lengths is 144 inches. That means each "ratio unit" stands for (144 in)/6 = 24 inches of length.

The lengths are ...

  1 : 5 = 24 in : 120 in

The pieces are 24 inches and 120 inches in length.

__

Equivalently, you can let s represent the shorter length. Then 5s is the longer one, and their total is ...

  s +5s = 144

  s = 144/6 = 24

  5s = 5(24) = 120

The lengths are 24 inches and 120 inches.

5 0
2 years ago
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