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2 years ago

The angles of a triangle are x,2x,3x. Find the value of x in degrees

Mathematics

2 answers:

9966 [12]2 years ago

7 0

Answer: x = 30°
Sum of interior angles is 180°, and there are 6x’s. 180 divided by 6 is 30

lyudmila [28]2 years ago

4 0

Answer:

x=30°

Step-by-step explanation:

x +2x+3x=6x

since triangles are 180° in total. 6/180=30

so 30° is your answer.

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Find a1 if Sn = 89,800, r = 3.4, and n = 10. Round to the nearest hundredth if necessary.

xxMikexx [17]

Answer:

$a_1=1.04$

Step-by-step explanation:

We have a geometric sequence with:

$Sn = 89,800$ , $r = 3.4$ , and $n = 10$

Where

Sn is the sum of the sequence

r is the common ratio

$a_1$ is the first term in the sequence

n is the number of terms in the sequence

The formula to calculate the sum of a finite geometric sequence is:

$S_n=\frac{a_1(1-r^n)}{1-r}$

Then:

$89,800=\frac{a_1(1-(3.4)^{10})}{1-3.4}$

Now we solve for $a_1$

$89,800(1-3.4)=a_1(1-(3.4)^{10})$

$a_1=\frac{89,800(1-3.4)}{1-(3.4)^{10}}\\\\a_1=1.04$

4 0

3 years ago

The half-life of radioactive cobalt is 5.27 years. Suppose that a nuclear accident has left the level of cobalt radiation in a c

sweet [91]

Answer:

35 years

Step-by-step explanation:

The proportion p that remains after y years is ...

p = (1/2)^(y/5.27)

In order for 1/100 to remain (the level decays from 100 times to 1 times), we have ...

.01 = .5^(y/5.27)

log(0.01) = y/5.27·log(0.5) . . . take logs

y = 5.27·log(0.01)/log(0.5) ≈ 35.01 ≈ 35 . . . . years

5 0

3 years ago

What is 201 divided by 7?

anzhelika [568]

201÷7= 28.71
The answer is 28.71

5 0

2 years ago

You have 42 ft. of fencing (1 ft. segments) to make a rectangular garden. How much should each side be to maximize your total ar

Verizon [17]

Answer:

$Length=10.5\ ft$

$Width=10.5\ ft$

$Area=110.25\ ft^{2}$

Step-by-step explanation:

Let

x----> the length of the rectangular garden

y---> the width of the rectangular garden

we know that

The perimeter of the rectangle is equal to

$P=2(x+y)$

we have

$P=42\ ft$

$42=2(x+y)$

simplify

$21=(x+y)$

$y=21-x$ ------> equation A

Remember that the area of rectangle is equal to

$A=xy$ ----> equation B

substitute equation A in equation B

$A=x(21-x)$

$A=21x-x^{2}$ ----> this is a vertical parabola open downward

The vertex is a maximum

The y-coordinate of the vertex is the maximum area

The x-coordinate of the vertex is the length side of the rectangle that maximize the area

using a graphing tool

The vertex is the point $(10.5,110.25)$

see the attached figure

$x=10.5\ ft$

Find the value of y

$y=21-10.5=10.5\ ft$

The garden is a square

the area is equal to

$A=(10.5)(10.5)=110.25\ ft^{2}$ ----> is equal to the y-coordinate of the vertex is correct

6 0

3 years ago

Find the mean, median, and mode of the data. Which reflects the best measure of the center? 43, 38, 37, 57, 57, 58, 45

Allushta [10]

ANSWER:

mean:47.8

mode:57

median:45

37, 38, 43, 45, 57, 57, 58

8 0

3 years ago

The angles of a triangle are x,2x,3x. Find the value of x in degrees​

The angles of a triangle are x,2x,3x. Find the value of x in degrees