Find the measures of the numbered angles in the diagram below?

Answer:

x=2√5

Step-by-step explanation:

1st method:

sin(30)=opposite/hypotenuse=√5/x

sin(30)x=√5

x=√5/sin(30)

x=2√5

2nd method:

cos(60)=adjacent/hypotenuse=√5/x

cos(60)x=√5

x=√5/cos(60)

x=2√5

3rd method:

This is a 30-60-90 triangle, so we can multiply the short side, √5, by 2, to get x=2√5

Answer:

The 6ᵗʰ term of this sequence is 82

Step-by-step explanation:

Here,

First Term = a₁ = 13

Common Difference = (d) = 4

Now, For 6ᵗʰ term, n = 16

aₙ = a + (n - 1)d

a₆ = 13 + (6 - 1) × 4

a₆ = 13 + 5 × 4

a₆ = 13 + 20

a₆ = 33

Thus, The 6ᵗʰ term of this sequence is 33

-TheUnknownScientist

Answer:

i think a is correct

Step-by-step explanation:

Answer:

132 m

Step-by-step explanation:

Refer to attachment for figure.

In smaller triangle with angle theta , we have ,

⇒ tanθ = p/b

⇒ tanθ = h/121m

⇒ tanθ = h/121 m

In triangle with angle 90-∅

⇒ tan(90-θ) = p/b

⇒ cot θ = h/144 m

Multiplying these two ,

=> tanθ . cotθ = h/121 m × h/144m

=> 1 = h²/ (121 m × 144m )

=> h² = 121m × 144m

=> h= √ ( 121m × 144m)

=> h = 11m × 12m

=> h = 132 m

Answer: the third one

Step-by-step explanation:

Answer:

D 150 sq ft

Step-by-step explanation:

10x12 = 120

1/2(10)(6) = 30

120+30 = 150

Answer:

x=1+√3

Step-by-step explanation:

Let's solve your equation step-by-step.

6x^2+6=12x+18

Step 1: Subtract 12x+18 from both sides.

6x^2+6−(12x+18)=12x+18−(12x+18)

6x^2−12x−12=0

For this equation: a=6, b=-12, c=-12

6x^2+−12x+−12=0

Step 2: Use quadratic formula with a=6, b=-12, c=-12.

x=−b±√b2−4ac/2a

x=−(−12)±√(−12)2−4(6)(−12)/2(6)

x=12±√432/12

x=1+√3

Answer:

Step-by-step explanation:

NOTE : I am assuming that T means π.

The formula for circumference is 2πr, so 2*r = 2*18 = 36.

Since we are leaving it in terms of π, the answer is 36π

Answer:

-30

Step-by-step explanation:

multiply 5*6 =30

since you are working with only one negative number the answer is also negative

Answer:

her profit is $25

Step-by-step explanation:

Given that

She spends $15 for purchasing fabric so that she make the baby blankets

And, she can make 4 blankets from one piece of fabric

Now she sold the blankets for 10 each

So we need to find out the profit

As we know that

Profit = Selling cost - purchasing cost

= (4 × $10) - $15

= 40 - $$5

= $25

hence, her profit is $25

Answer:

A measure of average is a value that is typical for a set of figures. Finding the average helps you to draw conclusions from data. The main types are mean, median and mode. Data is also often grouped.

Step-by-step explanation:

To find the mean add all the ages together and divide by the total number of children.

If you type all those ages into a calculator it is easy to make an error.

Answer:

9

Step-by-step explanation:

Exterior sides =  180 - 140 = 40

number of sides = 360 / 40 = 9 sides

Step-by-step explanation:

y-intercept: first one is -6

slope:

(-6,0) (0,-3)

-3-0/ 0- -6 = -3/6 = -1/2

3. TBD

4. slope is 3/6 = 1/2

y - 3 = 1/2(x-2)

y = 1/2x +2

5. -4/2 = 2 slope

y-2 = 2(x-3)

y = 2x -4

Answer:

the answer should be 1920

hope this helped and have a good weekend :D

Answer:

the answer should be 98

Step-by-step explanation:

try it

Answer:

a-b³=a³-3a²b+3ab²-b³

hope it is helpful to you

Answer:

x = 10.

Step-by-step explanation:

From the definition of the mean:

(4 + 3 + 3 + x) / 4 = 5

4 + 3 + 3 + x = 20

x + 10 = 20

x = 10.

Answer:

Uhm so I did 4×4=16 than 4×32=128 than 4×42=168

You add 16+128=144 than you divide 144÷168 which gives you a decimaled number which I got 0.8 if you round up its 1.0

Answer:

m+10=53

Step-by-step explanation:

maliks savings=43

Answer:

you graph it on the LINE and find the slope

Answer:

I think it would be B) 47.   Sorry if wrong

Step-by-step explanation:

Answer:

f=gx-4/x-2

f=x^3+2/x

Answer:

467

Step-by-step explanation:

Determine the percentage of those sampled whose favourite season is fall

(18/70) x 100 = 25.7%

the sample is representative of the population of students. So, 25.7% of the students would like fall

number of students at Franklin High School whose favourite season is fall = 25.7% x 1816 = 466.7 students

rounding off to the nearest whole number gives 467

Answer:

467

Step-by-step explanation:

Answer:

Below.

Step-by-step explanation:

One standard form of the equation of a straight line is

y = mx + c where m = the slope and c = the y-intercept.

Comparing this with y = 3x - 6 we see that:

The slope = 3 and the y-intercept is -6.

The error was in the y-intercept.

#2.

The error is in stating the intercepts

x - intercept is (8, 0) and y-intercept = (0, 2), (NOT (8, 2)).

#3.

The error is in stating the intercepts

x - intercept is (5, 0 and y-intercept = (0, 2).

Answer:

Step-by-step explanation:

Its 99

I just took it

Answer:

Step-by-step explanation:

Im not fully sure about what your asking

If you are attempting to search the answer use ^ than parentheses, 25^(2/3)

If you want to know what 25 to the power of 2/3 is, it is 8.549

Answer to comment:

for fractions the numerator will become the square amount and the denominator will become the sqrt so

25^(2/3)= 25^2=625 = cube root of 625

(i dont know how to get the root symbol in on this so image cube root is just 3 then the root symbol)

Answer:

12.57 ft

Step-by-step explanation:

Since triangle ∆EFH is a right angled triangle,side |EF| can be determined by

Since Line |EF| is a straight line that passes through the centre of the circle and touch two sides of the circumference,

line |EF| is the diameter of the circle

Answer:

576 miles

Step-by-step explanation:

Answer:

else will drive 567 miles in 8h

Step-by-step explanation:

take 864÷ 12 to get how many hours she drives in one hour

you get 72

then you take 864÷2 to get how many miles she'll drive in 6h

you get 432

then you take 432 and add 144 or 72 + 72

and you get 567 miles in 8h

hope this helped!!

Answer:

If its a linear then the equation is 4x + 8

Step-by-step explanation:

Answer:

yellow

Step-by-step explanation: