in a 30-60-90 triangle, the length of the side opposite the 30 degree angle is 8. Find the length of the side opposite the 60 degree angle.

Answers

Answer 1
. The missing angle must, therefore, be 60 degrees, which makes this a 30-60-90 triangle. And because this is a 30-60-90 triangle, and we were told that the shortest side is 8, the hypotenuse must be 16 and the missing side must be 8 * √ 3 , or 8 √ 3 . Our final answer is 8√3.

Related Questions

10) Planteen la operación y resuelvan: El producto entre el cuadrado de -7 y la raíz cubica de 1728, todo eso sumado 14.

Answers

Answer:

(-7)^2*∛(1728) + 14 = 49*12 + 14 = 588 + 14 = 602

Step-by-step explanation:

Primero definamos las operaciones usadas:

El cuadrado de un número N, se escribe como N^2

La raíz cubica de un número M, se escribe como ∛(M)

El producto entre dos números, A y B, se escribe como A*B

Ahora queremos plantear la operación:

"El producto entre el cuadrado de -7 y la raíz cubica de 1728, todo eso sumado 14."

Lo podemos separar en partes:

"El producto entre el cuadrado de -7 y la raíz cubica de 1728,..."

esto se escribe como:

(-7)^2*∛(1728)

Ahora, la operacion completa es:

El producto entre el cuadrado de -7 y la raíz cubica de 1728, todo eso sumado 14.

Esto se escribe como:

(-7)^2*∛(1728) + 14

Ahora debemos resolver esta operación.

sabemos que:

(-7)^2 = 49

∛(1728) = 12

Reemplazando esos dos en nuestra operación, obtenemos:

(-7)^2*∛(1728) + 14 = 49*12 + 14 = 588 + 14 = 602

PLEASE ANSWER QUICKLY!!
Martha has a 4-digit combination lock on her briefcase and has forgotten the combination. Each of the four digits on her lock can read any digit from 0 through 9. If she
knows that the first digit is 6, and the second digit is prime, how many numbers must Martha try before the lock is sure to open? (Note: Neither "0" nor "1" are prime
numbers!)

Answers

Answer:

224

Step-by-step explanation:

1st Digit - 9 (1 way)

2nd Digit - 2, 3, 5, 7 (4 ways)

3rd Digit - (10-2) ways

4th Digit - (10-3) ways

Therefore, the number of ways are 1 × 4 × 8 × 7

= 224 ways

The resulting matrix is a:
1 by 2 3by 1 2 by 1

Answers

Answer:

3 by 1

Step-by-step explanation:

3 row and 1 column

Answer:

2 by 1.

Step-by-step explanation:

Hi.  I just took this quiz, chose 3 by 1 (per the answer above) and got it wrong.  So, my score was an 83.3%.  To save you from earning the same grade, this answer was the correct one.

Hope it helps.

What's the circumference of a
circle with a radius of 6 inches?
Use 3.14 for pi

Answers

Answer:

37.68

Step-by-step explanation:

circumference= 2πr

= 2 x 3.14 x 6

= 12 x 3.14

= 37.68 approximately 37.7

Help , what is the measure of p

Answers

Answer:

Step-by-step explanation:

let angle p be x

x+27=56 degree (sum of two opposite interior angle is equal to the exterior angle formed)

x=56-27

x=29 degree

therefore p is 29 degree.

n^8 x n x n^5
Simplify the expression. Write your answer as a power.

Answers

Answer:

 [tex]n^{14}[/tex]

Step-by-step explanation:

[tex]n^8 \times n \times n^5 = n^{8 + 1 +5 } = n^{14}[/tex]

Help please, I really need help please

Answers

Answer:

-70

Step-by-step explanation:

As shown in the picture, you can use the formula:

1st term + common difference(desired term -1)

From what is given, we can see that the first term is -2. We are looking for the 18th term, so 18 is our desired term. Lastly, to find the common difference, we can subtract a the term before a certain term from it:

common difference = -6 - (-2) = -4

Now, we can substitute what we have:

-2 + (-4)(18 - 1)

-2 - 4(17)

-2 - 68

-70

there are 8 apples and 11 oranges in a bag. what is the ratio of the apples to oranges?

Answers

Answer:

8:11

Step-by-step explanation:

For every 8 apples, there are 11 oranges.

Answer:

8 : 11 = 8 : 11

Step-by-step explanation:

Divide both terms by the GCF, 1:

8 ÷ 1 = 8

11 ÷ 1 = 11

The ratio 8 : 11 cannot be reduced further by dividing both terms by the GCF = 1 :

This ratio is already in lowest terms.

Therefore:

8 : 11 = 8 : 11

These are the means and standard deviations for samples of prices from two different brands of shoes. Brand A Brand B Mean: $50 Mean: $40 Standard deviation: $5 Standard deviation: $8

Select the two true statements.

A. Brand A has a higher average price than brand B.

B. Brand A has a lower average price than brand B.

C. Brand A's prices are less spread out than brand B's prices.

D Brand A's prices are more enread out than brad pie​

Answers

Answer:

A and C

Step-by-step explanation:

just took the test

Express the area of the entire rectangle. Your answer should be a polynomial in standard form. x+7(top), x+3(side)

Answers

Answer:

x^2+12x+35

Step-by-step explanation:

Answer:

x^2+10x+21 is the correct answer

Step-by-step explanation:

yw :)

Tylers mom had a coupon for four dollars each of the train tickets.If they bought If they bought five train tickets and paid a total of $145, what was the original cost of each ticket?

Answers

Answer:

The original cost of each ticket will be = $33

Step-by-step explanation:

Number of coupons Tylers mom had = 5

The value of each coupon is = $4

Total value of coupons = 5 x 4 = $20

In order to find the original cost of the ticket, we just have to add the value of coupons to the amount paid for tickets.

The original cost of tickets = $145 + $20

The original cost of tickets = $165

Thus, the original cost of each ticket will be = 165 / 5

Thus, the original cost of each ticket will be = $33

PLS HELP. I NEED TO PASS THIS

Answers

The picture is very blurry I can’t see it :(

Short answer please help

Answers

Answer:

Function 2 has the steeper slope.

Step-by-step explanation:

Find the value or values of X in the quadratic equation x2=6x-9.

Answers

Answer:

x = 3

Step-by-step explanation:

I'm assuming x2 = x^2

x^2=6x−9

x^2−6x=−9

Wrist bands are $1.25 each. Write a direct proportion equation to show the total cost (c) for any number of bands (b)

Answers

Answer:

[tex]c=1.25b[/tex]

Step-by-step explanation:

If we know that each band costs $1.25, then we know that 2 bands are $2.50, 3 bands are $3.75 etc. The equation above simply states that each band is $1.25, so $1.25 multiplied by the number of bands gives us a total cost. This follows the formula [tex]y=kx[/tex], for a direct proportion equation. Hope this helped :)

Help
Find the circumference of this circle
using 3 for 7.
C ~ [?]

Answers

Answer:

C = 84

Step-by-step explanation:

14 × 2 = 28

28 × 3 = 84

#CarryOnLearning

[tex]\large\mathfrak{{\pmb{\underline{\blue{Given}}{\blue{:}}}}}[/tex]

Radius of the circle "[tex]r[/tex]" = [tex]14[/tex]

Value of [tex]π[/tex] = [tex]3[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\pink{To\:find}}{\pink{:}}}}}[/tex]

The circumference "[tex]C[/tex]" of the circle.

[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {C≈ 84}}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

We know that,

[tex]\sf\green{Circumference\:of\:a\:circle \:=\:2πr }[/tex]

[tex] = 2 \times 3 \times 14[/tex]

[tex] = 6 \times 14 [/tex]

[tex] = 84[/tex]

Therefore, the circumference of the circle is [tex]\boxed{ 84 }[/tex].

[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{❦}}}}}[/tex]

Find area AND perimeter of the shape

Answers

Step-by-step explanation:

for the perimeter...

18-6=12

that's to get the slant side

perimeter=10+6+12+12+20

=60

for the area I'm not sure how to solve it sorry!!

Answer:

10 x 6 = 60

20 + 10 = 30, 30 x 12 x 1/2 = 180

180 + 60 = 240 cm2 is your area

6 + 6 = 12, 12 + 10 = 22, 22 + 20 = 42

Now lets find hypotenuse:

10 - 20 = 10, 10 divided by 2 = 5

5^2 + 12^2

25 + 144 = 169

Square root of 169 is 13

Add perimeters:

42 + 13 = 55 cm is your perimeter.

Find the opposite of the integer -5.

Answers

Answer:

5

Step-by-step explanation:

The opposite of -5 is 5. You find this opposite by switching the negative sign to a positive sign.

Answer:

5

Step-by-step explanation:

Just take away the sign or add the sign from the number to get a integer. There you go it's just that easy️‍ enjoy good day

I Need Help With this FLVS problem can anyone help me and my DBA is tomorrow

Answers

Answer:

B

Step-by-step explanation:

Which is the smallest number which leaves remainder 8 and 12 when divided by 28 and 32 respectively?

Answers

Answer:

Which is the smallest number which leaves remainder 8 and 12 when divided by 28 and 32 respectively? 204.

Step-by-step explanation:

Have a great summer.

Answer:

204 is the smallest number.

Step-by-step explanation:

28 - 8 = 20 and 32 - 12 = 20

The required number will be 20 less than the LCM of 28 and 32.

Prime factorization of 28,

→ 2 × 2 × 7

Prime factorization of 32,

→ 2 × 2 × 2 × 2 × 2

LCM(28, 32) = 2 x 2 x 2 x 2 x 2 x 7 = 224

Hence, the required smallest number,

→ 224 - 20 = 204

ab + c = d solve for a​

Answers

[tex]a = \frac{d - c}{b} [/tex]

Answer:

a = (d - c)/b

Step-by-step explanation:

ab + c = d

ab = d - c

a = (d - c)/b

Hope that helped! All you need to do is simplify.

27% of the bowling balls were too heavy for Fred. If Fred had 511 to choose from, how many bowling balls were there in total?

Answers

Answer:

Step-by-step explanation:

.

Complete the inequality for this graph.
y ≤ [?]

Answers

y< 3

3 is the correct answer.

Answer:

the answer is 3! :)

hope it helped

have a nice day

Can someone help me please

Answers

Answer:

[tex]\$213.33[/tex]

Step-by-step explanation:

Your initial balance is $150.83. After you write a check of $12.50, your balance will be 150.83-12.50=$138.33. Now, you receive 75 dollars and deposit it to your bank, so your balance will be 75 dollars greater than it was:

[tex]138.33+75=\boxed{\$213.33}[/tex]

The correct answer is $213.33

Find x this is geometry btw

Answers

Answer:

B

Step-by-step explanation:

Answer:

18 is the correct answer

If 15 mL of medicine must be mixed with 180 mL of water, how many mL of medicine must be mixed in 230 mL of water?

Answers

Answer:

19 1/6

Step-by-step explanation:

Because 15 divided by 180 is 0.08333333333.

times that by 230 = 19.166666666 or 19 1/6

PLEASE HELP!

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). The vertex of a parabola is (-2, -20), and its y-intercept is (0, -12).
The equation of the parabola is y = x2 + x + .

Answers

Step-by-step explanation:

-12 = a(0+2)²-20

-12=4a -20

4a = 20-12

4a=8

a=2

y = 2x²+ 8x -12

=> y = 2 x² + 8 x + -12

2 , 8 , -12

the data from two random samples with 500 students were asked about their favorite Olympic sport is shown what percentage of students choose snowboarding as their favorite sport
A.10.5%
B.51%
C.25%
D.21%

Answers

Answer:

d: 21%

Step-by-step explanation:

1. add 180+135+105+80=500 total

2. then find the percent of 105 from 500 (Determine the total or whole amount.

Divide the number to be expressed as a percent by the total. In most cases, you'll divide the smaller number by the larger number.

Multiple the resulting value by 100.)

you get an answer of 21%

21% of students chose snowboarding as their favorite sport.

A student surveys households asking whether there are children in the household and whether there are pets in the household. The student discovers that the ratio of the number of households with children to those with no children is 3:4. Complete the two-way table with the results of the survey.

Pets No Pets
Children 16 ?
No Children 24 12

Answers

poop water is definitely right

what’s the answer and how do u get it

Answers

9514 1404 393

Answer:

  (d)  domain: 0 ≤ x ≤ 4; range: -1 ≤ y ≤ 7

Step-by-step explanation:

The graph of the inverse of a function is a reflection of the function's graph across the line y=x. The table values are obtained by swapping the x- and y-labels. This is shown in the attachment.

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