In a 30° -60° -90° triangle, what is the length of the hypotenuse when the shorter leg is 7 in.?

Answers

Answer 1

Answer:

the length of the hypotenuse is 14 in

Step-by-step explanation:

Focus on the 30 degree angle.  Recall that the sine of an angle is defined as

             opposite side        

sin Ф = ----------------------

                hypotenuse  

and that sin 30° is always 1/2.

                                7 in                               1

Then sin 30° = ------------------- must equal -----      

                         hypotenuse                        2

After cross-multiplying this equation, we have 2(7 in) = (1)(hypotenuse),

so that the length of the hypotenuse is 14 in.


Related Questions

$48 was sold at a loss of 10%. The loss was

Answers

Answer:
it was a loss of $4.8

Step-by-step explanation:
48 * 10/100 = 4.8
so the loss is= 48-4.8
=$43.3
He lost $4.8 because if you use the percentage calculator and you put “10 percent of 48” You will get that answe

what side lengths should be used to model a rectangle with an area of x^2+3x-10 square units? x-5 and x+2 x and x+3 x+3 and x-10

Answers

Answer:

Answer: x-2 and x+5 side lengths should be used to model a rectangle.

Step-by-step explanation:

can u make me brainiest pls

Answer:

None of the 3 available answers models the given rectangle

I believe (x+5)(x-2) would be equal though.

Step-by-step explanation:

(x-5)(x+2) = x²+2x-5x-10

simplify:

x²-3x-10 ≠ x²+3x-10

(x)(x+3) = x²+3x

simplify:

x²-3x ≠ x²+3x-10

(x+3)(x-10) = x²-10x+3x-30

simplify:

x²-7x-30 ≠ x²+3x-10

Help pls !! 17 points

Answers

answer:

the first one and the last one

good luck :)

hopefully, this helps

**please let me know if this was wrong**

have a great day !!

(PLEASE HELP ME ASAP‼️)
What is the measure of

Answers

Answer:

120 is my best guess it make since to me

Step-by-step explanation:

PLEASE HELP ASAP!

:(

Answers

4 units up and reflecting in over the x axis

PLEASE HELP

Once a weck you babysit your neighbor's
toddler after school, usually going to a
local playground. You notice that each
swing on the swing set takes nearly the
same amount of time, about 3.7 seconds
(1). Use the pendulum formula below to
find out how long (ft) the swing is. Round
your answer to the nearest tenths place.

Answers

T/2π = √L/32

3.7 / 2 π = 0.588873289

0.588873289² =  L / 32

0.34677175 = L/32

0.34677175 x 32 = L

L = 11.096696 ft

11.0971

Is -16 rational or irrational

Answers

I think that maybe 16 is rational

Answer:

irrational number

Step-by-step explanation:

All numbers that are not rational are considered irrational. An irrational number can be written as a decimal, but not as a fraction. An irrational number has endless non-repeating digits to the right of the decimal point. The number 22/7 is a irrational number.

Show the work please help me

Answers

X=45 since 90-45=45

Hope this helps
45
It’s half of 90 hehehe

how to expand 2a²b-ab-a​

Answers

Answer:

[tex]a(2ab - b - 1)[/tex]

Step-by-step explanation:

1) Find the Greatest Common Factor (GCF).

[tex]gcf = a[/tex]

2) Factor out the GCF. ( write the GCF first. then, in parentheses, divide each term by the GCF).

[tex]a( \frac{ {2a}^{2}b }{a} + \frac{ - ab}{a} - \frac{a}{a} [/tex]

3) Simplify each term in parentheses.

[tex]a(2ab - b - 1)[/tex]

What’s the missing side length

Answers

The answer is 6cm hop this helps
The answer would be 6cm because the length below is 10 and above is 4, so that would leave 6 cm of blank space

what is -2g< 10 find g

Answers

Answer:

g>-5

Step-by-step explanation:

Factor the algebraic expression
16a + 10

Answers

answer would be 2(8a+5)

Answer

2(8a+5)

Step-by-step explanation:

There are 52 crayons in a box. There are 10 boxes in a carton. Mr. Johnson ordered 5 cartons of crayons for the school. How many crayons did he get?

Answers

Answer:

2,600 crayons

Step-by-step explanation:

10 boxes in a carton

5 cartons

10x5=50

52 crayons in a box

52x10=2,600 crayons

:)

Answer:

2,600

Step-by-step explanation:

If there are 52 crayons in a box, and 10 boxes in each carton, we know that there are 520 crayons in one carton. (52 x 10) If Mr. Johnson ordered 5 cartons,

520 x 5= 2,600. So, he would get 2,600 crayons.

If I helped you, please mark me brainliest!

:)

Find the Surface area

Answers

Answer:

A=l×w×h

Step-by-step explanation:

5×5×6×7

1050. or if we add 4 in the solution part 2400

I think it’s what the other person said

Elsa, Hans, and Charlie have a total of in their wallets. Hans has less than Elsa. Charlie has times what Hans has. How much do they have in their wallets?

Answers

Answer:

Elsa = x = $28

Hans = y = $26

Charlie = z = $56

Step-by-step explanation:

Elsa, Hans, and Charlie have a total of $106 in their wallets. Hans has $6 less than Elsa. Charlie has 2 times what Hans has. How much do they have in their wallets?

Let us represent.

The amount of money

Elsa = x

Hans = y

Charlie = z

Elsa, Hans, and Charlie have a total of $106 in their wallets.

= x + y + z = 106

Hans has $6 less than Elsa.

y = x - 6

Charlie has 2 times what Hans has.

z = 2x

Hence:

x + x - 6 + 2x = 106

4x - 6 = 106

4x = 106 + 6

4x = 112

x = 112/4

x = 28

Elsa = x = $28

Hans = y = $26

Charlie = z = $56

3 tons 400 ounces=ounces

Answers

Answer:1 ton is 32,000 ounces so 3 tons is 96000 ounces + 400 = 96,400 ounces total

Hope this helps :)

964000 ounces totally

Please please help need this ASAP!!! a will mark brainliest to whoever can answer quickly please!

Answers

Answer:

the first one i think is a reflection over the x-axis

for the last on question 9 A, I think  it's a 90-degree rotation counterclockwise

your coordinates for part B on would be -4,7 and -6,13

and then for part B on the last question, i think your coordinates would be -5,4

Step-by-step explanation:

Just by looking at the question x + 6 + 2x = 2x + 6 + 4 so what does x equal and why?


I need help fast!

Answers

Answer:

x = 4

Step-by-step explanation:

x + 6 +2x = 2x + 6 + 4

combine like terms:

3x + 6 = 2x + 6 + 4

add numbers:

3x + 6 = 2x + 10

subtract 6 on both sides:

3x + 6 - 6 = 2x + 10 - 6

3x = 2x + 4

subtract 2x from both sides:

3x - 2x = 2x - 2x + 4

x = 4

short explanation:

if you look at the equation, both sides have 6 and 2x which would cancel each other out. That would leave x = 4

PLEASE IM TIMED
After simplifying, what will x be equivalent to?

a5*a6=ax

Answers

Answer:

x= a10

Step-by-step explanation:

Which expressions are equivalent to (5g+3h+4)\cdot2(5g+3h+4)⋅2left parenthesis, 5, g, plus, 3, h, plus, 4, right parenthesis, dot, 2 ?

Answers

Answer:

C  None of the above

Step-by-step explanation:

Here are the required options

Choose all answers that apply

A  (5g+3h).8  

B  (5g+3h).6  

C  None of the above

Given the expression;

(5g+3h+4).2

Expand

(5g+3h+4).2

= 2(5g+3h+4)

= 2(5g) + 2(3h) + 2(4)

= 10g+6h+8

Checking option A;

(5g+3h).8

Expand

= 8(5g+3h)

= 8(5g) + 8(3h)

= 40g+24h

Checking option B:

(5g+3h).6

Expand

= 6(5g+3h)

Using the distributive law;

= 6(5g) + 6(3h)

= 30g+18h

Since none of the expressions for A and B is equivalent to 10g+6h+8, hence NONE of the options are correct

Answer:

C

Step-by-step explanation:

On khan

NEED HELP IMMEDIATELY ​

Answers

It’s the third option maybe I’m not sure I can’t see the full question

Redbox rents out both video games and movies. They charge $2 for each video game and
$1 for each movie rented. Last week the total number of rentals was 114 and the machine
made a total of $177. How many movies and games were rented? What are the two
equations we can make? One is about the price, the other is the total rentals.

Answers

Answer:

1x + 2y = 177 (price)

x + y= 114 (rentals)

Step-by-step explanation: x= movies y= video games

Answer:

56

Step-by-step explanation:

add and then multiply

3 siblings are weeding a flower bed with an erea of 9 square yards. If they share the job equally, how many square yards of the flower bed will each child need to weed?

Answers

Answer:

2 1/4 square yards

Step-by-step explanation:

We have been given that Matthew and his 3 siblings are weeding a flower bed with an area of 9 square yards.    

All person weeding flower bed: .

To find the area in square yards weeded by each child, we will divide total area of flower bed by 4.

Therefore, each child weeded  square yards of flower bed.

Answer:

I believe it's going to be2 1/4 square feet

Find the value of y, and then find all angles, pls help quick

Answers

Answer:

see explanation

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angle.

146° is an exterior angle of the triangle, then

5y + 3 + 4y + 8 = 146

9y + 11 = 146 ( subtract 11 from both sides )

9y = 135 ( divide both sides by 9 )

y = 15

Then

∠ A = 5y + 3 = 5(15) + 3 = 75 + 3 = 78°

∠ B = 4y + 8 = 4(15) + 8 = 60 + 8 = 68°

∠ C = 180° - (78 + 68)° ← sum of angles in triangle = 180°

∠ C = 180° - 146° = 34°

4 A shelf at the grocery store
contains 500 packages of corn
and flour tortillas. If 22% of
the packages are flour tortillas,
how many packages
are corn tortillas ?

Answers

Answer:

390

Step-by-step explanation:

500*.22=110

500-110=390

390

If the measure B is 40 degrees, what measures can A and C be? Select the three correct answers.

Answers

Answer: 30 and 110,

55 and 85,

70 and 70

Step-by-step explanation:

B, C, E

What is the circumference of a circle with a diameter of 2 feet? Use 3.14 for
TT.

Answers

the correct answer is 6.28

Answer:

D. 6.28

Step-by-step explanation:

C= 2(3.14) R

R= D/2

2/2-1

R=1

C=2(3.14)1 (DON'T REALLY NEED THE !)

6.28

A) chaim used an invalid reason to justify the congruence of a pair of sides or angles.

B) chaim only established some of the necessary conditions for a congruence criterion.

C) chaim established all necessary conditions, but then used an inappropriate congruence criterion.

D) chaim used a criterion that does not guarantee congruence.

Plz help​

Answers

The error Chaim made in his proof is: D. Chaim used a criterion (SSA) that does not guarantee congruence.

What is the Side-side-side Congruence Theorem (SSA)?

The SSA congruence theorem only exist and holds true, only if the congruence non-included angles in both triangles are either obtuse or right angles and have two pairs of congruent sides.

Thus:

The two triangles given have a pair of non-included congruent angles that are less than 90 degrees.

Therefore, the error Chaim made in his proof is: D. Chaim used a criterion (SSA) that does not guarantee congruence.

Learn more about SSA theorem on:

https://brainly.com/question/19258025

Will give brainlest
a = 3, k = 12, z = 6, h = 4
Evaluate the algebraic expression
zh

a.

zh
— =
a

Answers

Answer:

8

Step-by-step explanation:

6*4/3=8

Answer:

[tex] \frac{6(4)}{3} \\ = \frac{24}{3} \\ = 8[/tex]

A boat travelled 336 km downstream with the current. The trip downstream took 12 hours.
a) Come up with an equation to describe this relationship
b) If the current is moving at 2 km/h, how fast is the boat moving from its engine?

Answers

Answer:

We know the distance (d) equation in terms of rate (r) and time (t) as:

d=rt

Step-by-step explanation:

We have given d=336 km and t= 12 hours, so we have: 336 km = 12t <-- this is our equation.

Divide each side by 12 to solve for t:

12t/12=336/12

t= 28 km/ hour

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