and side q has a
In the 30-60-90 triangle below, side s has a length of
length of
30°
g
10
90°
60°
S
A. 5.10.15
B. 10.13.20
C. 105: 105

And Side Q Has AIn The 30-60-90 Triangle Below, Side S Has A Length Oflength Of30g109060SA. 5.10.15B.

Answers

Answer 1

Answer:

E

Step-by-step explanation:

Using the cosine and sine ratios in the right triangle and the exact values

cos60° = [tex]\frac{1}{2}[/tex] , sin60° = [tex]\frac{\sqrt{3} }{2}[/tex] , then

cos60° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{s}{10}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2s = 10 ( divide both sides by 2 )

s = 5

------------------------------

sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{q}{10}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )

2q = 10[tex]\sqrt{3}[/tex] ( divide both sides by 2 )

q = 5[tex]\sqrt{3}[/tex]


Related Questions

You and your classmate went to get lunch and your total bill (before taxes) was $48.50. You liked the food and want to leave a tip of $20%. What is the tip?

Answers

Answer:

9 dollars 70 cents

Step-by-step explanation:

20% of 48.50

I need help in algebra

Answers

Answer: 8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

How to solve

× + 5 = 13

subtract from both sides of the equation.

× + 5 - 5 = 13 - 5

13 - 5= 8

please give me brainliest and a thanks.

Will give brainiest, need help

Answers

Answer:

f(6) = 53

Step-by-step explanation:

f(x) = 10x - 7

We want to find f(6)

To do so simply substitute 6 for x in the equation

Equation: 10x - 7

x = 6

f(6) = 10(6) - 7

multiply 10 and 6

f(6) = 60 - 7

subtract

f(6) = 53

Answer:

[tex]f(x)=53[/tex]

Step-by-step explanation:

For [tex]f(x)=10x-7\\[/tex] substitute x for 6

[tex]10\cdot 6=60\\60-7=53[/tex]

[tex]f(6)=53[/tex]

if you wake up at 7:00 a.m. and it takes you 1 hour and 30 minutes to get ready and walk to school at what time will you get to school

Answers

To solve this question we need to add 1hr 30mins onto 7:00 am:
1 hour later would be 8:00 am
30 mins later would be 8:30 am

You will get to school at 8:30 am
Hope this helps!
The answer is 8:30
If it’s 7:00 and an hour goes by is going to be 8:00 and when you add 30 minutes to 8:00 it would be 8:30

An angle that measures exactly 180° is known as a/an
angle.

Answers

Answer:

supplementary angle

Step-by-step explanation:

please Mark my answer in brainlist

The conjugate of (2+i)²/3+i, in the form of a+ib, is
13/2 + i(25/2)
13/10 + i(-15/2)
13/10 +(-9/10)
13/10+(9/10)​

Answers

Given that

(2+i)²/(3+i)

On multiplying both numerator and the denominator with (3-i) then

⇛ [(2+i)²/(3+i)]×[(3-i)/(3-i)]

⇛ [(2+i)²(3-i)]/[(3+i)(3-i)]

⇛ [(2+i)²(3-i)]/[(3²-i²)

⇛ [(2+i)²(3-i)]/(9-i²)

⇛ [(2+i)²(3-i)]/[9-(-1)]

Since ,i² = -1

⇛ [(2+i)²(3-i)]/(9+1)

⇛ [(2+i)²(3-i)]/10

⇛ [{2²+i²+2(2)(i)}(3-i)]/10

⇛ (4+i²+4i)(3-i)/10

⇛ (4-1+4i)(3-i)/10

⇛ (3+4i)(3-i)/10

⇛ (9-3i+12i-4i²)/10

⇛ (9+9i-4(-1))/10

Since, i² = -1

⇛(9+9i+4)/10

⇛(13+9i)/10

⇛ (13/10)+ i (9/10)

We know that

The conjugate of a+ib is a-ib

So,

The conjugate of (13/10)+ i (9/10) is

(13/10)-i(9/10) ⇛ (13/10)+i (-9/10)

Answer:-The conjugate of (13/10)+ i (9/10) is (13/10)+i (-9/10)

Additional comment:

The conjugate of a+ib is a-ib and i = -1(a+b)² = a²+2ab+b² • (a+b)(a-b)=a²-b² •(a-b)²=a²-2ab+b².

Please solve this, i will mark brainliest

Answers

Answer:

[tex]k=-2[/tex]

Step-by-step explanation:

Let's write the left hand side as a negative power, and 9 as a power of 3:

[tex]3^-^k=3^2[/tex] At this point, for the equality to still stand, the exponents have to be equal:

[tex]-k = 2 \rightarrow k=-2[/tex]

(1/3)k = 9
3 -k = 3 2
-k=2
K=-2

HELP ASAP 100 POINTS RIGHT ANSWER GETS BRAINLSIT

The sum of 3.25 and twice a number is −7.

What is the number?

Enter your answer as a decimal in the box.
n =

Answers

Answer:

3.25+n= -7

(-7)-3.25=(-10.25)

n=(-10.25)

Answer:

-5.125

Step-by-step explanation:

-5.125 x 2 = -10.35

-10.25 + 3.25 = -7

pls help, algebra 1

Answers

Answer:

20, 35, 50

Step-by-step explanation:

Two step equation, I don’t know how to do the problem step by step. 3x+9=5. I know that the answer is -1 1/3 but I don’t know how

Answers

Answer:

Below

Step-by-step explanation:

1. 3x+9=5

2.  3x+9-9=5-9

3. 3x=-4

5. 3x/3=-4/3

6. -4/3

7. -1 1/3

Answer:

The answer is -4/3 or - 1 1/3

Step-by-step explanation:

3x+9= 5

    -9    -9

3x = -4

 /3    /3

Y= -4/3 or [tex]-1\frac{1}{3}[/tex]

Step 1: Add subtract 9 to both sides because you want to cancel out the 9 so you do the opposite of what is say's. For example, if it says 3x-9 add 9 or 3x+9 subtract 9 from both sides.

Step 2: Add subtract 9 to 5 which would be -4. So you should have 3x= -4 now

Step 3: Since you're "multiplying" 3 to x you're going to divide 3 to get Y by itself. So 3/3 cancels out and now you're left with y

Step 4: Divide 3 from -4 and you get -4/3

Let me know if you have any questions and I hope this helps :)

Find the perimeter. Simplify your answer.

Answers

Answer:

30y+14

Step-by-step explanation:

add the values of all the sides together: (5y+4) + (5y+4) + (10y+3) + (10y+3) = (5y + 5y + 10y + 10y) + (4 + 4 + 3 + 3)= 30y + 14

A floor is covered by 800 tiles measuring 10cm^2. How many square tiles of side 8cm would be needed to cover the same floor

Answers

Answer:

125 square tiles

Step-by-step explanation:

(800*10)/8^2=8000/64=125

i'll mark brainiest if right answer

Answers

Answer: x=2  y=18

Step-by-step explanation

Rewrite the following equation in slope-intercept form. 20x − 11y = –17

Answers

Answer:

y = 20/11x +17/11

Step-by-step explanation:

Slope-intercept for: y=mx+b

20x -11y = -17

-11y = -20x -17           Subtract 20x on both sides

y = 20/11x + 17/11        Divide both sides by -11

solve for x in the triangle!!!

Answers

Answer:

13

Step-by-step explanation:

Combine all like terms:

14x-2

Since there are 180 degrees in a triangle, all three angles are going to equal 180.

14x-2=180

Add 2

14x=182

Divide by 14

x=13

PLSSSS WILL MARK BRAINLIEST IF CORRECT

Cody’s favorite snacks are pecans and almonds. At the Nut Haus, pecans sell for $2.00 a pound and almonds sell for $4.50 a pound. Cody wants to buy a mixture of nuts that weighs 6 pounds. He has $15.25 to spend on pecans and almonds.


Part A

Identify the two variables in the problem situation.


Part B

Write a system of two linear equations in two variables that could be used to determine the number of pounds of pecans and almonds Cody could purchase at the Nut Haus.

Answers

Answer:

Part A

The two variables are the amount of pounds that we dont know yet for the nuts and the almonds so we would have to put x for the amount of pounds for pecans and y for the amount of pound for nuts

Part B

2x + 4.50y = 15.25

Step-by-step explanation:

Step-by-step explanation:

x = pounds of pecans bought

y = pounds of almonds bought

x + y = 6

x×2 + y×4.5 = 15.25

x = -y + 6

(-y+6)×2 + y×4.5 = 15.25

-2y + 12 + 4.5y = 15.25

2.5y = 3.25

y = 3.25 / 2.5 = 3 1/4 / 2 1/2 = 13/4 / 5/2 = 13×2 / 4×5 =

= 26/20 = 13/10 = 1.3 pounds

x = -y + 6 = -1.3 + 6 = 4.7 pounds

Cody could buy 4.7 pounds of pecans and 1.3 pounds of almonds.

A small bowl of candy holds 75% as much as a large bowl of candy.
If the small holds 36 candy bars how much does the large hold?

Answers

Answer:

_____

Step-by-step explanation:

Im pretty sure it would be 45 ____

Whoever answers first gets brainliest, 5 stars, and a thanks! Pls help asap!

Answers

Answer:

a. In the first step: Nick is supposed to subtract 1 1/2 instead of adding it

b. He should subtract 1 1/2 instead

c. 3 3/22

Step-by-step explanation:

Work for c.

4 7/11 - 1 1/2

4 14/22 - 1 11/22

3 3/22

-Chetan K

Answer:

3 3/22

Step-by-step explanation:

a) he subtracted 5 from a mixed fraction without converting it first

and for 1 1/2 - sign should be there

b) first convert mixed fraction and add the terms in the parentheses

c) 9 7/11 - (5 + 1 1/2)

= (9*11 + 7) / 11  - ( 5 + (1*2 + 1)/2 )

= 106/11  - (5 + 3/2)

= 106/11 - (5*2 + 3)/2

= 106/11 - 13/2

= lcm of 2 and 11 is 22

= (106*2 - 13*11) / 22

= (212 - 143) / 22

= 69/22

= 66 + 3 / 22

= 3 3/22

State if the two triangles are congruent. If they are, state how you know.
See picture for full problem. Please and thank you!

Answers

Answer:

Yes they are.

They are congruent because they have two equal angles and one equal side

18= 1.57(multiply sign) X^2.2

please give me steps!!!

Answers

Answer: x = 3.030631 approximately

Explanation:

If you want to solve for x, then you could follow these steps:

[tex]18 = 1.57*x^{2.2}\\\\18/1.57 = x^{2.2}\\\\11.464968 \approx x^{2.2}\\\\x^{2.2} \approx 11.464968\\\\x \approx (11.464968)^{\frac{1}{2.2}}\\\\x \approx 3.030631\\\\[/tex]

In the second to last step, we have the value 11.464968 raised to the exponent of 1/(2.2) which is done to undo the exponent of 2.2 in the previous line.  The rule used is [tex]a^b = c \to a = c^{1/b}[/tex]

can someone please help me with this

Answers

Answer:

ABC = 113°

Step-by-step explanation:

If ABD is 70° and DBC is 43°

ABC is 70°+43° = 113°

If x= 4, find 6x- x^2.

Answers

Answer: 8

Step-by-step explanation: (6)(4)-4^2                                                                 24−4^2                                                                                                                       24−16                                                                                                                         8          

If I need 2 teaspoons of oil for every 4 cups of flour to make 1 batch of
chocolate chip cookies, what would be the ratio I need to make 2 batches
of cookies. How many teaspoons of oil to how many cups of flour?

Answers

Answer:

2:4 or simplify and get 1:2

Step-by-step explanation:

2 tsp. of oil every 4 cups of flour.

0.8 = 8/10

True
False

Answers

Answer:

true

Step-by-step explanation:

0.8 is out of 1.0 so 0.8 + 0.2 = 1.0 and same for 8/10

Answer: True

Step-by-step explanation:

In order to see if the two given numbers are equal to each other, you need to turn one of them into either a fraction or a decimal so both of them are the same and you are able to compare.

In order to turn [tex]\frac{8}{10}[/tex] into a decimal, you divide 10 by 8.

8 ÷ 10 = 0.8

Both of the decimals are the same therefore the numbers are equal to each other and the statement is true.

A salesman sells a car for 960,000.If he receives a commission of 15%,how much will be his commission?​

Answers

Answer:

144 000

Step-by-step explanation:

960 000 × 0.15

= 144 000

Answer:

144,000

Step-by-step explanation:

[tex] \frac{15}{100} \times 960000 \\ 15 \times 9600 \\ 144000[/tex]

HELP HELP HELPP PLEASEDEEEE

what is 16% x 19
SHOW WORK PLEASEEEEEEE PLS PLS PLSSSSSSSS

Answers

Answer:

3.04

Step-by-step explanation:

16% is 0.16. Multiply 0.16 * 19 to get 3.04

Answer:

this last answer will come 304

I Will BE GIVING A BRAINLIST AND A FOLLOW BACK ONLY FOR THE ACCURATE ANSWERS PLEASE TAKE A LOOK AT MY WORKSHEET PLEASE ANSWER QUESTIONS 1-5 AND PROVIDE EXPLANATION .

Answers

Answer:

1. Recursive formula: b(n-1)+2

2. Explicit formula: −2n+5

3. -20

4. 2, 11, 20, 29, 38, 47, 56, 65, 74, 83, 92, 101, 110, 119, 128

Step-by-step explanation:


Let log p/n=8 and log m/n=5
What is the relationship between Pand M?
O A. P = 3M
O B. P = 1,000M
C. P= 100M
O D. P=0.001M

Answers

Answer:

B: p=1,000m

Step-by-step explanation:

-2(y+2)+6y Need help ​

Answers

Answer:

4y-4 Hope this helps! :)

Step-by-step explanation:

-4 -12
-2 -6
0 0
2 6
what is the slope?
what is the y-intercept?
proportional or not proportional?​

Answers

Answer:

Slope(m)=3

Y-intercept= 0

y = 3x +0

Proportional

Step-by-step explanation:

m = -6--12/-2--4

m=6/2

m=3

-12 = 3(-4) + b

-12 = -12 + b

0=b

Answer:

slope, m = 3

y-intercept, b = 0

Proportional

Step-by-step explanation:

If we assume this is a straight line, we can  calculate the slope between two  of the given points.  I'll pick (-2,-6) and 2,6).

Slope is the Rise (the change in y) over the Run (the corresponding change in x).

Rise for these two points:  6 - (-6) = 12

Run for the points is:  2-(-2) = 4

Rise/Run (Slope) = 12/3 = 4

The line becomes y=3x+b

b is the y-intercept.  We can either solve for b by entering one of the points, but the y-intercept is the value of y when x=0.  Behold:  one of the points is (0,0), so we already have b.  It is 0.

y=3x+0

y=3x is the equation.

slope, m = 3

y-intercept, b = 0

A non-proportional graph is a straight line that does not go through the origin.  A proportional graph is one that does, so this is a proportional graph.

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