Answers
Answer:
[tex]x=\dfrac{\sqrt6 \sqrt 2}{2}[/tex]
Step-by-step explanation:
We need to find the value of x.
Here, Hypotenuse = √6
Perpendicular = x
We know that,
[tex]\sin\theta=\dfrac{P}{H}[/tex]
So,
[tex]\sin(45)=\dfrac{x}{\sqrt6}\\\\x=\sin(45)\times \sqrt{6} \\\\x=\dfrac{\sqrt{6}}{\sqrt{2} }\\\\x=\dfrac{\sqrt{6}}{\sqrt{2} }\times \dfrac{\sqrt2}{\sqrt2}\\\\x=\dfrac{\sqrt6 \times \sqrt 2}{2}\\\\x=\dfrac{\sqrt6 \sqrt 2}{2}[/tex]
So, the value of x is equal to [tex]\dfrac{\sqrt6 \sqrt 2}{2}[/tex].
Related Questions
A store pays$76.40 for a bookcase and marks the price up by 45%.What is the new price?
Answers
Answer:
$110.78
Step-by-step explanation:
$76.40 × 45%
$34.38
$76.40 + $34.38
$110.78
PLSS HELP ASAP!! I WILL GIVE YOU BRAINLYEST!!
Temperature can be measured using either the Fahrenheit scale or the Celsius scale.
The relationship between Fahrenheit and Celsius can be modeled by the equation:
F = 9/5C+32 where F = degrees Fahrenheit and C = degrees Celsius
If the temperature is 84° Fahrenheit, what is the approximate temperature in degrees Celsius?
A. 29
B. 50
C. 94
D. 183
Answers
Yahira collects 3,750 ounces of rainwater in the rain barrel outside her house. If the measurement lines count by 10, how many lines did the water reach? Type your numerical answer in the box below.
Answers
Answer:
375 lines
Step-by-step explanation:
Total ounces of rain water in the barrel = 3,750 ounces
Measurement lines in the barrel = 10 ounces per line
how many lines did the water reach?
Number of lines the water reach = Total water in the barrel / measurements per line
= 3,750/10
= 375 lines
The water in the barrel reach 375 lines
Tori has a paper cup that is shaped like a cone. The radius of the base is 2.5 centimeters and the height is 11 centimeters. What are the shape and dimensions of the vertical cross section through the center of the base?
Answers
Answer:
10.8
Step-by-step explanation:
Don't answers if u can't......
Answers
Answer:
Step-by-step explanation:
pc ma chu so online theye na no mobile so cant reply sorry
what is 9÷10 what is the answer
Answers
Answer:
the answer is 1.20 because i don't know this
Step-by-step explanation:
The perimeter of a square is given as 8x+20 expression
Answers
Answer:
wow that hard even i dont know how to do that
Step-by-step explanation:
sorry
Greater to least 9.5,93/8, 9.25,93/4
Answers
Answer:
23.25 or 93/4, 11.63 or 93/8, 9.5, 9.25
Rounded: 23, 12, 10, 9
Step-by-step explanation:
First, divide the fractions (93/4 & 93/8) to convert them to decimals, then just round or go from the digits 23 > 11 >9.5> 9
Hope this helps
~R3V0
Help please.........
Answers
I need help on this math problem quickly!!
Answers
You have an ice cream cone that is 6 inches tall with a radius of 2 inches. The cone is completely filled with ice cream. There is also a spherical scoop of ice cream on top of the cone with a radius of 3 inches. How much ice cream do you have total in terms of \piπ?
Answers
the volume of the cone is 25.12 the height is 6 what is the area of the base
Answers
Answer:
153.94
Step-by-step explanation:
AB=πr2=π·72≈153.93804
Answer:
The area of the base is 12.56 units squared.
Step-by-step explanation:
The volume formula of a cone is [tex]\pi r^{2} \frac{h}{3}[/tex]. To solve for the base area, just multiply the volume by 3 and divide by the height. 25.12 * [tex]\frac{3}{6}[/tex] = [tex]\frac{25.12}{2}[/tex] = 12.56 units squared.
The diameter of the circle shown below is
11.5 inches.
11.5 inches
What is the radius of the circle?
A. 5.75
B. 11.5
C. 23
D. 34.5
Answers
Answer:
A. 5.75
Step-by-step explanation:
11.5/2 = 5.75
HELP ME PLEASEEEEEE I NEED HELP
Answers
I FOUND THE ANSWER AND IT RIGHT LOL GOOD LUCK HOPE YOU DO NOT PASS
“Find the slope and y-intercept of the linear graph” please help I’ll mark brainliest!!
Answers
Slope: 2/-3
(Im sorry if im wrong)
Write all the factors for 64?
Answers
Answer:
1, 2, 4, 8, 16, 32, 64
Step-by-step explanation:
1, 2, 4, 8, 16, 32, 64
99+72=9(11+□ )
pleas help
Answers
Answer:
9(11+8)=171 8 is your answer
Step-by-step explanation:
99+72=171
For the expression 99 + 72 = 9 (11 + x) the value of x is 8.
What are mathematical operations?Calculate the answer using a math operator is referred to as a mathematical operation.
Basic mathematical operations are addition, multiplication, subtraction and division.
The given expression is,
99 + 72 = 9 (11 + x)
To find the value of x, simplify the expression by using mathematical operations,
171 = 9 (11 + x)
171 / 9 = 11 + x
19 = 11 + x
19 - 11 = x
8 = x
x = 8
The required value of x is 8.
To learn more about Mathematical operations on :
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can someone solve this
Answers
Answer:
16
Step-by-step explanation:
1/2 ^(-1)=2
8×2=16
Hope that helped.
Which expression has a value of -8?
A 14 + 2(−5) − (3)(9)
B (10 ÷ 5) − (2 ∙ 4) − 5 + 8
C −4 − 5 − 1 − 2(4) + 10
D 12 − 2(4) + (5 − 2) − 33
Answers
explanation:
simplify 2 x 4 to 8
-4-5-1-8+10
simplify -4-5 to -9
-9-1-8+10
simplify -9-1 to -10
-10-8+10
simplify -10-8 to -18
-18+10
simplify
-8
y=3. (y + 5) + 3y = 2.
Answers
Answer:
45?????
Step-by-step explanation:
i think
give me a heart for trying
You want to create a scale model for a building that will be 120feet tall and 40 feet wide. If you make the model 6 feet tall, how wide should it be?
Answers
Given:
Length of the building = 120 feet
Width of the building = 40 feet
Length of the model = 6 feet
To find:
Width of the model.
Solution:
The scale model similar to the original figure and the corresponding sides of the similar figures are proportional.
Let x be the width of the building.
[tex]\dfrac{\text{Length of the building}}{\text{Length of the model}}=\dfrac{\text{Width of the building}}{\text{Width of the model}}[/tex]
[tex]\dfrac{120}{6}=\dfrac{40}{x}[/tex]
[tex]20=\dfrac{40}{x}[/tex]
[tex]x=\dfrac{40}{20}[/tex]
[tex]x=2[/tex]
Therefore, the width of the model is 2 feet.
A line with a slope of -2 is written in the form y=mx+b.
what is the value of b If the line passes through the point (5,-7)?
Answers
Answer:
b = 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + b ( m is the slope and b the y- intercept )
Here m = - 2 , then
y = - 2x + b ← is the partial equation
To find b substitute (5, - 7 ) into the partial equation
- 7 = - 10 + b ⇒ b = - 7 + 10 = 3
please help!!!!!!!!!!!!!!!!!! 2+3
Answers
Answer:
5 ...
Step-by-step explanation:
add 3 more to 2
Answer:
It’s 5
Step-by-step explanation:
OMG OMG THE MISS IS ASKING ME THIS AUESTION BEFORE MY OTHER CLASSMATE PLS HELP FAST IM CRYING AND SHAKING I CANT TYPE TOO PLEASEEE
Answers
They are the same
Step-by-step explanation:
Explanation: 3/4 and 6/8 are equal
Please help I will give brianliest
Answers
16x-54=360
-54 -54
16x=306
16x 16x
x=19.13
WX= 6(19.13)-7 =107.78
WYX=10(19.13)-47=144.30
Mrs. Ortiz measured the outside temperature at noon as -2°F. Later that
day, she measured the temperature as -5°F. Write an inequality that
correctly compares -2 and -5. Then explain the meaning of the inequality
for the situation. 6.NS.7, 6.NS.7b
Answers
Answer:
-2°F>-5°F
Step-by-step explanation:
-2°F is greater than -5°F
This also means the first time Mrs. Ortiz measured the outside tempurature it was hotter than the second time she measured it.
You can afford a $800 per month mortgage payment. You've found a 30 year loan at 7% interest.
a) How big of a loan can you afford?
$
b) How much total money will you pay the loan company?
c) How much of that money is interest?
Answers
a) You can afford a loan of approximately $96,927.88.
b) You will pay a total of $288,000 to the loan company.
c) Approximately $191,072.12 of that money is interest.
To determine how big of a loan you can afford, we can use the formula for the monthly mortgage payment:
M = P * (r(1+r)^n) / ((1+r)^n - 1)
Where M is the monthly mortgage payment, P is the loan principal, r is the monthly interest rate (annual interest rate divided by 12), and n is the total number of payments (number of years multiplied by 12).
a) First, we need to calculate the monthly interest rate and the total number of payments:
Monthly interest rate = 7% / 12 = 0.07 / 12 = 0.00583
Total number of payments = 30 years * 12 months/year = 360
Now we can plug in the values into the formula:
800 = P * (0.00583 * (1+0.00583)^360) / ((1+0.00583)^360 - 1)
To solve for P, we can rearrange the equation:
P = 800 * ((1+0.00583)^360 - 1) / (0.00583 * (1+0.00583)^360)
Using a calculator, we find that P is approximately $96,927.88.
b) To calculate the total money paid to the loan company, we multiply the monthly payment by the total number of payments:
Total money paid = $800 * 360 = $288,000
c) To determine how much of that money is interest, we subtract the loan principal from the total money paid:
Interest = Total money paid - Loan principal
Interest = $288,000 - $96,927.88
Interest = $191,072.12
For more such questions on interest visit:
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Test Prep
Keshaun went to Staple Shack to buy a mew office printer. The
cost of the printer is $150. The store has an instant rebate of
15. HOW much will Keystan save by using the rebate?
$15.00
c50250
$135.00
Answers
Answer:
Keshuan will save 135.00 with the rebate price
The Frostburg-Truth bus travels from Frostburg Mall through the city's center to Sojourner Truth Park. The mall is 4 miles east and 5 miles north of the city's center. Truth Park is 4 miles west and 2 miles south of the city's center. How far is it from Truth Park to the mall to the nearest tenth of a mile? A-10.6 B-4.5 C-3 D-6.4
Answers
Answer:
10.9 miles
Step-by-step explanation:
distance of the park to the mall = distance of the mall from the city centre + distance of the park from the city centre
this question would be solved using Pythagoras theorem
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypothenuse
distance of the mall from the city centre = 5² + 4²
25 + 16 = 41
√41 = 6.403124 miles
distance of the park from the city centre = 4² + 2²
16 + 4 = 20
√20 = 4.472136 miles
Total distance = 6.403124 miles + 4.472136 miles = 10.875260
the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero
the hundredth is 7. it is greater than 5. So, 1 is added to the tenth term. this gives 10.9 miles
Please check the attached images for a better understanding of how the question was solved.
Which fraction is equivalent to 3/8
Answers
Answer:
6/16
Step-by-step explanation:
3/8 x 2 = 6/16
