Answers
Answer:
[tex] \huge \: x = 18 \: ft[/tex]Step-by-step explanation:
to understand thisyou need to know abouttrigonometryequationPEMDASTIPS AND FORMULAS:[tex] \sin( \theta) = \frac{opp}{hypo} [/tex][tex] \sin( {30}^{o} ) = \frac{1}{2} [/tex]given:opp:9[tex] \theta = {30}^{o} [/tex]let's solve:according to the question
[tex] \sin( {30}^{o} ) = \frac{9}{x} [/tex]
[tex] \frac{1}{2} = \frac{9}{x} [/tex]
[tex] \huge \therefore \: x = 18[/tex]
Related Questions
solve similar triangles (advanced) solve for x
Answers
Step-by-step explanation:
this is the answer of given question
A beachfront hotel is planning for its summer busy season. It wishes to estimate with 95% confidence the average number of nights each guest will stay in a single visit. Using a sample of guests who stayed last year, the average number of nights per guest is calculated at 5 nights. The standard deviation of the sample is 1.5 nights. The size of the sample used is 120 guests and the beachfront hotel desires a precision of plus or minus 0.5 nights.
Required:
a. What is the standard error of the mean in the lakefront resort example?
b. Within what range below can the resort expect with 95% confidence for the true population mean to fall?
Answers
Answer:
0.1369
(4.732, 5.268)
Step-by-step explanation:
Given that:
Mean, m = 5
Standard deviation, s = 1.5
Error margin, E = 0.5
Sample size, n = 120
Zcritical at 95% = 1.96
Standard Error of the mean (S. E) :
S. E = s /sqrt(n)
S. E = 1.5 / sqrt(120
S.E = 1.5 / 10.954451
S. E = 0.1369306
S. E = 0.1369
Confidence interval (C. I)
Mean ± (Zcritical * S.E)
5 ± (1.96 * 0.1369)
Lower boundary = 5 - 0.268324 = 4.731676
Upper boundary = 5 + 0.268324 = 5.268324
(4.732, 5.268)
the sides of a triangle can be represented by 2x, 4x-7, 16+x. If the perimeter is 65, whats the length of the shortest side of the triangle?
Answers
A grid has lines at 90-degreree angles. There are 12 lines in one direction and 9 lines in the other direction. Lines that are parallel are 11 inches apart. What is the least number of 12in by 12in floor tiles needed to cover all of the line intersections of the grid? The tiles do not have too touch each other.
Answers
Answer:
70
Step-by-step explanation:
Given that:
There are twelve (12) lines in a direction and another nine 9 lines in another direction.
If we draw the above illustration out, we will realize that we will have 11 squares by 8 squares.
i.e these 11 squares are 11 inches apart.
Hence, the length of their grid = 11 inches × 11 inches = 121 inches²
Thus, for 12 in by 12 in tiles; we will have:
= [tex]\dfrac {121}{12}[/tex]
= [tex]10 \dfrac{1}{12}[/tex]
This implies that there are 10 files with just [tex]\dfrac{1}{2}[/tex] inch gap in length.
Similarly, for 8 squares and 11 inches apart;
The width = 8 inches × 11 inches = 88 inches²
Thus; the 12 in tiles needed = [tex]\dfrac{88}{12}[/tex]
= [tex]7 \dfrac{1}{3}[/tex]
It signifies that there are 7 tiles with [tex]\dfrac{1}{3}[/tex] inch gap in width.
Thus, the least number of tiles required = 10 × 7 = 70
What is the area, in square feet, of the rectangle shown below?
Answers
Answer:
D
Step-by-step explanation:
= 34/5 × 19/4
= 646/20
= [tex]32 \frac{6}{20} [/tex]
The area of the given rectangle is [tex]32\frac{6}{20}[/tex] square feet
For better understanding check the calcualtion here .
Calcualtion :
Area of the rectangle is the space inside the given triangle .
Formula : Formula to find the area of the triangle is length times width
Length and width are given as mixed fractions
Lets convert mixed fractions into improper fractions
[tex]Length =6\frac{4}{5}=\frac{6 \cdot 5+4}{5}=\frac{34}{5} \\Width=4\frac{3}{4}=\frac{4 \cdot 4+3}{4}=\frac{19}{4}[/tex]
Now we find out the area
[tex]Area= length \cdot width \\Area=\frac{34}{5} \cdot \frac{19}{4} \\Area= \frac{646}{20}[/tex]
Now we divide the number and find out the quotient and remainder
[tex]Area= \frac{646}{4} \\Quotient = 32 \\remainder =6\\Area= 32\frac{6}{20}[/tex]
The area of the given rectangle is [tex]32\frac{6}{20}[/tex] square feet
Learn more information about 'Area of rectanlge ' here
brainly.com/question/21029878
Kimmie sells custom T-shirts for $12 each at the flea market every Saturday She usually sells 36 T-shirts Kimmie surveys her customers about whether they would buy her T-shirts at a different price. She determines that for every $1 increase in price she would sell two fewer T-shirts and for even $1 decrease in price, she would sell two more T-shirts, Which quadratic function can Kimmie use to model price increments vs. total income so that she can find the price at which her income is maximized?
Answers
Answer:
y = -2*x² + 60*x
Step-by-step explanation:
The general form of a quadratic function is:
y = a*x² + b*x + c
We need to determine a ; b ; and c. For that we have three conditions therefore
Condition 1 at x = 12 $ each T-shirts kimmie sells 36 units, then she gets
12* 36 = 432 $ or y = 432 and
432 = a(12)² + 12*b + c or 432 = 144*a + 12*b + c
Second condition selling at 13 $ each T-shirt she sells 34 , then
13*34 = 442
442 = a(13)² + 13*b + c or 442 = 169*a + 13*b + c
And the third condition
11*38 = 418
418 = a* ( 121) + 11*b + c 418 = 121*a + 11*b + c
We have a three equation system
432 = 144*a + 12*b + c (1)
442 = 169*a + 13*b + c (2)
418 = 121*a + 11*b + c (3)
We need to solve it for a, b and c
Subtracting (2) - (1) 10 = 25*a + b and subtracting (2) - (3)
24 = 48*a + 2*b
Then b = 10 - 25*a and 24 = 48*a + 2*( 10 - 25*a )
24 = 48*a + 20 - 50*a
24 - 20 = -2*a
4 = - 2*a
a = - 2 and b = 10 - 25*( -2) b = 60
Finally c is: 432 = 144*a + 12*b + c
432 = 144* ( -2) + 12*60 + c
432 = - 288 + 720 + c
432 = 432 + c
c = 0
The quadratic function is:
y = -2*x² + 60*x
A bass guitarist worked on 15 music projects last year. He wrote and produced 5 projects. He wrote a total of 9 projects. Use a Venn diagram to determine:
a. How many projects he wrote but did not produce
b. How many projects he produced but did not write.
Let W be the set of projects the bass guitarist wrote and P be the set of projects he produced
Answers
Step-by-step explanation:
W = Set of projects the guitarist wrote
P = Set of products he produced
A bass guitarist worked on 15 music projects last year.
Universal set = 15
He wrote and produced 5 projects.
W ∩ P = 5
He wrote a total of 9 projects.
W = 9
The Venn Diagram is given in the attached image.
a. How many projects he wrote but did not produce (W - P)?
W - P = W - W ∩ P
W - P = 9 - 5 = 4
He wrote 4 projects but did not produce them.
b. How many projects he produced but did not write (P - W)?
Universal set = (W - P) + (P - W) + W ∩ P
15 = 4 + (P - W) + 5
(P - W) = 15 - 9 = 6
He produced 6 projects but did not write them
brainlist if you help me fill out table
Answers
Answer:
2.0 and 4.8
Step-by-step explanation:
each 5 is adding 0.4 and each 10 is adding 0.8. if you take the 20 and the number 1.6, multiply those by 3, and you will get 4.8 for the slot 60. for the slot 25, just add 0.4 to 1.6. hope this helped :)
what is the remainder when 849,400 is divided by 216
Answers
Answer:
The remainder is 88
Step-by-step explanation:
The Remainder of a Division
We have to find the remainder when we divide 849,400 by 216.
It could be found by doing the long division, but we'll do it with a calculator.
Entering the division in the calculator we get:
849,400/216=3,932.4074...
We take the whole part of the quotient (3,932) and multiply it by the divisor:
3,932*216=849,312
The remainder is obtained by subtracting 849,400-849,312=88
The remainder is 88
Tara and Edward each painted their bedrooms. They finished in the same amount of time, Even thought Edwards bedroom is bigger. They have 4 hours to start painting the basement before dinner is ready. Who will likely paint a larger part if the basement?
Answers
Answer:Edward
Step-by-step explanation:
John has 4.5 x 10^6 dollars in his bank account. Jacob has 1.3 x 10^7 dollars in his bank account. who has more money and by how much
Answers
Answer:
Jacob has more. $8,500,000 more.
Step-by-step explanation:
4.5 x 10^6 can be expressed as 4500000. and 1.3 x 10^7 can be expressed as 13000000. subtract, and you get %8,500,000
Michael has 12 yards of yellow fabric and 6 yards of purple fabric. how many inches of yellow and purple fabric does Kelly have.
Answers
Answer:
648 inches
Step-by-step explanation:
12 + 6 = 18 yards
there are 36 inches in 1 yard
so there is 648 inches in 18 yards
Answer:
she has 18 yards of fabric all together
Convert the following recipe for 12 portions so that it yields 60 portions.
Stir Fried Chicken
3 lb chicken 6 oz. soy sauce 1 lb. green peppers
1/2 lb. scallions 2 oz ginger
2 cups Water
Answers
Answer:
15lb chicken 30 oz. soy sauce 5lb. green peppers
2 1/2 lb. scallions 10 oz. ginger
10 cups Water
To make 60 proportions of Stir Fried Chicken requires 15lbs of chicken,
30 oz of soy sauce, 3 lb. green peppers, 5/2 lb scallions, 10 oz ginger, and 10 cups Water.
What are ratio and proportion?A ratio is a comparison between two similar quantities in simplest form.
Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.
In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.
Given 12 portions of Stir-Fried Chicken requires 3 lb chicken 6 oz.
soy sauce 1 lb. green peppers
1/2 lb scallions
2 oz ginger
2 cups Water.
∴ To make 60 proportion or (12×5) proportion we have to multiply each ingredient by a factor of 5.
So, 60 proportions of Stir-Fried Chicken requires (3×5) = 15lbs of chicken,
(6×5) = 30 oz of soy sauce, (1×3) = 3 lb. green peppers, (1/2×5) = 5/2 lb scallions, (2×5) = 10 oz ginger and (2×5) = 10 cups Water.
learn more about ratios and proportions here :
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please help i will give barinliest
Answers
Please help 15 points
Answers
Answer:
12 %
Step-by-step explanation:
3/25 = 0.12
0.12 x 100 = 12
Answer:
12%
Step-by-step explanation:
3/25=0.12
0.12 turnes into 12%
I try to find it but I could PLEASE help I’ll say the answer when I’m done
Answers
Answer: false
Step-by-step explanation:
3 over x plus 6 over y
Answers
Answer:
[tex]\frac{3}{x}+\frac{6}{y}[/tex]
There was 1 L of water in the water bottle tom drake 200 mL of water how many liters of water are left?
Answers
Answer:
0.8 liters
Step-by-step explanation:
1l=1000 mlml=1000 ml-200ml=800ml=0.8L
Answer:
shouldn't it be 800 mL
Step-by-step explanation:
cause there are 1000mL in 1 liter
s'ams mother is twice as old as sam in 12 years sam will be as old as his mother was 12 years ago how old are sam and his mother now? sam is?years old his mother is ? years old
Answers
Answer:
Sam is 24 years old and his mother is 48 years old.
Step-by-step explanation:
Equations
Let's call
x = Sam's current age
Since Sam's mother is twice as old as Sam:
2x = Sam's mother current age
x + 12 = Sam's age in 12 years
2x - 12 = Sam's mother age 12 years ago
These two last expressions are equal:
x + 12 = 2x - 12
Subtracting x and adding 12:
x = 24
2x = 48
Sam is 24 years old and his mother is 48 years old.
Answer:
Sam is 24 and his mom is 48
Step-by-step explanation:
NEED AN ANSWER QUICKK Ayo and Ria are both travelling by train.
Ayo's train travels 90 km in 50 minutes.
Ria's train travels 476 km.
It leaves at 14:05 and arrives at 17:35.
Work out the difference, in km/h, between the average speed of their trains.
Answers
Answer:
28
Step-by-step explanation:
I guessed it right on hegarty maths and this was the answer
Find two integers whose sum is -9 and product is 14
Answers
-7 + -2 = -9
-7 * -2 = 14
The next number in the arithmetic sequence 10, 23, 36, __is:
49.
46.
43.
50.
Answers
Answer:
49
Step-by-step explanation:
Answer:
49
Step-by-step explanation:
From the sequence it is obvious that the next number was simply the addition of 13, so by adding 13 to 36 we get 49
The polygons
are similar. Find the value of x.
10
2x - 19
7
14
14
Answers
answer:
14 is two times greater than 7.
so,
10 is two times greater than 2x - 19
10 = 2(2x - 19)
10 = 4x - 38
48 = 4x
x = 12
-- please mark the brainliest and click the thanks button if correct :)
If 3/10 = 30/100, then 4/10 = ___/100
Answers
Answer:
40/100
Step-by-step explanation:
Answer:
40
Step-by-step explanation:
If 3/10 = 30/100, then 4/10 = 40/100
state if each pair of ratios forms a proportion 4/3 and 16/12 help me
Answers
Answer:
if you multiply 4/3 by 4/4 you get 4/16.
Step-by-step explanation:
Subscribe to Clutch Gam3r on You Tube
Laura is saving money to buy a game. The game cost $36, and so far she has saved three- fourths of this cost. How much money has Laura saved
Answers
Answer:
27
Step-by-step explanation:
3/4*36=27
therefore the answer is
27
HELPPPPPPPPPPPPPPPPPPPP QUICK PLEAAAAAAAAAAAASE
Which of these geometric figures can intersect to form a cross section? Check all that apply.
1. a line and a prism
2. a line and a rectangle
3. a point and a prism
4. a prism and a horizontal plane
5. a vertical plane and a pyramid
Answers
B:line and rectangle
1. Evaluate the expression for the given value of the variable. 4(z+ 4) + 5 for z = 2
A 4(2z + 4) +5
B -3
C 17
D 29
Answers
Answer:
D
Step-by-step explanation:
4(z+ 4) + 5 z = 2
4(2+4)+5
4(6)+5
24+5
=29
Answer:
theres a bunch of online calculators for equations of any type I reccomend saving your points for other subject questions
Step-by-step explanation:
Lila decided to make more baked goods for the bake sale. She used 1/8 less flour to make bread to make cookies. She used 1/4 more flour to make cookies than to make brownies. If she used 1/2 of flour to make the bread, how much flour did she use to make the brownies. Explain your answer.
Answers
Answer:
3/7 cup
Step-by-step explanation:
Ignore the units for the time being. Just to give it units, you could call it cups. This question is really about ratios.
Let the cookies = x
Then the bread = x - 1/8 x = 7/8x
The brownies = cookies - 1/4 cookies
The brownies = 3/4 cookies = 3/4 x
==============
Now start again.
The bread uses 1/2 cup.
That translates into 1/2 = 7/8 x
x = 1/2 // 7/8 = 4/7 cup for the cookies (4/7 is larger than 1/2)
Whatever the cookies are, the brownies take 3/4 as much
4/7 * 3/4 = 12/28 = 3/7
The answer should be 3/7 of a cup.
9514 1404 393
Answer:
3/8 lb
Step-by-step explanation:
If all units are pounds, then we have ...
bread = cookies - 1/8 lb
cookies = brownies + 1/4 lb
bread = 1/2 lb
Using the last value in the first equation, we find ...
1/2 lb = cookies - 1/8 lb
cookies = 5/8 lb . . . . . . . add 1/8 lb to both sides
Using this in the second equation gives ...
5/8 lb = brownies + 1/4 lb
3/8 lb = brownies . . . . . subtract 1/4 lb from both sides
__
Lila used 3/8 lb of flour to make the brownies.
Solve the equation 2x +45 = 9. Explain the steps
and properties you used.
Answers
Answer:
Step-by-step explanation:
Here you go mate
Step 1
2x+45=9 Equation/Question
Step 2
2x+45=9 Simplify
Step 3
2x+45=9 Subtract 45 from sides
2x=-36
Step 4
2x=-36 Divide sides by 2
-18
Answer
x=-18
Hope this helps
Answer:
Step-by-step explanation:
I can help
Step 1
2x +45 = 9 Simplify
Step 2
2x +45 = 9 you gotta subtract 45 from each sides
2x=-36
Step 3
2x=-36 Divide the sides by 2
Answer
x=-18
hope this helps
