Answer:
(0,8)
Step-by-step explanation:
The line crosses the y axis at (0,8)
A building casts a shadow that is 50 feet in length. If the distance from the end of the shadow to the top of the building is 250 feet, what is the height of the building
Answer:
The height of the building is of 244.95 feet.
Step-by-step explanation:
We use the Pythagorean Theorem to solve this question.
We have that:
The shadow of 50 feet is one side of the right triangle, while the height h is other side.
The hypotenuse is the distance from the end of the shadow to the top of the building, which is 250 feet.
So
[tex]50^2 + h^2 = 250^2[/tex]
[tex]h^2 = \sqrt{250^2 - 50^2}[/tex]
[tex]h = 244.95[/tex]
The height of the building is of 244.95 feet.
In the regular pentagon below, the radius is _____, apothem is____, and the side length is______.
Answer:
radius = 6
apothem = 4.85
side length = 7.05
Step-by-step explanation:
sin 36 =x/6, x= 3.53, side length = 7.05
cos 36 = apothem/6, apothem = 4.85
Therefore, the values of the pentagon is the radius is 6, apothem=4.8 and the side length =3.48.
What is the pentagon?A pentagon is one of the many types of polygon having five sides and five angles. The word 'Pentagon' arises from two words, that are, ‘Penta’ and ‘Gonia,’ meaning five angles.
Let x be the side length of the pentagon.
As per the given information;
Apothem is the line from the center of the pentagon to a side, intersecting the side at 90 degrees right angle.
Sin(36) = x / 6
x = 6 × sin(36)
side length x = 6 × (0.58)
side length x = 3.48
And
cos(36) = apothem / 6
Apothem = 6 cos36
Apothem = 6 (0.80)
Apothem = 4.8
Hence, the radius is 6, apothem=4.8 and the side length x=3.48.
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Taylor has a $30.00 gift card that she can
spend at the store. She has already bought a
$9.00 picture frame, and she wants to buy $3.00
journals with the leftover money on the card. How
many journals can she buy without going over the
card's limit(solve for x)
Answer:
She can buy 7 Journals
Step-by-step explanation:
9 + 3x ≤ 30
Subtract 9 on both sides...
3x ≤ 21
Divide by 3 on both sides...
x ≤ 7
Hope this helps :)
Answer:
7 journals
Step-b7 y-step explanation:
In this question, we have to find how many journals she can buy with her left over money.
We know that she has a $30 gift card. We also know that she already spent $9 of it on a frame.
With this knowledge, we know that she has $21 left on her gift card.
To find how many journals she can buy, lets set up an equation where x = the amount of journals.
3x = 21
Solve for x:
3x = 21
Divide both sides by 3
x = 7
This means that she could buy 7 journals.
0.38 · 32 12/19 − 4 7/30 ÷ 0.6=
Answer:
5.34 repeating
Step-by-step explanation:
The four is repeating.
Jane has just begun her new job as on the sales force of a very competitive company. In a sample of 16 sales calls it was found that she closed the contract for an average value of 108 dollars with a standard deviation of 12 dollars. Company policy requires that new members of the sales force must exceed an average of more than $100 per contract during the trial employment period. Can we conclude that Jane has met this requirement at the significance level of 90%
Answer:
There is significant evidence that Jane has met the requirement.
Step-by-step explanation:
Given that:
μ = 100
μ > 100
Sample size, n = 16
Sample mean, x = 108
Sample standard deviation, s = 12
Level of significance, α = 0.1
Degree of freedom, df = n - 1 = 16 - 1 = 15
Test statistic
T = (x - μ) / s÷sqrt(n)
Tstatistic = (108 - 100) / 12 ÷ sqrt(16)
Tstatistic = 8 / 3
Tstatistic = 2.6667
Using the pvalue calculator :
Tstatistic at 0.1, df = 15 ;
P-value = 0.008799
Since pvalue < α
We reject the Null
The is no significant evidence to conclude that Jane has exceeded an average of more than $100
A factory building built for $400,000 depreciates continuously at 10% per annum. What is its value after 7 years?
Answer:
198,634
Explanation:
Substitute the given values into the formula: A = Pe^(−rt), where A represents the future value, P represents the initial (current) value, r represents the rate, and t represnts the time.
A = 400,000e^(-0.10)(7)
A = 198634.12
The value of building depreciation after seven-year is $191,318.76
Depreciation based problem:What information do we have?
Value of building = $400,000
Depreciation rate = 10%
Number of year = 7 year
Value of building after depreciation = P(1-r)ⁿ
Value of building depreiciation = 400,000(1-10%)⁷
Value of building depreciation = 400,000(1-0.1)⁷
Value of building depreiciation = 400,000(0.9)⁷
Value of building depreiciation = 400,000(0.4782969)
Value of building depreciation = $191,318.76
Find out more information about 'Depreciation'
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Solve by subsititution y= -2x+5 and 3y=-x-5
Answer:
( 4 , -3 )
Step-by-step explanation:
Trust me
What is the solution of this system of linear equations?
y = 3x - 2
y - 2 = x
Click on the coordinate grid below to graph the lines,
Answer:
x=2
y=4
You don't need an explanation, do you?
A miniature golf course charges a flat rate of $5.00 for a putter and then $3.25 for every round of golf played. Write an equation in slope intercept form that shows the cost of playing x number of games.
The local grocery store has sorted apples by size. The distribution is approximately normal. The large apples have a mean diameter of 10 cm with a standard deviation equal to 0.5 cm. In a bin of 100 large apples, how many can be expected to have a diameter greater than 11.5 cm, three standard deviations above the mean?
Answer:
0
Step-by-step explanation:
Approximately 0.2% of the apples will be more than three standard deviations above the mean size. In a bin of 100 apples, 0.2% of 100=0.2% apples, this rounds down to zero apples that size or larger. (In a bin of 500 apples, there could be one apple of that size.)
find the HCF of 120,140, 180
Answer:
The Highest common factor of 120,140,180 is ( HCF) = 20
Step-by-step explanation:
Explanation:-
Given numbers 120,140,180
120 = 60 × 2
= 30 × 2× 2
= 15 × 2×2×2
= 5×3× 2×2×2
140 = 70 × 2
= 10 × 7× 2
= 5× 2× 7× 2
180 = 90 × 2
= 30×3×2
= 5 × 6 × 3× 2
= 5 × 2× 3× 2 × 3
The Highest common factor of 120,140,180 is 5 ×2×2 = 20
Please help ASAP....
Answer:
Step-by-step explanation:
a) Volume of small cube box = 8 in³
side³ = 8 = 2³
Side of small box = 2 in
b) Side of larger box = 2 + 6 = 8 in
Volume of larger box = 8*8*8 = 512 in³
c) Number of balls to be shipped in the larger box = Volume of larger box ÷ Volume of smaller box
= 512 ÷ 8
= 64 golf balls
what is 4.2 divided by 20.076
Answer:
0.209205
Step-by-step explanation:
I put it in the calculator and got this...
Evaluate the expression when c=6 and x=4:
-c + 6x
Please help I will give brainliest
6 litros
Para 60
alumnos
Write a real world problem that you could represent with the equation 20 - n = 4. Solve the equation to find the answer to your problem
Answer:
I used 16 out of my 20 dollars to buy some chips at the cvs now I only have 4 dollars to spare.
Answer:
David has 20 baseball cards, he sells N cards and now he only has 4 cards. how many cards did David sell?
20-4=16
David sold 16 baseball cards.
35)
Which statement must be true to prove that a quadrilateral is a parallelogram?
A)
Consecutive angles are acute.
B)
Opposite angles are complementary.
Consecutive angles are complementary.
Opposite angles are congruent.
Answer:
D. Opposite angles are congruent
Step-by-step explanation:
Please help I WILL GIVE BRAINLIEST !!! I need the answers right away!
Answer:
Step-by-step explanation:
What is the perimeter of the figure below? WILL MARK BRAINLIEST
Answer:
D
Step-by-step explanation:
Perimeter: add all sides
2(4(2x+1))+2(3(x+4))
2(8x+4)+2(3x+12)
16x+8+6x+24
22x+32
A total of 584 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student tickets sold was three times the number of adult tickets sold. How many adult tickets were sold?
Answer:
584
Step-by-step explanation:
146 adult tickets were sold.
write out your equation first: x+3x=584
4x=584
x=146
Try it out 146+3(146)=584
It worked. That's the solution.
so lets divide the amount of tickets by 4 because there are 4 parts needed in this situation which equals 146 then we know our answer is 146 because the other three parts go to the kids tickets
(hope this helps can i plz have brainlist :D hehe)
Customers of a phone company can choose between two service plans for long distance calls. The first plan has a $21 monthly fee and charges an additional
$0.14 for each minute of calls. The second plan has a $29 monthly fee and charges an additional $0.10 for each minute of calls. For how many minutes of calls
will the costs of the two plans be equal?
Answer:
200 minutes of calls
Step-by-step explanation:
Let x represent the number of minutes of calls
Set up expressions that represent the costs for each plan:
0.14x + 21 can represent the first plan
0.10x + 29 can represent the second plan
Now, set them equal and solve for x to find when they will be equal:
0.14x + 21 = 0.10x + 29
0.04x + 21 = 29
0.04x = 8
x = 200
So, the costs will be equal with 200 minutes of calls
The perimeter of a rectangular painting is 280 centimeters. If the length of the painting is 76 centimeters, what is its width?
Answer:
76x2 = 152
280 - 152 = 128
128 ÷ 2 = 64
Answer:
the width is 64cm
Step-by-step explanation:
a rectangle has 4 sides, each set of opposite sides are congruent, perimeter is the distance around an object, so we need to add up all 4 sides and it should equal 280cm, we know one side is 76, so our equation should look as follows:
76 + x + 76 + x = 280
2x + 152 = 280
2x = 128
x=64
you can check the answer but substituting 64 for x and seeing if it comes out to 280
76+64+76+64=280
280=280
simplify this expression
2(3x -2 + 2y) - (2 + 4x + y)
Answer:
2 x + 3y − 6
Step-by-step explanation:
If you simplify you should get 2 x + 3y − 6
Answer:
2 x + 3y − 6
Step-by-step explanation:
Just Simplify
solve the equation 4(c-3)-8
what are two ways two start solving this equation? choose both ways.
1.use the distributive property to get 4c-3=8.
2.use the distributive property to get 4c-12=8.
3.add 3 to both sides to get 4c=11.
4.subract 4 from both sides to get c-3=4.
5. divide both sides by 4 to get c-3=2.
Answer:
Step-by-step explanation:
Desiree put 5 quarters, 3 dimes, and 7 nickels in her piggy bank. How much money did she put in her piggy bank in total?
Answer:
$1.90
Step-by-step explanation:
5 quarters= $1.25
3 dimes= $.30
7 nickels= $.35
1.25+.30+.35= 1.90
$1.90
el representante de una firma internacional de ropa juvenil desea afectará un estudio entre los adolescentes de una ciudad acerca de sus intereses y gustos desea realizar una encuesta entre los jóvenes del estado alto de dicha ciudad la cual se aplica a los estudiantes de tres colegios
Answer:
h
Step-by-step explanation:
Garrett wants to triple his spaghetti sauce recipe, which calls for 1 pound 10 ounces of ground turkey. How much turkey will he need?
Answer:
4 pounds, 14 ounces
Step-by-step explanation:
he said triple = *3
converting all the pounds to ounces, 1 pound is 16 ounces
16+10=26
26*3=78
78/16
4 pounds, 14 ounces
The highlighted option is wrong, Please help me with this one ill give brainiest
Answer:
Dont care about your life
Step-by-step explanation:
Someone have sox with me yuum I love licking plussy
Name the percent equivalent to 3/4?
Answer:
3/4×100%=75%is the percent equivalent to 3/4
A percent is a value out of 100
Change the fraction
= 3/4 * 25
= 75/100
This fraction represents a percent.
= 75/100
= 75%
To rent a saw that cuts tile, John’s Tool Store charges $20.00 per day, plus $0.10 per tile. Dylan’s Tool Store charges $25.00 per day to rent the saw, plus $0.05 per tile. A customer needs the saw for 3 days. How many tiles would a customer need to buy for the rental cost to be the same at both stores?
Answer:
$50.00
Step-by-step explanation: