Answer:
b. 2 feet
Step-by-step explanation:
The formula for volume of a cylinder is: V=πr^2h
Start by plugging in what they give you
V=πr^2h
314 =π(r)^2(25)
314 = 25π(r)^2
divide both sides by 25π, which is 78.5
4 = r^2
take the square root of both sides
r = 2
How is the logarithmic function y log x defined?
The logarithmic function y log x is defined as
[tex]$\log_b \text x = \text y \leftrightarrow \text b^y= \text x[/tex].
What is logarithmic function?An exponent that is expressed in a unique way is called a logarithm. As an illustration, we are confident that the exponential formula 32 = 9 is correct. In this instance, the base is 3, and the exponent is 2. The formula will be written as log3 9 = 2 in the logarithmic form.
This is expressed as "9 divided by base 3 is 2" in words. The exponent has been effectively lowered to the mainline in this case. However, despite the fact that this was done to make division and multiplication easier, logarithms are still very useful in mathematics.
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-50 POINTS- (Curtisqn don’t even try you’re slow.)
SSS
SAS
ASA
SAA
HL
in a box full of oranges, apples, and pears in a ratio 2:5:6. What is the total weight of the fruits in the box if it was known that there is 4.8 lbs of oranges in the box?
Answer:
31.2 lbs
Step-by-step explanation:
Let 2x = weight of oranges
5x = weight of apples
6x = weight of pears
2x + 5x + 6x = total weight
2x = 4.8
x = 2.4
4.8 + 5(2.4) + 6(2.4) = 4.8 + 12 + 14.4
= 31.2 lbs
One of the angles of a triangle is equal to the sum of the other two. If the ratio of the
other two angles is 2:3, then the angles are ______________.
Answer:
the correct answer is 60° and 30°( for the two angles that have the ratio 2:3)
The other angle will be 90°
Khalil buy 8 pound of apple for $12. 0. He want to know and ue the unit rate of cot per pound True or Fale: Uing the unit rate of the cot per pound, do 5 pound of apple cot $7. 50?
False. Using the unit rate of cost per pound, 5 pounds of apples cost $6.00.
Cost per pound = $12.00 / 8 pounds = $1.50
5 pounds of apples cost = 5 pounds x $1.50 = $7.50
The unit rate of cost per pound can be calculated by dividing the total cost of 8 pounds of apples by the total number of pounds. In this case, the unit rate of cost per pound is $1.50. This means that for every pound of apples, the cost is $1.50. To calculate the cost of 5 pounds of apples, we need to multiply the unit rate of cost per pound by the number of pounds. In this case, 5 pounds of apples cost $7.50, which is calculated by multiplying $1.50 by 5. Therefore, the statement that using the unit rate of cost per pound, 5 pounds of apples cost $7.50 is false.
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You just bought a new tablet computer for $500, including tax. There are no required payments for six months, but the company does charge 30% annual interest, compounded monthly, on any unpaid balance.
what is the effective annual rate of interest if you do not make any payments for a year?
The effective annual rate of interest if you do not make any payments for a year is 35%.
What is compound interest?Compound interest is the addition of interest to the principal sum of a loan or deposit. Mathematically -
[tex]$A = P(1 + \frac{r}{n})^{nt}[/tex]
where -
[A] = final amount
[P] = initial principal balance
[r] = interest rate
[n] = number of times interest applied per time period
[t] = number of time periods elapse
Given is that You just bought a new tablet computer for $500, including tax. There are no required payments for six months, but the company does charge 30% annual interest, compounded monthly, on any unpaid balance.
We can write -
A = 500(1 + 0.3/12)¹²⁽¹⁾
A = 500(1 + 0.025)¹²
A = 500 x (1.025)¹²
A = 675
Effective annual interest rate for a year is as follows -
A = 500(1 + r/1)⁽¹⁾⁽¹⁾
675 = 500(1 + r)
1 + r = 675/500
1 + r = 1.35
r = 0.35
r = 35%
Therefore, the effective annual rate of interest if you do not make any payments for a year is 35%.
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H)
find the exact value of sec 7pi / 4
Answer: sqrt(2)
Step-by-step explanation:
Remember that sec x = 1/cos x.
That means that sec 7pi/4 = 1/cos(7pi/4)
cos(7pi/4) = -cos(7pi/4 - pi)
= -cos(3pi/4)
cos(3pi/4) is a special angle which evaluates to -sqrt(2)/2.
Hence, -cos(3pi/4) evaluates to simply sqrt(2)/2
Since cos(7pi/4) is equal to -cos(3pi/4),
cos(7pi/4) is equal to sqrt(2)/2.
Lastly, sec 7pi/4 = 1/cos(7pi/4) , which is the reciprocal of sqrt(2)/2, that is 2/sqrt(2).
Rationalizing the answer 2/sqrt(2) gives sqrt(2)
What is the distributive property of 8×32 and 4×574
Solve this problem?
step by step
Answer:
[tex]x = \sqrt{87}[/tex]
Step-by-step explanation:
So, we need to use a bit of an unorthodox method here. We will use the Pythagorean theorem to find x. We will first start by finding out what all of our sides are. In the theorem, it's [tex]a^{2} + b^{2} = c^{2}[/tex] . We know that the b is x, and the c is 16, but we need to know what a is. a is not 18. We need to find the distance starting at the right triangle. To do that, we must subtract 5 from 18, giving us 13. So, we have:
[tex]13^{2} + x^{2} = 16^{2}[/tex]
Now, we will simplify the equations:
[tex]169 + x^{2} = 256[/tex]
Then, we will subtract 169 from both sides, giving us:
[tex]x^{2} = 87[/tex]
Square rooting both sides gives us:
[tex]x = \sqrt{87}[/tex]
And we cannot simplify further because 87's prime factorization doesn't let it have any ways to get out of the square root.
Hope this helped
A boat heading out to sea starts out at Point AA, at a horizontal distance of 862 feet from a lighthouse/the shore. From that point, the boat’s crew measures the angle of elevation to the lighthouse’s beacon-light from that point to be 15^{\circ}
∘
. At some later time, the crew measures the angle of elevation from point BB to be 8^{\circ}
∘
. Find the distance from point AA to point BB. Round your answer to the nearest tenth of a foot if necessary
The distance from point A to point B is 781.5 ft.
Since the angle of elevation from point A to the lighthouse is 15 degrees, use the tangent function to find the height of the lighthouse. Let x be the height of the lighthouse,
tan(15°) = x / 862
Solve for x.
x = 862 (tan(15°))
Similarly, let y be the distance from point B to the lighthouse,
tan(8°) = x / y
Solve for y.
tan(8°) = 862 (tan(15°)) / y
y = 862 (tan(15°)) / tan(8°)
y = 1643.45 feet
Subtract 862 from 1643.45 to get the distance from point A to point B.
distance from point A to point B = 1643.45 - 862 = 781.45 ft = 781.5 ft
Therefore, the distance from point A to point B is 781.5 ft.
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Someone please help!!! This is due tonight!! I’ll give brainliest
Answer:
($0.5 x 2) + ($1.25 x 3) + ($0.75 x 3) = $7
Answer: ($0.5*2) + ($1.25*3) + ($0.75*3) = $7
Step-by-step explanation: Since Laurie orders 2 fruit, 3 drinks, and 3 popcorn, we multiply the cost of each item by the number of items purchased.
For example, one fruit costs $.50. Since Laurie orders 2 fruits, we multiply .50 by 2, to get $1.
For future reference, the equation representing this problem would be
.50f+.75p+1.25d=c(total cost).
Please help I really need it now!!!
Answer:
d. alternate interior angles are congruent
Which expression is equivalent to 7(d - 4)?
Submit
7(-4+ d)
-4(d + 7)
(d + 7).-4
-28d + 7
The phrase that is identical to 7(d - 4) in option B is -4(d+ 7). A mathematical expression is a statement that contains a minimum of two numbers .
what is expression ?A mathematical expression is a phrase having a minimum of two numbers or variables and at least one mathematical operation. This mathematical operation may be addition, subtraction, multiplication, or division. An expression's basic components are as follows: Expression is (Number/Variable, Math Operator, Number/Variable). A mathematical expression is a statement that contains a minimum of two numbers or variables and at least one mathematical operation. Let's learn how to write expressions. A number is 6 more than half of another number, and that other number is called x. In a mathematical expression, this statement is represented as x/2 + 6.
given
The correct response is 4 less than 7, since 4 is less than 7.
Thus, 7-4=3 could be considered.
The first section of 7–4 appears to be answer B.
The phrase that is identical to 7(d - 4) in option B is -4(d+ 7).
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WILL GIVE BRAINLY 50 PTS
Each statement describes a transformation of the graph of f(x) = x. Which statement correctly describes the graph of g(x) if g(x) = f(x - 11)?
A.
It is the graph of f(x) translated 11 units to the left.
B.
It is the graph of f(x) where the slope is increased by 11.
C.
It is the graph of f(x) translated 11 units to the right.
D.
It is the graph of f(x) translated 11 units up.
Answer:
It's A 100% I got it right!!
Step-by-step explanation:
Please help me with either 2 or 3, which ever one you would rather do.
Answer:
send the picture clearly i will help uou surely
find the area of the figure below. use 3.14 for pie
Having a bit of trouble. Would anyone mind helping me.
What is the surface area of the pyramid?
Answer:
166 square units
Step-by-step explanation:
Let’s find the area of the shapes that in the net.
First, we can see two of the triangles have a base of 2 and a height of 13. The formula for surface area of a triangle is bh÷2. (13x2)÷2=13. Since there are two triangles, we multiply 13 by 2 and get 26.
Second, we can see two of the triangles have a base of 10 and a height of 12. (10x12)÷2=60. Since there are two triangles, we multiply 60 by 2 and get 120.
Third, we can see a rectangle has a base of 10 and a height of 2. The formula for surface area of a rectangle is bh. 10x2=20.
Last, we add up all the areas:
20+120+26=166.
The number of girls in chorus is 5 more than 3 times the number of boys *
there are 29 girls in the school chorus, how many boys are in chones?
Please answer asappp
PLZ HELP! Use technology or a z-score table to answer the question.
The amount spent by customers at a grocery store is normally distributed with a mean of $144.05 and a standard deviation of $34.52.
Approximately what percent of customers at the grocery store spend more than $200?
5.3%
8.2%
91.8%
94.7%
Answer:
the answer would be A, or 5.3%
Step-by-step explanation:
you start by finding the z-score of 200, so 200-144.05 = 55.95/34.52 = 1.62 (rounded to the nearest ) Then you use a z-score table to find the probability that a customer will spend less than 200 dollars and subtract the decimal probability from one. then you convert the decimal probability to a percent and get 5.3%.
PLEASE HELP ME PLEASE
Which of the following will form the composite function G(Ax)) shown
below?
(Ax)) = 3(x + 1)
O A. Ax) = 5x + 1 and G(x) = 3x
O B. Ax) = 3x and g(x) = + 1
O c. Ax) = x+1 and g(x) = 3x
O D. Ax) = x3x and G(x) = 1
Answer:
A
Step-by-step explanation:
check the above attachment to verify the answer.
What are the first three terms of a geometric sequence in which a5 = 25 and the common ratio is 5?
1
1 1
25'5'
25,125,625
1 1 1
25' 125'625
125, 25, 5
Answer: First three terms are 1/25, 1/5, and 1 in that order.
===========================================================
Explanation:
The fifth term is 25, which makes the fourth term to be 25*(1/5) = 5. We multiply any term by the reciprocal of the common ratio to move back to the previous term.
The third term is 5*(1/5) = 1. The second term is 1*(1/5) = 1/5. The first term is (1/5)*(1/5) = 1/25
Therefore, the first five terms are:
1/25, 1/5, 1, 5, 25
As we move from left to right, we multiply each term by 5. Going in reverse, we multiply by 1/5.
The first three terms of the sequence are 0.04, 0.2, and 1.0.
What is a geometric sequence?A geometric sequence is a sequence of numbers in which the ratio between consecutive terms is constant.
We have,
To find the first three terms of a geometric sequence, we need to use the formula for the nth term of a geometric sequence:
[tex]a_n = a_1 \times r^{n-1}[/tex]
where [tex]a_n[/tex] is the nth term of the sequence, [tex]a_1[/tex] is the first term, r is the common ratio, and n is the number of the term we want to find.
We are given that,
[tex]a_5[/tex] = 25 and r = 5.
We can use this information to find [tex]a_1[/tex]:
[tex]a_5 = a_1 \times r^{5-1}[/tex]
[tex]25 = a_1 \times 5^4[/tex]
25 = [tex]a_1[/tex] x 625
[tex]a_1[/tex] = 25/625
[tex]a_1[/tex] = 0.04
Now that we have found [tex]a_1[/tex], we can use the formula to find the first three terms of the sequence:
[tex]a_1[/tex] = 0.04
[tex]a_2[/tex] = 0.04 x 5 = 0.2
[tex]a_3[/tex] = 0.04 x 5² = 1.0
Therefore,
The first three terms of the sequence are 0.04, 0.2, and 1.0.
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How do you find the third side of an isosceles triangle when given the angle?
The third side of the isosceles triangle is equal to the square root of 2 multiplied by the hypotenuse, multiplied by the sine of the opposite angle.
Given an isosceles triangle with an angle and two equal sides, we can use the Pythagorean Theorem to calculate the missing side.
The Pythagorean Theorem states that the sum of the squares of the two sides of a right triangle is equal to the square of the hypotenuse. Therefore, we can use this formula to calculate the missing side of the triangle.
First, let's call the two equal sides of the triangle 'a', and the angle opposite to them 'A'.
We can then use the Pythagorean Theorem to calculate the missing side, 'c', which is the third side of the triangle.
[tex]c^2 = a^2 + a^2\\c^2 = 2a^2\\c = sqrt(2a^2)[/tex]
To calculate 'c', we can first calculate 'a' by using the formula:
a = c * sin(A)
Then we plug 'a' into the equation for 'c':
c = sqrt(2*(c * sin(A))^2)
c = sqrt(2)*c*sin(A)
Therefore, the third side of the isosceles triangle is equal to the square root of 2 multiplied by the hypotenuse, multiplied by the sine of the opposite angle.
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Tina bought 20 apples and bananas for her class. Apples cost $1.50 each. Bananas cost $1.25 each. Tina spent $28 in all. How many apples (a) and how many bananas (b) did she buy?
Answer:
She bought 10 apples and 10 bananas
Step-by-step explanation:
10 apples - $1.50 each x 10 apples = $15.00
10 bananas - $1.25 each x 10 bananas = $12.50
15.00+12.50=$27.50
x+y=28.00
1.50x+1.25y=28
Work with a partner. Every equation that has an unknown variable can be written as a question. Choose the question that represents the equation. Then answer the question.
$x\div5=3$
Responses
Answer:
x + 5 = 10
Step-by-step explanation:
Yvonne had a rope that measured 2/5 long. She
needed smaller ropes that measured 3/5 ft for a
project in her science class. How many smaller
ropes can she make from the larger rope?
Answer:
Number of smaller ropes she can make from the larger rope = 2/3
Step-by-step explanation:
Total length of rope = 2/5 ft
Length of smaller rope = 3/5 ft
How many smaller ropes can she make from the larger rope?
Number of smaller ropes she can make from the larger rope = Total length of rope / Length of smaller rope
= 2/5 ÷ 3/5
= 2/5 × 5/3
= (2*5)/(5*3)
= 10/15
= 2/3
Number of smaller ropes she can make from the larger rope = 2/3
-2/3 + y = -2 1/6
....................
Answer:
y = -3/2 or -1.5
Step-by-step explanation:
-2/3 + y = -2 1/6
-2 1/6 = -13/6
So, our equation is
-2/3 + y = -13/6
Add 2/3 to both sides
y = -3/2
So, the answer is
y = -3/2 or -1.5
Answer:
Y= -3/2
in decimal form it is -1.5
in mixed number form it is -1 1/2
Step-by-step explanation:
Find the coefficient of the $x^2$ term in the expansion of the product$$(2x^2 3x 4)(5x^2 6x 7).$$
The coefficient of [tex]x^{2}[/tex] in [tex](2x^{2}-3x-4)-(5x^{2}+6x-7)[/tex] is -3.
A coefficient is a multiplicative factor in a polynomial, series, or expression in mathematics. It is typically a number, although it can also be any expression (including variables such as a, b and c). They may also be referred to as parameters if the coefficients are variables in and of themselves. The coefficient in an expression that is not related to any variables is called the constant coefficient (also known as constant term or free coefficient).
Given equation,
[tex](2x^{2}-3x-4)-(5x^{2}+6x-7)[/tex]
= [tex]2x^{2}-3x-4-5x^{2}-6x+7[/tex]
= [tex]-3x^{2}-9x+3[/tex]
Hence, coefficient of [tex]x^{2}[/tex] is -3.
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What is the exact circumference of a circle that has a radius of 5 cm?
Answer:
0.796 (simplified) 10π (not simplified)
Step-by-step explanation:
The formula for the circumference of a circle is
2πr so we have to do is plug in 5 for our radius:
2π(5) equals .796 or can be left as 10π.
The exact circumference of a circle that has a radius of 5 cm will be 31.4 centimeters.
What is the circumference of a circle?The radius of a circle is the distance between the center and the circumference.
Let r be the radius of the circle.
Then the circumference of the circle will be
Circumference = 2πr units
The radius of the circle is 5 centimeters.
Then the circumference of the circle will be
Circumference = 2πr
Circumference = 2π (5)
Circumference = 10π
We know that the value of π will be 3.14 approximately. Then we have
Circumference = 10 x 3.14
Circumference = 31.4 centimeters
The exact circumference of a circle that has a radius of 5 centimeters will be 31.4 centimeters.
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ou have $54.75. You earn additional money by mowing lawns. Then you purchase a new pair of shoes for $79.99 and have $34.76 left. How much money do you earn mowing lawns
Answer: 60
Step-by-step explanation:
If you subtract how much money you already had(54.75) from what you spent(79.99) you get 25.24. You then add 25.24 to the koney you had left(34.76) to get you answer of 60