Answer:
21ft
Step-by-step explanation:
We are given that the support post is 10 ft tall.
Let x represents the distance between the support post and the front of the house, that means that 25-x will be the distance from back.
By Geometric Mean Theorem, the length of the altitude to the hypotenuse of a right triangle is the geometric mean of the lengths of the segments of the hypotenuse.
So, by the previous Theorem, we get:
We got that the distance between the support post and the front of the house is 4 ft, while the distance between the support post and the back of the house is ft.
1. 9s + 4t
2. 46rs + 10x
3. 18q + 14x
4. 10x + 14y
5. 17rs + 32x
6. 5x + 7y - 5z
7. 3ab + 70m
8. 3r + 20a + 10m
9. 7k + 16m
10. 7r + 5s
11. 9j + 120m
12. 12k + m
13. 6c + 15h + w
14. 2c - 19d + 12f
15. 3t + 14r - 31j
Answer:
1. 9, 4
2. 46, 10
3. 18, 14
4. 10, 14
5. 17, 32
6. 5, 7
7. 3, 70
8. 3, 20, 10
9. 7, 16
10. 7, 5
11. 9, 120
12. 12, 1
Step-by-step explanation:
Definition of coefficient. Your welcome :)
50 POINTS AND BRAINLIEST TO CORRECT ANSWER!!
Answer the following linear equations: x3+y3+z3=k
2x – y = 6, x – y = 2
and ax + by = a-b, bx – ay = a+b
TYVM!! :)
ax+by=a−b .......... (1)
bx−ay=a+b .......... (2)
Multiply equation (1) with a and equation (2) with b ,
a
2
x+aby=a
2
−ab ..........(3)
b
2
x−aby=ab+b
2
......... (4)
Adding (3) and (4), we get,
(a
2
+b
2
)x=a
2
+b
2
⇒x=1
Now, from (1),
ax+by=a−b
a+by=a−b
by=−b
y=−1
Answer:
The equation represents a polynomial equation in which the variables X, y, and z are raised to the third power and are equal to a constant value "k".The degree of the polynomial is 3, meaning that the highest power of the variable is 3. The equation has no solution if k is not a sum of three cubes of real numbers.A polynomial equation is an equation that involves one or more variables raised to apower, or exponent, and can include constants and coefficients. The sum or difference of two or more such equations is also a polynomial equation. The degree of a polynomial equation is the highest power of the variable in the equation. For example, in the equation , the degree is 2 because the highest power of the variable X is 2.A polynomial equation of degree one is a linear equation, and a polynomial equation of degree two is a quadratic equation. The solutions of a polynomial equation of degree n will be n roots/solutions. The solutions can be real or complex numbers.
help me pls thank you !
Answer:
21
Step-by-step explanation:
We need to use the formula of area of a triangle to solve this. The formula is (1/2) * base * height. Here, the base is the distance from the line x = -4 to (2, 2), so the base is 6 units. The height is the difference from (-4, 4) and (-4, -3), which is 7 units. Thus, the area is (1/2) * 6 * 7 = 21 square units
The price of fuel may increase due to demand and decrease due to overproduction. Emily is studying the change in the price of two types of fuel, A and B, over time.
The price f(x), in dollars, of fuel A after x months is represented by the function below:
f(x) = 2.96(1.04)x
Part A: Is the price of fuel A increasing or decreasing and by what percentage per month? Justify your answer. (5 points)
Part B: The table below shows the price g(m), in dollars, of fuel B after m months.
m (number of months) 1 2 3 4
g(m) (price in dollars) 3.04 3.22 3.41 3.61
Which type of fuel recorded a greater percentage change in price over the previous month? Justify your answer.
Answer: look at the image for the answer and solution
Step-by-step explanation:
The price of fuel A is increasing by 4% per month. the fuel B recorded a greater percentage change in price over the previous month, with an average increase of about 6%.
What is percentage?
A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per cent refers to one hundred percent.
Part A: From the coefficient of the term (1.04)^x in the function f(x) = 2.96(1.04)^x it can be seen that the price of fuel is increasing by 4% per month. 1.04, represents the increase in price each month and exponent, x represents the number of months. The coefficient of 2.96 represents the starting price.
And hence, the price of fuel A is increasing by 4% per month
Part B: To determine the percentage change in price between each month, we need to calculate the percentage increase or decrease from the previous month's price.
For fuel A, the percentage change in price each month is given by:
100 * (1.04 - 1) = 4%
For fuel B, we can calculate the percentage change in price for each month from the table:
Percentage change:
Between months 1 and 2: 100 * (3.22 - 3.04) / 3.04 = 6.58%
Between months 2 and 3: 100 * (3.41 - 3.22) / 3.22 = 5.19%
Between months 3 and 4: 100 * (3.61 - 3.41) / 3.41 = 6.50%
Therefore, the fuel B recorded a greater percentage change in price over the previous month, with an average increase of about 6%.
The price of fuel A is increasing by 4% per month. the fuel B recorded a greater percentage change in price over the previous month, with an average increase of about 6%.
Given below is a sample of Percentage. please refer the following link
https://brainly.com/question/24877689
#SPJ1
Help meeeeeeeeeeeeeee
Answer:
The error made in simplifying the expression is that 54 · 1 is supposed to be equivalent to 54, not 1.
Step-by-step explanation:
The Multiplication Property of One states that any number that is multiplied by one will stay the same, keeping its exact numerical value as before. However, in the expression shown, 54 multiplied 1 ended up equaling 1, which does not fit the Multiplication Property of One. Therefore, the error made in simplifying the expression is that 54 · 1 is supposed to equal 54, and not 1, based on the rule of multiplying any number by 1.
Have a great day! Feel free to let me know if you have any more questions :)
Suppose that you know that angle t and angle s are supplementary, and that the measure of angle t = 3 times the measure of angle s.
How can you find the measure of angle t ?
Answer: 135 degrees
Step-by-step explanation:
Supplementary angles are those angles that sum up to 180 degrees. For example, angle 130° and angle 50° are supplementary angles because the sum of 130° and 50° is equal to 180°.
Using that, you know that angles t and s are equal to 180 degrees. You also know that angle t is 3 times the measure of angle s.
Therefore, we can create this equation.
3s + s = 180
4s= 180
s = 45
Angle s is 45 degrees.
180 - 45 = 135
Angle t is 135 degrees.
24s+56t what is it?? (i must answer or else i need to go to the next)
Answer:
8(3s + 7t)
Step-by-step explanation:
Factor 8 out of 24s + 56t.
Use the information provided to answer Parts A and B below. The owner of a technology store is offering a discount on Android tablets sold in the store.
Part A: The owner offers a payment plan where the total cost of the tablet is paid in 5 equal monthly payments. Determine the amount of each monthly payment. Show your work or explain your answer.
Part B: At the same store, a certain brand of laptop is advertised as 20% off of the original price. After the discount, the tax is $47.04.
Question 1: Determine the total price of this laptop after the discount and tax are applied. Show your work or explain your answer.
Question 2: Determine the original price of this laptop. Show your work or explain your answer.
Answer:
Step-by-step explanation:
jbariupbwaurcibrievb
help me pls thank you :(
Answer: Function
Step-by-step explanation:
I know bc im a teacher
please answer this if you can.
Answer:
(a) A=10ft
B=2ft
C=5ft
D=2ft
(b) 160ft^2
The diameter of a hat is 6.8 inches. What is the distance around the hat using π = 3.14? Round to the hundredths place.
2.17 inches
10.68 inches
21.35 inches
36.29 inches
The required distance around the hat is approximately 21.35 inches. Option C is correct.
What is the circumference of the circle?To find the circumference of a circle, we use the formula C = πd, where C is the circumference, π is the mathematical constant pi (approximately equal to 3.14), and d is the diameter of the circle.
Here,
The distance around a circle is given by the formula circumference = π × diameter.
Substituting the given values, we get:
circumference = 3.14 × 6.8
circumference = 21.352
Rounding to the nearest hundredth, we get:
circumference ≈ 21.35 inches
Therefore, the distance around the hat is approximately 21.35 inches.
Learn more about circumference here:
https://brainly.com/question/28757341
#SPJ2
Lupita rides a taxi that charges a flat rate of $6. 75 plus $3. 20 per mile. If the taxi charges Lupita $40. 03 in total for her trip, how many miles is her ride?
Enter your answer in the box as a decimal to the nearest tenth of a mile.
_____ miles
Answer:
10.4 miles
Step-by-step explanation:
Write an equation for the total cost paid as a function of the # of miles driven:
L(x) = $6.75 + ($3.20/mile)x
and set this equal to $40.03 to determine the # of miles Lupita rode:
L(x) = $6.75 + ($3.20/mile)x = $40.03
Isolate the x term by subtracting $6.75 from both sides:
($3.20/mile)x = $40.03 - $6.75 = $33.28
Finally, divide both sides by ($3.20/mile):
x = $33.28 / ($3.20/mile)
= 10.4 miles
Lupita rode 10.4 miles in the taxi.
What is the circumference of the circle in terms of π?
circle with a segment drawn from one point on the circle through the center to another point on the circle labeled 6 yards
36π yards
18.84π yards
6π yards
3π yards
Answer:
Therefore, the circumference of the circle is 6π yards.
Step-by-step explanation:
The circumference of a circle can be calculated using the formula C = 2 * π * r, where r is the radius of the circle.
In this case, we have a segment drawn from one point on the circle through the center to another point on the circle labeled 6 yards, which is equal to the diameter of the circle. So, the radius of the circle is 6 yards / 2 = 3 yards.
Plugging this into the formula, we have:
C = 2 * π * 3 = 6 * π
Therefore, the circumference of the circle is 6π yards.
Frankie bought a new phone and bought some apps.
His phone has enough space for 50 apps.
1/5
of his apps were social media.
7/10
of his apps were games.
1/10
of his apps were educational.
How many of Frankie's apps are educational?
A 5
B 7
C 35
D 25
Answer: A(5)
Step-by-step explanation: First we need to convert 1/5 to 2/10 so we not work with the fractions. So 2/10 apps were social media and 7/10 were games so we can add those together to get 9/10. So 9/10 apps are not educational. We know 50÷10=5 so 5×9=45 so 45 apps are non-educational so that means 5 apps are educational.
Hope this helps!
1/5 of 50 = 10
7/10 of 50 = 35
1/10 of 50 = 5
there would be space for 5 educational apps <3
Help me!!
What word in the English language does the following: the first two letters signify a male, the first three letters signify a female, the first four letters signify a great, while the entire world signifies a great woman. What is the word?
Heroine. Explanation: The first two letter i.e. 'he' refers to male person, the first 3 letters i.e. 'her' denotes female, the first 4 letter i.e. 'hero' means a great personality while the whole world i.e. heroine is the great woman.
Every week a company provides fruit for its office employees. They can choose from among five kinds of fruit. Which probabilities correctly complete the probability distribution for the 50 pieces of fruit, in the order listed?
Answer:
B
Step-by-step explanation:
Probability of apple :
No. of apple / No. of fruits
• 10/50
• 0.2
Probability of banana :
No. of banana / No. of fruits
• 15/50
• 0.3
Probability of lemon :
No. of lemon / No. of fruits
• 6/50
• 0.12
Probability of orange :
No. of orange / No. of fruits
• 14/50
• 0.28
Probability of pear :
No. of pear / No. of fruits
• 5/50
• 0.1
At Pruitt’s farm, the ratio of oranges to apples is 4 to 8. A total of 96 apples and oranges are grown on his farm. Find the number of oranges grown.
A. 64
B. 32
C.12
D. 16
Answer:
32 (B)
Step-by-step explanation:
Because there is a total of 96 apples and oranges, you would divide 96 by 12 because 4 + 8 = 12. 96/12 is 8, so we know that each part (1 part of the ratio) would be 8. Since we are finding the number of oranges, you would multiply 4 x 8 which is 32. (B)
please help if you know how to do this, show an explanation please
Answer:
a. 8, 3, 6, 10
b: 220
Step-by-step explanation:
surface area = bh + (b1 + b2 + b3) L
6(8) + (6+8+3) x 10
48 + (17)(10)
48 + 170 = 220
Answer:
96 ft²
Step-by-step explanation:
Surface area of triangular prism:A = 8 ft
B = 2 ft
C = 6 ft
D = 10 ft
[tex]\boxed{\bf Surface \ area \ of \ right \ triangular \ prism = (perimeter \ of \ triangle)*B + C*A }[/tex]
= (A + C + D)* B + C*A
= (8 + 6 + 10)*2 + 6*8
= 24*2 + 48
= 48 + 48
= 96 ft²
IF U R GOOD AT MATH PLS
HELP ME> (IF UR ANSWER IS RIGHT I WILL MARK BRAINLIEST)
I HAVE 5 MINS B4 CLASS ENDS
1. simplify (2x) x 5
2. simplify (0 + c) + 12
i need help pls mathematics :)
Answer:
The solution is B. 2 2/10
Step-by-step explanation:
[tex]6 \frac{8}{10} - 4 \frac{6}{10} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ = (6 - 4) + ( \frac{8}{10} - \frac{6}{10} ) \\ = 2 + ( \frac{2}{10} ) \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ = 2 \frac{2}{10} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]
m-18.22=37.8 HELPPPP
help me pls thanks <)
Answer: The answer is 25
Step-by-step explanation:
A teacher surveyed her class after they had taken a vocabulary test. Eighteen of the students claimed they had studied at least one hour for the test. The remaining twelve students admitted that they had not studied for the test at all. The test results (expressed as a percent) for the two groups are shown below.
Studied: 88, 100, 94, 79, 92, 100, 95, 83, 89, 99, 100, 91, 89, 95, 100, 93, 96, 84
Did Not Study: 82, 72, 45, 91, 58, 83, 65, 87, 90, 77, 73, 89
1. Calculate the range and interquartile range for each set of data.
2. Using complete sentences, compare the data sets based on your results in part A.
Answer:
ok so the range for studied is 21 and the interquartile is 10
and the range for did not study is 46 and the interquartile is 19.5
Step-by-step explanation:
also, what do you need for 2 comments so I can help brainlyness please
Please help me.................................
Answer: look at the image for the answer and the solution
Step-by-step explanation:
6 1/4 km: 1 1/4 minutes is the right answer
50 POINTS AND BRAINLIEST TO CORRECT ANSWER!!
The sum the age of a boy and his sister is 32 years. If the boy is 6 years older than his sister, how old is his sister?
TYVM!! :)
Answer:
The sister is 13 years old.
Step-by-step explanation:
Let the boy's age = b.
Let the sister's age = s.
b + s = 32
b = s + 6
s + 6 + s = 32
b = s + 6
2s + 6 = 32
b = s + 6
2s = 26
b = s + 6
s = 13
b = 13 + 6
s = 13
b = 19
Answer: The sister is 13 years old.
Laura wants to estimate the sum 0.26 + 0.9. Should her estimate be more or less than 1? Explain how you can tell without using a calculator.
Answer:
Step-by-step explanation:
more.
The sum of 0.26 + 0.9 0.26+0.9 0.26+0.9 is more than 1. As we know when 0.9 is added with anything more than 0.1 we will get the result more than 1. So in this case 0.9 is added with 0.26 which is more than 1.
If the dimensions of a figure are multiplied by
5. How many times larger will the surface area
Answer: 25 is the answer (look at the image for the explanation)
Step-by-step explanation:
27=3m i hate hw sm.. pls helpp
mathematics 20 points
