The horizontal distance between the front door and the point where the ramp touches the ground will be equal to 12 feet.
What is the Pythagoras' Theorem?According to the Pythagoras theorem, if a triangle has a straight angle (90 degrees), the hypotenuse's square is equal to the total of its other two sides' squares.
As per the given information in the question,
Length of the ramp, h = 13 feet
Height of ramp from the ground, p = 5 feet
Let the horizontal distance is b.
Then, use the equation of Pythagoras' Theorem,
h² = p² + b²
13² = 5² + b²
b² = 169 - 25
b = √144
b = 12 feet.
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What is the value of the expression (0.4)2
A blueprint is a scale drawing of a building. The dimensions of the blueprint for Patricia doll house are 1/2 of the measurements of the actual doll house. The floor of the doll house has an area of 1,176 square inches. If the width of the doll house is 2/3 the length, what are the dimensions of the floor on the blueprint of the doll house? ___ inches by ___ inches
Answer:
no entiendo
Step-by-step explanation:
does anyone know how to do this? If so can you please help me?!
PLEASE HELP!!!I NEED IT
Answer:
10. y = 49, x = 15
11. y = 4, x = 61
This year there are 260 students in the 7th grade. Next year the school expects to have 290 students. What is the percent increase?
Answer:
about 11.5
Step-by-step explanation: i think this is right
Answer:
11.538%
Step-by-step explanation:
290 - 260 /260 x 100% = 11.538
On Saturday, Darnel earned $65 raking his neighbor's leaves and cleaning her garage. On Sunday, he earned $25 helping another neighbor rake leaves. He deposited his earnings in his bank account on Monday. What was the total change in Darnel's bank account relative to where it started?
Answer:
$90
Step-by-step explanation:
Calculation for the total change in Darnel's bank account relative to where it started
Based on the information given what will be the total change in Darnel's bank account relative to where it started will be the total amount he earned on both Saturday and Sunday
Total change=$65+$25
Total change=$90
Therefore the total change in Darnel's bank account relative to where it started will be $90
Gavin is saving up to buy a new phone. He already has $100 and can save an additional $7 per week using money from his after school job. How much total money would Gavin have after 10 weeks of saving? Also, write an expression that represents the amount of money Gavin would have saved in w weeks.
The total money would Gavin have after 10 weeks of savings is $ 170 and the required expression is 100 + 7w
Mathematical expression:
A mathematical expression is a combination of numbers, symbols, and operators that represents a mathematical relationship or calculation. It is written in a way that follows specific rules of mathematical notation, such as using parentheses to indicate the order of operations.
Here we have
Gavin is saving up to buy a new phone.
He already has $100 and can save an additional $7 per week using money from his after-school job
Let us assume that he worked for 'w' weeks
The amount earned for 'w' weeks = 100 + 7w
Hence, the required expression is 100 + 7w
The total amount saved in 10 weeks = 100 + 7(10) = $ 170
Therefore,
The total money would Gavin have after 10 weeks of savings is $ 170 and the required expression is 100 + 7w
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can u pls help me with this question
Answer:
A
Step-by-step explanation:
Answer:
A.
Step-by-step explanation:
A is the variable.
Comparing Methods to solving systems.
x -y =-2
7x +2y =-5
Solve it by graphing method
Answer:
[tex]x = - 1 \\ y = 1[/tex]
Step-by-step explanation:
[tex]x - y = - 2 [/tex]
[tex]x = y - 2[/tex]
[tex]7x + 2y = - 5[/tex]
[tex]7(y - 2) + 2y = - 5 \\ [/tex]
[tex]7y - 14 + 2y = - 5[/tex]
[tex]9y = 14 - 5[/tex]
[tex]9y = 9[/tex]
[tex]y = \frac{9}{9} = 1[/tex]
[tex]x = y - 2 = 1 - 2 = - 1[/tex]
NEED ASAP PLEASE HELP
Answer:
Step-by-step explanation:
Im sorry but looks hard
82% of 23.7 is what ?
a)28.9
b)146.9
c)1943.4
d)19.4
*with work done plz:)
Answer:
the answer is C
Step-by-step explanation:
hope this helps you
.82×23.7=19.434
Answer:
D
Step-by-step explanation:
step 1: Simplify 82/100 to its simplest form to by two to get 41/50
Step 2: multiply 41 by 23.7
41×23.7= 1971.7
Step 3: Divide 1971.7÷50=19.434
to the nearest hundredths =
19.4
please help me . i will help you whenever you want
Answer:
6.7cm
Step-by-step explanation:
We apply Pythagoras Theorem twice.
First we find out the diagonal of the base of the cuboid.
The diagonal of the base = sqrt (2^2+4^2) = sqrt (20).
Then we find out AB by applying Pythagoras Theorem.
AB^2 = 5^2 + [sqrt (20)]^2
AB^2 = 45
AB = 6.7cm (correct to 1 decimal place)
Sheldon also picks tomatoes from his garden. He picked 5 3 10kg, but 1.5 kg were rotten and had to be thrown away. How many kilograms of tomatoes were not rotten? Write an equation that shows how you reached your answer.
Answer:
3.8 kg
Step-by-step explanation:
Total kg of tomato = 5 3/10
Kilograms of rotten tomato = 1.5 kg
Kilogram of tomato tht were not rotten :
5 3/10kg - 1.5kg
= 5.3 - 1.5
= 3.8 kg
what is 4 × 10^2 in scientific notation?
Answer:
104 = 10 × 10 × 10 × 10 = 10,000
Step-by-step explanation:
In words: 104 could be called "10 to the fourth power", "10 to the power 4" or "10 to the 4"
Michael earns $900 per month, plus 5% commission on all his sales over $750. what is the minimum amount of sales Michael must have to earn at least $3500 in a month?
Answer:
The minimum amount of sales Michael must have to earn at least $2500 in a month is $ 32000
Explanation: The minimum amount of sales Michael must have to earn at least $2500 in a month is $ 32000
Solution:
The expression to Michael earnings is:
Where,
b is the base salary, which is $ 900 in this sum
c is the commission rate
Given that commission rate is 5%
Michael must have to earn at least $2500 in a month
Here, at least means, "greater than or equal to" 2500
The inequality is framed as:
base salary + 5 % on sales 2500
Solve the inequality
Therefore minimum amount of sales Michael must have to earn at least $2500 in a month is $ 32000
what is the slope of the line in the graph?
You're planning on making 7 meatloafs for a party. You go to the store to buy breadcrumbs, and see they are sold by the canister. How many canisters do you need to buy? First, determine what information you need to answer this question, then click here to display that info (along with other info). How much breadcrumbs does the recipe call for? It calls for 1 1/4 cups of breadcrumbs. How many meatloafs does the recipe make? It makes 1 meatloaf. How many people can 1 meatloaf feed? It says it serves 8. How big is the canister? It is cylindrical, 3.5 inches across and 7 inches tall. What is the net weight of the contents of 1 canister? 15 ounces. How much does a canister cost? $2.19 How much does a cup of breadcrumbs weigh? I'm not sure, but maybe something from the nutritional label will help. Nutritional label showing the serving size is 1/3 cup (30g), and there are about 14 servings per container.
A triangle has a base of two to the third power units and a height of chicken fourth power units what is the area of the triangle
How many solutions does the system have?
x = -6y + 3
5x + 30y = 15
one solution
two solutions
infinitely many solutions
no solution
Answer:
infinitely many solutions
Step-by-step explanation:
we have: x+6y= 3
5x+30y=15
where a1/a2 = b1/b2 = c1/c2 (1/5 = 6/30 = 3/15)
Thus, the system has infinitely many solutions.
another approach:
convert to slope-intercept form
y= -1/6x + 1/2
y= -1/6x + 1/2
thus, the system has infinitely many solutions.
(explain: if two lines have a same slope (-1/6), they can be either parallel or coincided. But in this case, they also have a same y-intercept so they must be the latter case)
Cherie accepted a job through an employment agency. The job pays $1,100 a week. The agency charges 30% of her first 4 weeks pay. Find the amount she owes the agency
Cherie owes the employment agency amount of $1,320.
What is the Multiplication operation?In mathematics, Multiplication operations perform Multiplying values on either side of the operator.
For example 4×2 = 8
To determine the amount Cherie owes the agency, we need to calculate 30% of her first 4 weeks of pay.
Since she earns $1,100 a week, the total pay for 4 weeks is $1,100 × 4 = $4,400.
Now that we have the total pay for 4 weeks, we can calculate 30% of that amount by multiplying $4,400 by 0.30.
So, 30% of her first 4 weeks' pay is $4,400 × 0.30 = $1,320.
Therefore, she owes the employment agency $1,320.
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please help i dont know this question
[tex]x {}^{2} + 8x + 15 = 0[/tex]
[tex]x^2 -5x-3 x +15=0[/tex]
[tex]x(x-5)-3(x-5)=0[/tex]
[tex](x-5)(x-3)=0[/tex]
[tex]x=5,3[/tex]
Hope its Helpful!Answer: x = -3, -5
Step-by-step explanation:
Solve by Factoring
x^2 + 8x + 15 = 0
Factor x2 + 8x + 15 using the AC method.
Consider the form x2 + bx + c. Find a pair of i ntegers whose product is c and whose sum is b. In this case, whose product is 15 and whose sum is 8.
3, 5
Write the factored form using these integers.
(x + 3) (x + 5) = 0
If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.
x + 3 = 0
x + 5 = 0
Set x + 3 equal to 0 and solve for x.
Set x + 3 equal to 0.
x + 3 = 0
Subtract 3 from both sides of the equation.
x = −3
Set x + 5 equal to 0 and solve for x.
Set x + 5 equal to 0.
x + 5 = 0
Subtract 5 from both sides of the equation.
x = −5
The final solution is all the values that make (x + 3) (x + 5) = 0 true.
x = −3, −5
for a field trip a bus company charges a flat fee plus an additional fee per student. for 25 students, the total cost is $200, if there are 30 students, the total cost is $230. write an equation in point slope form,where y repersents a cost for any given number of x students
Answer: The answer is 8
Step-by-step explanation: 8 x 25 =200
PLEASE HELP!
which expression is equivalent to 4(3+5) - 3.9%?
C 1220-54
Answer: 30.752
Step-by-step explanation:
Use guess and check to solve for the unknown number.
The quotient of eighteen and a number is three. What is the number?
Which statements about the problem are true? Check all that apply.
This is a multiplication problem.
This is a division problem.
Multiply 18 by 3.
Divide 18 by different numbers until you get 3.
The quotient of eighteen and six is three.
The quotient of eighteen and fifty-four is three.
Answer:
This is a division problem.
Divide 18 by different numbers until you get 3.
The quotient of eighteen and six is three.
Step-by-step explanation:
help me plzz will mark brainliest
Answer:
[tex]x=7,\\y=6[/tex]
Step-by-step explanation:
The segment [tex]UV[/tex]consists of [tex]UZ[/tex] and [tex]VZ[/tex]. Therefore, we can write the following equation:
[tex]3y-5+2y+2=27,\\5y-3=27,\\5y=30,\\y=\fbox{$6$}[/tex].
Since [tex]UV[/tex] bisects [tex]TW[/tex], [tex]TZ\cong WZ[/tex].
Therefore,
[tex]3x+3=3y+6,\\3x+3=3(6)+6,\\3x+3=18+6,\\3x+3=24,\\3x=21,\\x=\fbox{$7$}[/tex]
Write an equation that described how many cups of milk, m, would be needed for b cups of blueberries. 6 cups of milk for 2 cups of blueberries
Answer:
6 x 2 = ?
6 x 2 = 1 2
Step-by-step explanation:
6 cups of milk and 2 cups of blueberries multiply them from each other and you get your answer .
I
Write an equation of the line passing through the point (2, 3) and
PERPENDICULAR to the line y = -2x + 2.
Answer:
y= 1/2 x +7
the slope is 1/2 since hwne it's perpendicular, it's reciprocal and the sign also changes
Step-by-step explanation:
3= -4 +b
b= 7
HELP
3. The density of an object can be found with this formula...
D = M/V
D = Density, M = Mass, and V = Volume
Choose the correct equation for an object that has...
Density = ?, Volume = 10cm, Mass = 500g
Explanation:
Density = Mass/Volume
D = M/V
D = 500/10
D = 50 grams per cubic cm
Your teacher should have written cm^3, cc, or cubic cm instead of just "cm" to represent the volume. The abbreviation "cc" stands for "cubic cm" which you may hear a lot in hospital settings when it comes to medicine dosages.
If (1/4)^2-y, =1 find the value of y
I need help pls help
Answer:
i do not know sorry :(
Step-by-step explanation:
