Answer:
Shorter leg = 2.5 ft.
Longer leg = 6.5 ft.
Step-by-step explanation:
a^2 + b^2 = c^2
Because the hypotenuse = 7 ft, a^2 + b^2 = 49
To represent the two legs, we can use x and x+4.
x^2 + (x+4)^2 = 49
Simplifying this equation using FOIL gives us 2x^2 + 8x - 33 = 0.
Then, using the quadratic formula, we find that x = 2.5.
Thus, the shorter leg is 2.5 ft. and, when 4 is added, the longer leg is 6.5 ft.
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Jake has a wooden board that measures 8.25 feet long. He cuts the board into pieces that each measure 0.75 foot so he can make signs. If Jake earns $15.95 for each sign he sells, how much money can he earn from the signs he makes with this board?
Step-by-step explanation:
Answer:
Jake cuts the board into pieces that measure .75 feet each. Before cutting the board, it is 8.25 feet long. So, we must divide 8.25/.75 to find out how many pieces of board jake cut.
8.25/.75= 11 pieces
Since he makes $15.95 per sign, and there are 11 signs, we must multiply 15.95 by 11. This is equal to 175.45.
Therefore, jake can earn $175.45
Step-by-step explanation:
Can you give me brainliest?
The perimeter of a poster is 16 feet. The area is 15 square feet. What are the dimensions of the poster?
Keisha and Jen went out to eat for dinner their meal together were $45.76 they want to leave a 20% tip how much total
Answer:
I'm only guessing its $25.76 but just to classify you should probably ask
Find the value of x and y in the following diagram
Answer:
Below in bold.
Step-by-step explanation:
y = 40 degrees ( opposite angles)
The triangle on the left is isosceles so
2x + 2x + 40 = 180
4x = 140
x = 35 degrees.
2(x-3)< 8 or x+5> 6
Solve the compound inequality
Answer:
1 < x < 7
Step-by-step explanation:
1. Solve for 2(x - 3)
Step 1: Simplify both sides of the equation.
[tex](2)(x)+(2)(-3)<8[/tex] [tex]2x - 6 < 8[/tex]Step 2: Add 6 to both sides.
[tex]2x - 6 + 6< 8 + 6[/tex] [tex]2x < 14[/tex]Step 3: Divide both sides by 2.
[tex]\frac{2x}{2} <\frac{14}{2}[/tex] [tex]x< 7[/tex]2. Solve for x + 5 > 6
Step 1: Subtract 5 from both sides.
[tex]x + 5 - 5 > 6 - 5[/tex] [tex]x > 1[/tex]3. Now that we know x is more than one but less than 7, we can write the solution as this: 1 < x < 7.
Therefore, the answer is 1 < x < 7.
Answer: 1. Solve for 2(x - 3) Step 1: Simplify both sides of the equation. Step 2: Add 6 to both sides. Step 3: Divide both sides by 2. 2. Solve for x + 5 > 6. Step 1: Subtract 5 from both sides.
Step-by-step explanation:
The farmer has 1 1/2 acres of
land for planting crops. She
plans to divide the acreage into
2 equal crops of corn and
wheat. How much acreage will
she use for planting each crop?
Answer:
3/4 acre
Step-by-step explanation:
1 1/1 = 3/2
3/2 ÷ 2 = 3/2 × 1/2 = 3/4
help me with this math question WILL GIVE BRAINLIEST
Step-by-step explanation:
all such triangles inscribed into a circle with their baseline being the diameter of the circle, must be right-angled. the 90 degree angle is at C.
the other thing is that the sum of all angles in a triangle is always 180 degrees.
so,
B = 180 - 90 - 20 = 70 degrees
Help me guys here
NonSense Answer=Report
Can you pleas help me with this fraction?
Answer:
Your answer would be 2/10
Step-by-step explanation:
So first do -1/4 + 3/8 which is 0.125 in decimal form if you prefer to do decimal way
Next: 5/8 is 0.625
Finally: 0.125 divided by 0.625 is 0.2 which in fraction form is 2/10
Hope this helped
All the people of a neighborhood pooled together and won the lottery. They won $10,000,000 and each person got a 0.02 share. How much money did each person receive?
Answer:
$200,000
Step-by-step explanation:
They all won $10,000,000 and
each person got a 0.02 share of the $10,000,000
Each person received
10,000,000*0.02 = $200,000
how long does it take for 100 hens to lay 100 eggs if 5 hens are known to lay 5 eggs in 5 minutes?
Answer:
100 mins/ 1 hour 40 mins
Step-by-step explanation:
if 5 hens are known to lay 5 eggs then each hen lays 1 egg a minute
so multiply 1 by 100
and 100 time 1 equals 100
An item costs 490before tax, and the sales tax is39.20 .
Find the sales tax rate. Write your answer as a percentage.
Answer:
8% is the sales tax rate
Step-by-step explanation:
I'm not the best with math but the way I found the answer was by first using my local sales tax rate and determining how much the tax would be.
490 * 8.75% = 42.875
Knowing that this amount was higher than in the equation, I lowered the sales tax to 8% (0.08)
490 * 8% = 39.2
Hope this was somewhat helpful
Find the coordinates of point) along the directed segment AB that partitions it so that the ratio of AP to PB is 1:2. NO LINKS OR ASSESSMENT!!!!
Answer: (1, 3)
Step-by-step explanation:
There are two ways to solve this problem, 1 without the pythagorean theorem, and 1 with it. For the sake of simplicity, I will solve it without the pythagorean theorem.
As is visually evident from the graph, the line segment spans 6 units horizontally, and 3 units vertically. Because the ratio between AP and PB is 1:2, simply divide both the domain and range by 3, to get 2 horizontally, and 1 vertically.
Then, simply go to point A and respectively add and subtract the horizontal and vertical values to get point A(-1, 4) --> P(1,3)
Hope it helps, and let me know if you want me to solve it an alternate way or go more in depth as to the way it is know.
Answer:
P(1, 3)Step-by-step explanation:
Coordinates of A and B:
A(-1, 4), B(5, 1)The partition ratio:
AP/PB = 1/2Coordinates of P are:
x = -1 + 1/3(5 - (-1)) = -1 + 6/3 = 1y = 4 + 1/3(1 - 4) = 4 - 3/3 = 3Will give brainliest answer
Answer:
first most option is the answer
Answer:ok A is the correct answer for this test I did this plz trust me give brainpower plz
Step-by-step explanation:
Help please i just wanna pass
3. Find the slope of the line passing through the points (-4,-8) and (2,-8)
2. Find the slope of the line passing through the points(6,6) and (6,-4)
Answer:
2. undefined
3. 0
Step-by-step explanation:
Formula : -
Slope = ( y2 - y1 ) / ( x2 - x1 )
3.
( x1, y1 ) = ( - 4, - 8 )
Here,
x1 = - 4
y1 = - 8
( x2, y2 ) = ( 2, - 8 )
Here,
x2 = 2
y2 = - 8
Slope = ( - 8 - ( - 8 ) ) / ( 2 - ( - 4 ) )
= ( - 8 + 8 ) / ( 2 + 4 )
= 0 / 6
Slope = 0
2.
( x1, y1 ) = ( 6, 6 )
Here,
x1 = 6
y1 = 6
( x2, y2 ) = ( 6, - 4 )
Here,
x2 = 6
y2 = - 4
Slope = ( - 4 - 6 ) / ( 6 - 6 )
= - 10 / 0
Slope = not defined
Note : -
Any number who denominator is 0 is undefined.
Please help me to làm bài
Answer
Xét f'(x)=0, tìm các giá trị x, lập bảng biến thiên
Đồ thị:
Step-by-step explanation:
Someone pls help- am struggling.
500 = 400 + 50s. Therefore, Bart can buy 2 pairs of shoes.
=============================================================
Explanation:
s = number of pairs of shoes
50s = amount spent on shoes ($50 per pair)
50s+400 = total amount spent on shoes and uniforms
That expression is the same as 400+50s because we can add numbers in any order we want. Set this equal to the $500 he started with to get the equation 500 = 400 + 50s
We have enough info to determine the answer must be choice B
We can stop here if you wanted.
----------
Let's solve that equation for s
500 = 400 + 50s
400 + 50s = 500
50s = 500-400 .... subtract 400 from both sides
50s = 100
s = 100/50 .... divide both sides by 50
s = 2
This means he can buy 2 pairs of shoes.
Buying the shoes only will cost 50s = 50*2 = 100 dollars, which on top of the $400 for the uniforms, leads to a grand total of 400+50s = 400+100 = 500 dollars. This helps confirm we have the correct value for s.
B
Acellus
16 m
С
А
20 m
Find the area of AABC.
[?] m
Enter
Answer:
area of triangle = 1/2×base×height
=1/2×20m×6m
= 20m×6m=120square metre
- 4. What is the roster form of the set K = {x/x are odd numbers from 2 to 8} ? A. H = {2, 4, 6, 8} C. H = {3, 4, 5, 6, 7} B. H = {3, 5, 7} D. H = {2,8} 1 2 3 ? Which method for theiva CIV & CLUJ -
Explanation:
We simply list any odd number that is between 2 and 8. The term "roster form" can be thought of as listing the roster of a sports team (eg: baseball). So instead of describing what the numbers look like, we list out the numbers themselves. Those numbers being 3, 5 and 7.
Something like {2,4,6,8} is ruled out because we're dealing with odd numbers only.
When a 3-digit number is rounded to the nearest ten and the nearest hundred, the difference is 50. What is the number?
Answer: 150?
Step-by-step explanation:
150 -> 200 200-150=50
150-> 150 200-150=50
HELP ASAP A vector starts at point (-3, 4) and ends at point (6, -3). What is the magnitude of the vector? Answer to two decimal places.
The magnitude of the vector to two decimal places is 11.40 units
The formula for calculating the magnitude of the vector is expressed as:
[tex]D=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2 }[/tex]
Given the coordinate points (-3, 4) and (6, -3)
[tex]D=\sqrt{(-3-4)^2+(6+3)^2 }\\D=\sqrt{(-7)^2+9^2}\\D=\sqrt{49+81}\\D=\sqrt{130}\\D= 11.40[/tex]
Hence the magnitude of the vector to two decimal places is 11.40 units
Learn more here: https://brainly.com/question/20759497
which of the following expressions to 36x + 24y? choose all that apply.
6x (6+4y)
6(6x + 4y)
12(36x + 24y)
12(3x + 2y)
4y(9x + 6)
4(9x + 6y)
6(6x + 4y)
12(3x + 2y)
4(9x + 6y)
Claire's suitcase weighs 15 pounds less than her older sisters.
Together the suitcases weigh 109 pounds. How many pounds does
Claire's older sister's suitcase weigh?
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let H be the altitude from vertex C. Which proves the first equality in the law of sines
The sine law of triangles can be proved by dividing the triangle into right-triangles.
Option (c) proves the first equality in the law of sines
From the question, we have:
h equals to the distance from point C to segment AB
The sine of angle is:
[tex]\mathbf{sin(\theta) = \frac{Opposite}{Hypotenuse}}[/tex]
For angle at A, we have:
[tex]\mathbe{\theta = A}[/tex]
[tex]\mathbf{Hypotenuse = b}\\\mathbf{Opposite = h}[/tex]
So, we have:
[tex]\mathbf{sin(\theta) = \frac{Opposite}{Hypotenuse}}[/tex]
Substitute values for Opposite, Hypotenuse and theta
[tex]\mathbf{sin A = \frac{h}{b}}[/tex]
Similarly
[tex]\mathbf{sin B = \frac{h}{a}}[/tex]
Make h the subject
[tex]\mathbf{h = a\ sinB}[/tex]
Substitute [tex]\mathbf{h = a\ sinB}[/tex] in [tex]\mathbf{sin A = \frac{h}{b}}[/tex]
[tex]\mathbf{sin A = \frac{a\ sinB}{b}}[/tex]
Divide both sides by a
[tex]\mathbf{\frac{sin A}{a} = \frac{sinB}{b}}[/tex]
Hence, the correct option is (c).
Read more about proof of sine law at:
https://brainly.com/question/4637169
SHOW YOUR WORK. Algebra question. 100 POINTS. Easy
Answer:
x = 3/2Step-by-step explanation:
Add up the given equations t eliminate y and solve for x:
3x + 2y + 3x - 2y = 4 + 56x = 9x = 9/6x = 3/2Your choice is correct
1. How much of a difference is there, in interest, between an investment of $899 with simple interest of 5% and an investment of $499 with a simple interest of 9%, both for a six year term?
2. What balance will you have in your account, in 8 years, if you invest $4000 at 3.5% compounded quarterly?
3. Gina deposited $1500 in an account that pays 11% interest compounded monthly. What will the balance be in 5 years?
4. You invested $4,400 for 2 years at 7.3% compounded semianually. What is your total balance after 12 years?
5. You want to buy a new motorcycle so you borrow $14,200 for 5 years at an interest rate of 13% and it’s compounded daily. How much interest will you have paid after the 5 year term has ended?
The graph of y=f(x) is shown.
Please answer, will mark BRAINELIST!
Answer:
attached
Step-by-step explanation:
Answer:
Turning point coordinates: (1,4)
Roots: -1, 3
y = - (x - 1)^2 + 4
Step-by-step explanation:
Product quantity is 560 products, average weight is 120g, knife level movement is 20g. Ask how many products in the range (100; 140g)
Answer:
Step-by-step explanation:
120 +-20 =(100 ; 140) -> X±k*σ= 100 =>k=1
According to Chebyshev, approximately 66.67% of the data lie within one standard deviation of the mean
->66.67%*560 = 373 products in (100;140)
