Answers
The length of base of the triangle is given by BC = 7 feet
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
if a² + b² = c² , it is a right triangle
if a² + b² < c² , it is an obtuse triangle
if a² + b² > c² , it is an acute triangle
Given data ,
Let the triangle be represented as ΔABC
Now , the base of the triangle BC = a
Let the hypotenuse of the triangle be c = 25 feet
Let the height of the triangle be b = 24 feet
And , For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
So , the base BC = √ ( 25 )² - ( 24 )²
The base of the triangle BC = √ ( 625 - 576 )
The base of the triangle BC = √ ( 49 )
The base of the triangle BC = 7 feet
Hence , the length of base of triangle is 7 feet
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Related Questions
Three of seven students ate apples for lunch. What is the
ratio of students who ate apples for lunch to students who
did not eat apples for lunch?
Answers
Answer:
3:4 would be the answer
Step-by-step explanation:
you're welcome
Two siblings set up a lemonade stand. Each half hour, the siblings record the number of cars, X, that pass by and the total amount of lemonade sales, in
dollars, y. The scatter plot shows the results,
Answers
simplify 10x -(-7+6x)
Answers
The required simplified expression of the given expression 10x -(-7+6x) is 4x - 7.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
To simplify the expression 10x -(-7+6x), we can apply the distributive property of multiplication over addition and simplify the expression inside the brackets first.
-(-7+6x) = -1×(-7) + (-1)×6x
= 7 - 6x
Substituting this result into the original expression gives:
10x -(-7+6x) = 10x + 7 - 6x
Now we can combine like terms by adding the x terms and the constant terms separately:
= (10x - 6x) + 7
= 4x - 7
Therefore, 10x -(-7+6x) simplifies to 4x - 7.
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Elena and Max used to rectangular wooden boards to make a set for the school play one board was 6 ft long and the other was 5 and 1/2 ft long the two boards had equal width the total area of the set was 60 and 3/8 square feet what was the width
Answers
Answer:the width is 5 1/4 ft
Step-by-step explanation:
Step 1
The area of a rectangle is given as Length x width
Therefore the area of the rectangular board = Length x width
The length of the first board =6ft
The length of the second board =5 1/2 ft (5.5ft) with both having a total area of 60 3/8 (60.375ft²). To find the width of the boards since both have equal width, we use the equation
Length x width of board A + Length x width of board B= area of board A and Board B
6w + 5.5w =60.375
Step 2---- Solving the equation
6w + 5.5w =60.375
11.5w = 60.375
w = 60.375/11.5
w= 5.25
Therefore the width of the two boards are 5.25 ft / 5 and 1/4 ft each
The graph of the equation y = 1 x + 2 is displayed.
Which equations would intersect the orange line at the
y-intercept? Check all that apply.
Answers
Answer:
A. y = 7x + 2
C. y = 2 - ⁷/3x
D. y - 2 = 4x
Step-by-step explanation:
The equation of any line that would intersect the orange line at the y-intercept, 2, would have the same y-intercept value of 2.
Thus, from the options given, the following equations has y-intercept (b) of 2.
A. y = 7x + 2
C. y = 2 - ⁷/3x
D. y - 2 = 4x
All three equations have a y-intercept value, b, of 2.
Note: option D, y - 2 = 4x, can be rewritten as y = 4x + 2.
Answer: A/C/D
Step-by-step explanation: A. y = 7x + 2
C. y = 2 - ⁷/3x
D. y - 2 = 4x
Which graph shows a proportional relationship that passes through the point (2, 1)?
A.
B.
C.
D.
Answers
The graph that shows a proportional relationship that passes through the point (2, 1) is Graph A.
Equation of a lineA line is defined as a shortest distance between two points. In order to determine the graph that shows a proportional relationship that passes through the point (2, 1), we will need to multiply the coordinate by a scale factor and determine whether the point is on the line.
Using a factor of 2;
New coordinate = 2(2, 1)
New coordinate = (4, 2)
From the given graph, you can see that the only graph that has the coordinate point (4, 2) is the Graph A.
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Nevaeh's car used 11 gallons to travel 352 miles. At what rate does the car use gas, in
miles per gallon?
Answers
Answer:
32
Step-by-step explanation:
divide 352 by 11
The required rate for Nevaeh's car uses 32 miles per gallon of gas.
What are Arithmetic operations?Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operations is called the arithmetic operator.
/ Division operation: Divides left-hand operand by right-hand operand
For example 4/2 = 2
The required rate of car use gas is the ratio of the total distance traveled by car to the number of used gallons for the car to reach its destination.
Here total distance traveled by car = 352 miles
And the number of used gallons = 11
the car uses gas = 352 miles / 11 gallons
the car uses gas = 32 miles per gallon
Therefore, the required rate for his car uses 32 miles per gallon of gas.
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Hey I need help
solve: (2 to the power of 4) - 6 divided by 2.
Answers
Answer:
13
Step-by-step explanation:
2 to the power of 4 - 6 divided 2
16 - 6 divided by 2
16 - 3
13
Answer: 13
Step-by-step explanation:
2 to the power of 4 =
16 - 6/2 = 16 - 3 = 13
A set of 6 water bottles are sold for 12. What is the unit cost per water bottle?
Answers
$2.00 US Dollars is the answer
Currently James has $600 in his bank account, while Lisa has $500 in hers.
Every Friday afternoon James withdraws $15. At the same time Lisa withdraws $12 knowing that she can't spend as much as James.
Will their account balances ever be equal? If they are ever equal, how many weeks will it take?
Answers
Answer:
Their account balances will never be equal.
Step-by-step explanation:
I basically ran the math. 500 minus 12 times anything from 1-40 cannot equal 600 minus 15 times anything from 1-40. When we come to 600 - (15*40) we get zero.
HELP ME!WILL GIVE BRAINLIEST
Answers
Write the coordinates of the vertices after a reflection over the line y = 1.
Answers
*tuff scrolls
*looks at other hard things
The table below shows the number of pencils and pens three friends have in their backpacks.
Who has a greater ratio of pencils to pens?
A. Lydia
B . Angel
C . Elizabeth
Answers
Answer:
Angel has a greater ratio of pencils to pens.
i.e. Angle's pencils to pens = 3 / 2 or 63/42
Thus, option (B) is true.
Step-by-step explanation:
Considering the table
Lydia's Number of Pencils = 10
Lydia's Number of Pens = 7
Lydia's Pencils to Pens ratio = 10/7
Angel's Number of Pencils = 9
Angel's Number of Pens = 6
Angels's Pencils to Pens ratio = 9/6 = 3 / 2
Elizabeth's Number of Pencils = 12
Elizabeth's Number of Pens = 9
Elizabeth's Pencils to Pens ratio = 12/9 = 4 / 3
So, We get the inputs ratios such as:
Lydia's ratio: Angels's ratio: Elizabeth's ratio
10/7 : 3 / 2 : 4 / 3
As the least common denominator (LCD) is: 42
Rewriting as equivalent fractions with the LCD:
10/7 : 3 / 2 : 4 / 3
60 / 42 : 63/42 : 56/42
Sorting from least to greatest:
Sorting this table by the numerators of the equivalent fractions in order from least to greatest:
Elizabeth's ratio : Lydia's ratio : Angels's ratio:
4/3 : 10 /7 : 3 / 2
56/42 : 60 / 42 : 63/42
Therefore, Angel has a greater ratio of pencils to pens.
i.e. Angle's pencils to pens = 3 / 2 or 63/42
Thus, option (B) is true.
Write y= -1(x-4.5)^2 + 15.25 in standered form
Answers
Given:
The equation is
[tex]y=-1(x-4.5)^2+15.25[/tex]
To find:
The standard form of the given equation.
Solution:
We have,
[tex]y=-1(x-4.5)^2+15.25[/tex]
It is a quadratic equation.
The standard form of a quadratic equation is [tex]y=ax^2+bx+c[/tex]. So, we need to write the given equation in this form.
[tex]y=-(x-4.5)^2+15.25[/tex]
[tex]y=-[x^2-2(x)(4.5)+(-4.5)^2]+15.25[/tex] [tex][\because (a-b)^2=a^2-2ab+b^2][/tex]
[tex]y=-[x^2-9x+20.25]+15.25[/tex]
[tex]y=-x^2+9x-20.25+15.25[/tex]
[tex]y=-x^2+9x-5[/tex]
Therefore, the required equation in standard form is [tex]y=-x^2+9x-5[/tex].
Write an equation for the line with slope -5 and point (2,4).
Answers
Plug in the point
4 = -5(2) + b
4 = -10 + b, b = 14
Solution: y = -5x + 14
Please very urgent please give me a correct answer!
Answers
Answer:
20%, 40%, 60%, 80%
Step-by-step explanation:
0 to 1/10 to 2/10 to 3/10 to 4/10 to 5/10 to 6/10 to 7/10 to 8/10 to 9/10 then to 1.
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Answers
Answer:
square root 8
Step-by-step explanation:
trust bro
help please , I’ll give brainliest.
Answers
Answer:5 N to the left
Step-by-step explanation:
Answer:
The Net Force is the difference of force. In this case
10N to the left - 5 N to the right = 5N to the left
What is 5% of 40?
1
2
8
4
Answers
Answer:
The answer to your question is 2
Given: -5x+2/7=-4; Prove: x=6
need to fill out a chart (picture provided) of the statements and reasons for this equation.
Answers
been stuck on this for a bit
Answers
m = 3-(-3). -8-(8)
=6 = -16
m = 6/-16
= -2/8
hello ppl from my school who also dont know this
Answers
Answer:
They both intersect at C. (-4,-2)
Step-by-step explanation:
The solutions are base on where they cross or intersect
Answer this question and ill give out brainliest
Gimme a reason
Answers
Answer:
A rift valley is forming.
Step-by-step explanation:
Both of the tectonic plates are moving away from eachother. That will cause a rift between the two plates.
4(x - 1) + 3 - 2 ÷ 2
Answers
Answer:
no solution with given parts of equation
Step-by-step explanation:
4(x-1)+3-2/2=n
4(x+1)+3-1=n
4(x+1)+2=n
4x+4+2=n
4x+6=n
Alternatively:
Slope = 4
x-intercept = -1.5
n-intercept = 6
Answer:
If you're looking for a simplified answer it would be: 4x-2
Step-by-step explanation:
PLEASE HELP ME ASAP IMDOING FINALS
Answers
4 is corresponding to line DE
3 is corresponding to 9
A television that costs $500 is marked up 250%. What is the new price if the television?
Answers
Answer:1,750
Step-by-step explanation:
sorry if im wrong I tried
In the figure below, ray MP and ray MQ both intersect line LN.
Answers
Answer:
x = 20°
Step-by-step explanation:
Lines and Angles
Rays PM and MQ divide the straight-line LN angle of 180° into three angles: 45°, 6x-5, and x.
Thus, we have:
45 + 6x - 5 + x = 180
Simplifying:
40 + 7x = 180
Subtracting 40:
7x = 180 - 40
7x = 140
Dividing by 7:
x = 140/7 = 20
x = 20°
a new pair of shoes for 60% off. what expression represents the total cost
Answers
Answer:
What was the origainal price?
Step-by-step explanation:
I am kind of confused.
Answers
hope that helps!
The function f(x) is defined below. What is the end behavior of f(x)?
f(x)=123x^3+9x^4-768x-3x^5-189x^2+1260
Answers
Answer:
Rises to the left and falls to the right
Step-by-step explanation:
Use the degree and the leading coefficient to determine the behavior.
The end behavior will be as x approaches infinity, and negative infinity, f(x) approaches infinity.
What is a function?
Function is a type of relation, or rule, that maps one input to specific single output.
The function f(x) is defined as;
f(x)= 123x³+9[tex]x^4[/tex] - 768x - 3[tex]x^5[/tex] - 189x² + 1260
WE need the degree and the leading coefficient to determine the behavior.
Since our leading coeffeicent has a leading even degree of 5, and a positive number,
The function will Rises to the left and falls to the right.
The end behavior will be as x approaches infinity, and negative infinity, f(x) approaches infinity.
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