The value of 'x' or the length of the base of the triangle is [tex]\sqrt{141}[/tex] units.
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
We know, In right-angled triangle, the sum of the squares of the smaller two sides of a right-angle triangle is equal to the square of the largest side.
The given triangle has a hypotenuse of 25 units and a height of 22 units.
Therefore,
Hypotenuse² = Base² + Height².
Base² = Hypotenuse² - Height².
Base = [tex]\sqrt{Hypotenuse^2 - Height^2}[/tex].
Base = [tex]\sqrt{25^2 - 22^2}[/tex].
Base = [tex]\sqrt{625 - 484}[/tex].
Base = [tex]\sqrt{141}[/tex].
So, The length of the base is [tex]\sqrt{141}[/tex] units.
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Bobby was painting a sign that was 2 3/4 feet by 1 1/2 feet. Use the model to help find the area of the sign.
What was the area of the sign in square feet?
A. 4 1/4 square feet
B. 4 1/8 square feet
C. 3 1/4 square feet
D. 3 1/8 square feet
Answer:
4 1/8 square feet
Step-by-step explanation:
Area= l*b assuming that it's a rectangle or a square
2 3/4* 1 1/2= to do this we need to convert these mixed fractions to improper fractions (How to convert-Multiply the whole number part by the fraction's denominator. Add that to the numerator. Then write the result on top of the denominator.)
so, 2 3/4 converted will be- 11/4
& 1 1/2 converted will be- 3/2
11/4*3/2=33/8
Now we need to convert this into a mixed fraction again, coz the question was given in that form. (How to convert-Multiply the whole number part by the fraction's denominator. Add that to the numerator Then write the result on top of the denominator.)- so,
The ans would be 4 1/8 sqft
The diagram shows a triangle.
3a
95°
34°
What is the value of a?
If the sides of a triangle have the following lengths, find a range of possible values for x.
LM = 6x + 3, MN = 4x - 17, LN = x + 40
Answer:
The range of possible values of x are;
x > 6
Step-by-step explanation:
To form a triangle, the length of two sides must be greater than the third side
Thus;
6x + 3 + 4x-17 > x + 40
6x + 4x-14 > x + 40
10x-14 > x + 40
10x-x > 40 + 14
9x > 54
x > 54/9
x > 6
Which of the following equations have no solutions?
Answer:
A
Step-by-step explanation:
If the variable quantities are the same, but the constants are different, then that equation has no solutions.
what is π + e its easy
Answer:
5.85987448205
Step-by-step explanation:
Answer:
The answer is e+pi
Step-by-step explanation:
Hii can someone help me this is science I didn’t mean to put math and this is 6th grade work btw I’ll give you BRAINLIST if you want one no joke ! Please answer does 2 questions
Answer:
Lunar, and solar eclipse!
Step-by-step explanation:
This first one, is pretty easy! An easy way to remember it is solar is sun (both start with s), so lunar is moon!
The second one is solar eclipse, since the moon passes between the sun and earth, which causes the moon's shadow to fall on earth!
I hope this helps, and I'm here if you need anything else! <3
PLS HELP I BEG YOU ASAP! PLS Answer this! I only have 5 minutes PLS I BEG U!!!! I also the the price of each notebook hint:find the value of X
Answer: 2x+4=10
Step-by-step explanation:
because each notebook would cost $3 so 2 x 3 = 6 +4=10
Answer:
first
2x + 4 = 10
2x+4=10
2x+4=10
Solve
1
Subtract
4
4
4
from both sides of the equation
2
+
4
=
1
0
2x+4=10
2x+4=10
2
+
4
−
4
=
1
0
−
4
2x+4{\color{#c92786}{-4}}=10{\color{#c92786}{-4}}
2x+4−4=10−4
2
Simplify
Subtract the numbers
Subtract the numbers
2
=
6
2x=6
2x=6
3
Divide both sides of the equation by the same term
2
=
6
2x=6
2x=6
2
2
=
6
2
\frac{2x}{{\color{#c92786}{2}}}=\frac{6}{{\color{#c92786}{2}}}
22x=26
4
Simplify
Cancel terms that are in both the numerator and denominator
Divide the numbers
=
3
x=3
x=3
Solution
=
3
Second one
6 = 10
2
Simplify
Cancel terms that are in both the numerator and denominator
Divide the numbers
=
5
3
x=\frac{5}{3}
x=35
Solution = 5/3
i hope these help to figure out the third sorry its all messed up it wouldnt let me do another way
HELP PLEASE ITS MY LAST QUESTION!!
Jonathan and his band want to record and sell CDs. The recording studio charges an initial set-up fee of $250, and it charges $6.00 to burn each CD.
a) Define the variables:
Let n = _______
Let C = _______
Answer:
N=CD C=2-3 sentance
Step-by-step explanation:
I need help please #23
Answer:
24
Step-by-step explanation:
8%=8/100
& 8/100 of 60=4.8 ( "of" in mathematic means "multiply")
check if you get 4.8 by multiplying each of the given options by 1/5
1/5 0f 24=4.8
So 24 will be the ans
50 points!
Select the correct answer.
Which equation has an extraneous solution?
Answer:
C. Square root of x = -5
Step-by-step explanation:
Answer: c [tex]\sqrt{x} =-5[/tex]
Step-by-step explanation:
Algebra question
What is the solution to the following system?
(3, 1, 0)
(0, 1, 0)
(2, 1, 0)
(–2, 1, 0)
Answer:
C.(2,1,0)
Step-by-step explanation:
on edg
The solution to the following system is [tex](2,1,0)[/tex].
What is Algebra?Algebra is defined as the study of mathematical symbols and in which letters and symbols are used to represent numbers.
We have,
[tex]3x+3y+6z=9[/tex] [tex](i)[/tex]
[tex]x+3y+2z=5[/tex] [tex](ii)[/tex]
[tex]3x+12y+12z=18[/tex] [tex](iii)[/tex]
To find the solution to the above give algebraic equations,
We have to find values of [tex]x,y,z[/tex].
So,
We will be putting [tex]z=0[/tex] in equation [tex](i)[/tex],
[tex]3x+3y+6(0)=9[/tex]
[tex]3x+3y=9[/tex] [tex](iv)[/tex]
Now,
We will be putting [tex]z=0[/tex] in equation [tex](ii)[/tex],
[tex]x+3y+2(0)=5[/tex]
[tex]x+3y=5[/tex]
[tex]x=5-3y[/tex] [tex](v)[/tex]
Using equation [tex](iv)[/tex] & [tex](v)[/tex],
We get,
[tex]3(5-3y) +3y=9[/tex]
[tex]15-9y+3y=9[/tex]
[tex]-6y=-6[/tex]
[tex]y=1[/tex],
Now we have value of [tex]y=1[/tex], putting this value in equation [tex](v)[/tex],
[tex]x=5-3(1)[/tex]
[tex]x=2[/tex],
Hence, we can say that option [tex](2,1,0)[/tex] is the correct answer.
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Pleases help thank you
Answer:
my bad
The correct answer is C
Step-by-step explanation:
hopr it helps
have a great day
:)
URGENT!!!!!!!!!!!!!! help please!!!
HELP!!!! Please help me!!!
Answer:
The answer you have checked is the correct one.
What is the solution of the system of equations?
Help
Answer:
(0, 5)
Step-by-step explanation:
You are selling candy bars for a fundraiser. you want to sell at least $200. If snickers cost $2 per bar and M&M's cost $3 per bag, then write an inequality that represents all the possible combinations you can sell to meet your goal.
Answer:
Step-by-step explanation:
Goal = > $2500
Amount raised = $700
Amount needed to raise = $2500 - 700 = $1800
Number of candy bars needed = x
Price of a candy bar = $1.50
1.5x > 1800
x > 1800 ÷ 1.5
x > 1200
Answer: They need to sell more than 1200 candy bars.
WILL GIVE BRAINLIESt:
Given: ∆ABC, AC = 5
m∠C = 90°
m∠A = 22°
Find: Perimeter of ∆ABC
Perimeter of ΔABC is 12.41 units.
From the picture attached,
ΔABC is a right trianglem(AC) = 5 unitsm(∠C) = 90°m∠A = 22°Since, cosθ = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex] and sinθ = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
For angle A,
Adjacent side = AC = 5 units
Opposite side = BC
and Hypotenuse = AB
By substituting the values in the cosine ratio,
cos(22°) = [tex]\frac{5}{AB}[/tex]
AB = [tex]\frac{5}{\text{cos}(22^{\circ})}[/tex]
= 5.39
Since, sinθ = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
sin(22°) = [tex]\frac{BC}{5.39}[/tex]
BC = 5.39[sin(22°)]
= 2.02
Since perimeter of the given triangle ABC = AB + BC + AC
By substituting the measures of all sides in the expression of the perimeter,
Perimeter = 5.39 + 2.02 + 5
= 12.41 units.
Therefore, perimeter of the given triangle is 12.41 units.
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Makayla's car used 4 gallons to travel 148 miles. How many miles can the car go on one gallon of gas?
Answer:
34
Step-by-step explanation:
184 divided bye 4
Answer:
37 miles
Step-by-step explanation:
148/4
what is the slope of a line perpendicular to the line y=-1/4x-1
slope of line perpendicular to the line y=-1/4x-1 is 4.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
Let us write the given equation y=-1/4x-1
If we compare the given equation with slope intercept form
We get to know slope of line m is -1/4.
It two lines are perpendicular then the product of their slopes will be -1
-1/4×m=-1
m=4
Hence slope of line perpendicular to the line y=-1/4x-1 is 4.
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Jenny made 520 walnut biscuits. This is 40% of the total number of biscuits that she made. How many biscuits did she make in all?
she made 1300 biscuits
find all real values of $t$ that satisfy the equation $t^2 = 324$. the answer is 18.
Answer:
the real values that satisfy the equation are:
[tex]t=18,\:t=-18[/tex]
Step-by-step explanation:
Given the equation
$t² = 324$
Let us solve the equation
[tex]t^2=324[/tex]
[tex]\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]
[tex]t=\sqrt{324},\:t=-\sqrt{324}[/tex]
as
[tex]\sqrt{324}=18[/tex][tex]-\sqrt{324}=-18[/tex]
so
[tex]t=18,\:t=-18[/tex]
Thus, the real values that satisfy the equation are:
[tex]t=18,\:t=-18[/tex]
Ur account got ha ked again...
well...
ill let you see for
(repost forgot some) Netflix Recommendations??(WORTH 50 POINTS) Ive seen..
Riverdale
Ozarks
Outerbanks
Vampire Diaries
Legacies
CSI Miami
Chicago P.D.
Zoo
Insatible
Breaking Bad
Schitts Creek
Sex Ed
Grey's Anatomy
All American
Cobra Kai
Criminal Minds
Stranger Things
Selling Sunset
Answer:
The Office
Step-by-step explanation:
Write in slope intercept form given two points (1,2) and (-2,5)
Help needed asap
If 0
Answer:
umm... i need a problem or anything bud
Step-by-step explanation:
Consider the rectangle.
4
x+1
-
Which pair of expressions represents the area of the rectangle?
O 2(x + 1) + 2 (4) and 2x +9
O 2(x + 1) +2 (4) and 2x + 10
O 4(x + 1) and 4x + 1
O 4(x + 1) and 4x + 4
Answer:
[tex] \boxed{ \underline{ \underline { \bold{ \tt{4(x + 1) \: and \: 4x + 4}}}}}[/tex]
☯[tex] \underline{ \underline{ \text{Question}}} : [/tex]
☥ Which pair of expressions represents the area of the rectangle?
☐ 2(x + 1) + 2 (4) and 2x +9
☐ 2(x + 1) +2 (4) and 2x + 10
☐ 4(x + 1) and 4x + 1
☑ 4(x + 1) and 4x + 4
☪ [tex] \underline{ \text{Given :}}[/tex]
Length of a rectangle ( L ) = 4Breadth of a rectangle ( B ) = x + 1☪ [tex] \underline{ \text{To \: Find} : }[/tex]
Pair of expressions which represents the area of the given rectangle☪ [tex] \underline{ \text{Solution}} : [/tex]
❀ [tex] \underline{ \boxed{ \sf{Area \: of \: a \: rectangle = length \times breadth}}}[/tex]
↦ [tex] \sf{4 \times (x + 1)}[/tex]
↦ [tex] \boxed{ \sf{4(x + 1)}}[/tex]
Also , In 4 ( x + 1 ) , if we distribute 4 through the parentheses , it would be 4*x + 4*1 = [tex] \boxed{ \sf{4x + 4}}[/tex].
Hence , the right answer is of last option { i.e 4 ( x + 1 ) and 4x + 4 } .
And we're done !
Hope I helped!!
♡ Have a wonderful day / night ツ
~ [tex] \text{TheAnimeGirl}[/tex] ♪
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branlieeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeest
Answer:
A
You are looking for points on the x-y plane which satisfy the equation y = 5/2x + 3/2, and these point are all those that lie on the graph of the equation which are points (x,y) = (x, 5/2x + 3/2)
If you are looking at the other choices you could see that B only gives you 3 points and even if they are on the graph of y the choice cannot be the answer
D is the same like B
Choice C is just the whole of x-y plane so this cannot be the answer because not every point on the x-y plane is a Solution to y=5/2x+3/2
Kyle bought four boxes of cereal for $8.60. How much would 10 boxes of cereal cost
Answer:
$20.75
Step-by-step explanation:
The answer is $21.50
Explain:
$8.60 / 4 = $2.15
$2.15 x 10 = $21.50
Could I have brainliest?
The line graphed below has a slope of ____.
3
1/3
-3
Answer:
-3
Step-by-step explanation:
Hope this helps!
a=zm+z solve for m please help!!!!!
Answer:
(a-z)/z = m
Step-by-step explanation:
a = zm+z
Subtract z from each side
a-z = mz+z-z
a-z = mz
Divide by z
(a-z) /z = mz/z
(a-z)/z = m
This month, a marching band has 60 musicians. If the number of musicians in the band last month was 51 members, what percent of increase was this? (Round to the nearest percent)
Answer: Happy holidays!