Answer: 5 in.
Step-by-step explanation:
Given
The area of the square is [tex]75\ in.^2[/tex]
The side length of the square is [tex]a\sqrt{3}[/tex]
Area of square[tex]=(\text{length})^2[/tex]
[tex]\therefore 75=(a\sqrt{3})^2\\\Rightarrow 75=3a^2\\\Rightarrow a^2=25\\\Rightarrow a=5\ in.[/tex]
Thus, value of a is 5 inch
Write a true equation based on this diagram
28.4 grams = ? ounces
please help me and no links this is due in 10 mins ill give you the crown
Answer:
angle Q is 68°
angle R is 112°
Find an expression to represent the perimeter of the triangle below.
The perimeter of a triangle is (x+10)/(x+3) units.
What is the perimeter?The perimeter of a shape is defined as the total distance around the shape. It is the length of the outline or boundary of any two-dimensional geometric shape. The perimeter of different figures can be equal in measure depending upon the dimensions.
The sides of given triangle are 2/(x-3), (x²-21)/(x²-9) and 5/(x+3).
Perimeter = 2/(x-3) + (x²-21)/(x²-9) + 5/(x+3)
= 2(x+3)/(x²-9) + (x²-21)/(x²-9) + 5(x-3)/(x²-9)
= (2x+6+x²-21+5x-15)/(x²-9)
= (x²+7x-30)/(x²-9)
= (x²+10x-3x-30)/(x²-9)
= (x(x+10)-3(x+10)/((x-3)(x+3))
= ((x+10)(x-3))/((x-3)(x+3))
= (x+10)/(x+3)
Therefore, the perimeter of a triangle is (x+10)/(x+3) units.
To learn more about the perimeter visit:
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Find the x and y intercept of y=0.5x^2-3x.
Step-by-step explanation:
i don't have a step by step explanation so here you go the answer
Help! The picture is with it to see the question
Answer:
8
Step-by-step explanation:
sqrt8*sqrt8 = sqrt8^2 = 8
solve for x . Leave your answer in the simplest form
Hello!
Here we are given a composite shape, meaning that we can divide this shape up into ways that we are given formulas to solve for legs and such.
I can see here that this can be divided into a triangle and a rectangle using a horizontal line.
The leg lengths of this triangle would be 9, because it is congruent to the bottom side of the rectangle, and 7, because it is the left side minus the right side.
This would also make a right triangle, meaning we could solve for the hypotenuse utilizing the Pythagorean Theorem.
[tex]a^2+b^2=c^2[/tex]
[tex]6^2+7^2=c^2[/tex]
[tex]36+49=c^2[/tex]
[tex]c^2=85[/tex]
[tex]c=\sqrt{85}[/tex]
Which is in simplest radical form.
Hope this helps!
The volume, V, of any cube with side length, s, can be determined using the formula V = s3 . What is the volume, in cubic centimeters, of a cube with a side length of 0.2 centimeters?
A
3.2
B
0.6
C
0.006
D
0.008
Mrs. Kirsch went shopping at a department store. The store is having a sale, discounting all items by 30% off the marked price. She decides to buy an item originally marked $85.95. She also had to pay 6% sales tax. What is the sales tax on the item? What is the final cost (sale price plus tax) of her purchase?
Answer:
63.76
Step-by-step explanation:
85.95-30% 60.16
60.16+6% 63.76
What is the slope of the line through ( 10, 1) and (0,4)?
khan Academy
Answer:
-1/2
Step-by-step explanation:
[tex]y^{2} = -4 \\y^{1} =-1\\x^{2} = 0\\x^{1} = -10[/tex]
Using the formula [tex]\frac{y^{2}-y^{1} }{x^{2}-x^{1} }[/tex]
[tex]\frac{-4-1}{0-(-10)}[/tex]
Simplifly
[tex]\frac{-5}{10} = \frac{-1}{2}[/tex]
8) The total weight of 15 boxes is 45 pounds. How much would 40 boxes weigh?
Answer:
120 pounds I think
Step-by-step explanation:
Answer:
120 pounds
Step-by-step explanation:
[tex]\frac{15}{45}[/tex] = [tex]\frac{40}{x}[/tex] so then you would cross multiply : 15x=40 times 45
and then solve: 15x= 1800
x= 120
Solve.
Pls need help
Answer: try C
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
It's c because you multiply 3 1/8 by 3 and 3 1/4 by 4 and 3 1/2 by 1.
The function f(x) = 6x + 8 is transformed to function g through a horizontal stretch by a factor of 5. What is the equation of function g? Replace the values of a and k in the function equation
Answer:
[tex]g(x) = \frac{6}{5}x + 8[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 6x + 8[/tex]
[tex]k = 5[/tex] --- horizontal stretch factor
Required
Find g(x)
When a function is stretched horizontally by k, the resulting function will be:
Rule: [tex]g(x) = f(\frac{1}{k}x)[/tex]
So, we have:
[tex]g(x) = f(\frac{1}{5}x)[/tex]
Solve for: [tex]f(\frac{1}{5}x)[/tex]
[tex]f(\frac{1}{5}x) = 6 * \frac{1}{5}x + 8[/tex]
[tex]f(\frac{1}{5}x) = \frac{6}{5}x + 8[/tex]
Recall that:
[tex]g(x) = f(\frac{1}{5}x)[/tex]
[tex]g(x) = \frac{6}{5}x + 8[/tex]
Answer:
f(1/5x) = 6 ^1/5x +8
Step-by-step explanation:
A horizontal stretch by a factor of 5 means that the input, or x, is multiplied by : 1/5
A cylindrical container has a radius of 7 feet and a height of 2 feet. What is the volume of the container to the NEAREST WHOLE FOOT?
Answer:
308 feet ^3
Step-by-step explanation:
Volume of a cylinder: V=πr^2h
Substituting radius = 7 and height = 2:
V = π (7)^2 (2) = 307.88 ~= 308 feet ^3
please help me, I lost my answer
help!! tell whether the triangle is a right triangle- i don’t need an explanation thank you!!
Answer:
1.) Right triangle
2.) Not right triangle
3.) Not right triangle
4.) Not right triangle
5.) Right triangle
6.) Right triangle
Step-by-step explanation:
The ones that are a right triangle have at least one angle that has an L shape
ill give brainiest - please help ASAP with WORK FOR IT please and thank you!! :)
3 pages, with work pleasee
Answer:
isosceles trapezoidtrapezoidrhombussquarerectangleparllelogramquadrilateral10x+18+62=180 co interior angle10x=180-80
x=100/10=10
:.x=10
9.
8x+2=7x+14 corresponding angle of parallelogram are equal
8x-7x=14-2
x=12
10.
4x+4=5x+1 corresponding sides of parallelogram are equal
4-1=5x-4x
x=3
11.
4+3x=19corresponding sides of parallelogram are equal
3x=19-4
x=15/3
x=5
HELP PLEASE Quadratic Equations Math Nation
Answer:
its 5/6
Step-by-step explanation:
we just group things around and we have this
36 m^2 - 60 m = -25
Alternate forms:
12 m (3 m - 5) = -25
36 m^2 - 60 m + 25 = 0
Solution:
m = 5/6
BRAINLIEST-
Find the volume of the figure
Answer:
4080cm²
Step-by-step explanation:
PLSSSS DO NOT GIVE ME FILES
Read the sentences.
Some people train by climbing and swimming. Others train with running, biking, and weightlifting.
Select the sentence that correctly combines these sentences using semicolons.
Some people train by climbing and swimming, others train with running; biking; and weightlifting.
Some people; train by climbing and swimming, others train with running, biking, and weightlifting.
Some people train by climbing and swimming; others train with running; biking; and weightlifting.
Some people train by climbing and swimming; others train with running, biking, and weightlifting.
Question 6
Determine if the question posed is a statistical question (yes) or not (no).
Which tree is the tallest in the park?
Answer:
Yes this is a statistical question because of how they want to measure the tress to find out how tall are all of them and then to find out which is the tallest.
Can someone please help me with math.
Answer:
the answer to the questions are c,b,a
HELP ME PLEASEEEEEEE I WILL GIVE BRAINLIEST PLZ HELP PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ
Answer:
pretty simple, you should get 1824
Step-by-step explanation:
first find area of square, you should get 1536 in^2. Then triangle, the formula is base times height divided by 2. lmk if you need more help
Can someone please help me with this and if able to explain how I work it out please
Answer:
4 = [tex]\sqrt{15[/tex]
Step-by-step explanation:
The diagram shows a right-angled triangle.
All the measurements are in centimetres.
The area of the triangle is 18cm^2
Work out the length of the shortest side of the triangle.You must show all your working
Answer:
short side = 4
Step-by-step explanation:
area = 1/2BH
18 = 1/2(x - 1)(x + 4)
18 = 1/2(x² + 4x - x - 4)
multiply both sides of the equation by 2:
36 = x² + 3x - 4
x² + 3x - 40 = 0
(x + 8)(x - 5) = 0
x = 5
short side = 5 - 1 = 4
The shortest length of the right angled triangle is 4 cm.
Area of a triangle:area = 1 / 2 bhwhere
b = base
h = height
Therefore,
area = 18 cm²
18 = [tex]\frac{1}{2}[/tex] × (x - 1)(x + 4)
36 = (x - 1)(x + 4)
x² + 4x - x - 4 = 36
x² + 3x - 4 = 36
x² + 3x - 4 - 36 = 0
x² + 3x - 40 = 0
x² - 5x + 8x - 40 = 0
x(x - 5) + 8(x - 5) = 0
(x + 8)(x - 5) = 0
x = -8 or 5
we can only use positive numbers.
Therefore,
x = 5
The shortest sides is definitely one of the 2 legs . The hypotenuse of a triangle is the longest side.
Therefore,
h = x - 1 = 5 - 1 = 4 cm
b = x + 4 = 5 + 4 = 9 cm
learn more on right angled triangle here: https://brainly.com/question/2292567?referrer=searchResults
16. The boys' soccer to a bouchoccer ball conoccer balls for $391. If the team bought a total of 17
soccer balls, how much did each soccer ball cost?
A. $21
B. $23
C. $374
D. $408
Answer:
The answer is B $23.
Step-by-step explanation:
You take 391 and divide it by 17
391/17=23
Hope this helps!
I will give you BRAINLIEST for the correct answer
Answer:
48 in³
Step-by-step explanation:
volume=length*breadth*height
=12*2*2
b. Calculate the slope. (-9,-6) and (-6,-4)
Answer:
slope = 2/3
Step-by-step explanation:
If a triangle with the angles of 72 degrees, 62 degrees, and 46 degrees and one of the side lengths is 40, what would the length of the other two side be?
Answer:
The length of the other two sides are: 43.09 and 32.60
Step-by-step explanation:
Let the given side of the triangle be b(= 40), and the angles be;
A = [tex]72^{o}[/tex], B = [tex]62^{o}[/tex]and C = [tex]46^{o}[/tex].
Applying the Sine rule,
[tex]\frac{a}{SinA}[/tex] = [tex]\frac{b}{SinB}[/tex] = [tex]\frac{c}{Sin C}[/tex]
So that,
[tex]\frac{a}{SinA}[/tex] = [tex]\frac{b}{SinB}[/tex]
[tex]\frac{a}{Sin 72}[/tex] = [tex]\frac{40}{Sin62}[/tex]
a = [tex]\frac{0.9511*40}{0.8829}[/tex]
= 43.0898
a = 43.09
Also,
[tex]\frac{b}{SinB}[/tex] = [tex]\frac{c}{Sin C}[/tex]
[tex]\frac{40}{Sin62}[/tex] = [tex]\frac{c}{Sin46}[/tex]
c = [tex]\frac{0.7193*40}{0.8829}[/tex]
= 32.5881
c = 32.60
The length of the other two sides are: 43.09 and 32.60
Plz help me ........
Step-by-step explanation:
6x + 3x = 180
9x = 180
x = 20
m<SVW= 3(20) = 60 degrees