Answer: 54
Step-by-step explanation:
Since the triangles are similar, the sides form s equalivent proportion. The hypotunse of the bigger triangle and the smaller triangles correspond with each other and the base of the smaller and larger triangle correspond so we use this proportion: hypo. of big triangle/ base of larger triangle= hypo of smaller triangle/ base of smaller triangle.
Let substitue: 52.5/x= 5/4: ( I Reduce 15/12 into 5/4).Cross multiply: 210=5x: Divide by 5 both sides. x=42. Then add the 42 and and the 12 to find the whole distance which is 54.
What is the value of the square root of 2 to the third decimal place?
Answer:
1.414
Step-by-step explanation:
In how many different ways can you answer a multiple cholce test that has 5 questions and 3 choices for each answer?
a) 243
b) 125
c) 15
Answer:
243
Step-by-step explanation:
3*3*3*3*3
I need help with this.
Answer:
D=4
C=12.56
Step-by-step explanation:
D=2r
d=2×2
D=4
C=pi ×D
C=3.14×4
C=12.56
A 270 inch board is cut into two pieces one piece is 4 times the length of the other, find the length of the shorter piece
Answer:
54 inches
Step-by-step explanation:
let 4x = the bigger piece
let x = the smaller one
4x + x = 270
5x = 270
x = 54
Answer:
54 inches
Step-by-step explanation:
x + 4x = 270
5x = 270
x = 54 (shorter piece)
4x = 216 (longer piece)
f(x) = 5x – 10 and g(x) = x – 16. Which of the following represents h(x) = f(x) + g(x)? h(x) = 6x – 16 h(x) = 6x – 26 h(x) = x – 26 h(x) = x – 16
Answer:
h(x)=6x-26
Step-by-step explanation:
f(x)=5x-10
g(x)=x-16
h(x)=f(x)+g(x)=(5x-10)+(x-16) = 6x-26
Need help solving!!!!
It is 3 cause they are all the same leatheth so 3
Answer:
no its 2
Step-by-step explanation:
because 21+3=7. and 14+7=2. so it's 2
Literally have been at this for 20 minutes PLEASE HELP!!!!
Step-by-step explanation:
first: if we add 3x+7 and 4x+5, it will total a 180 degree angle. This will allow us to solve for x.
3x+7+4x+5=180
7x+12=180
7x=180-12
7x=168
x=24
now we can also see that angle 6 is the same as the angle 3x+7. and Since we know x=24, we can solve for those angles.
3(24)+7:
72+7=79
So :
<6 =79°
How many 1/2s are in 6?
Due in 3 minutes Need help ASAP
Will mark you brainlist
Answer:
I think it's 10 gallons less than Evan
Graph? Which is linear
Answer:
Below
Step-by-step explanation:
1. Linear because it is of the form y = mx + b. The variable x is of the first degree.
The coefficient of x (1/3) ( = slope) is positive so it is increasing.
2. This is non-linear because the variable x is an exponent.
3. Because its of the second degree (x^2) - it is non-linear.
Arthur has been challenged to donate $50,000. He decides to donate exactly 50% of the money every day until less than $1 remains. Write a function that would represent this situation.
Answer:(-1/2^x)(50000)
Step-by-step explanation:
Two hundred people responded to a survey. Of those who had green eyes, 7 had blonde hair, 9 had brown hair, and 2 had red hair. Construct a two-day table to display these data. Then identify the least common combination of eye and hair color. Explain.
Answer:
18
Step-by-step explanation:
Help asap plsplspls !!
Answer:1/4
Step-by-step explanation:
2/8 = 1/4
2/8 over 2 is 1/4
my friend needs help with this can someone help
Answer:Sorry
Step-by-step explanation:
Hi would help but i dont know and im not in collage sorry.
Promise Easy Points
Calculate the average monthly expenses for these individuals?
Kelsey spent $350 in May, $432 in June and $420 in July. Her average monthly expenses are:____
Michael spent $700 in April and May and $800 in June and July. His average monthly expenses are:____
$420+$350+$432=kelsey's monthly expenses
$700+$800=Micheal's Monthly expenses
Michael's average monthly expenses are $750.
What is the average?The average value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values. When we need to find the average of a set of data, we add up all the values and then divide this total by the number of values.
Given that, Kelsey spent $350 in May, $432 in June and $420 in July.
Now, average monthly expenses are
(350+432+420)/3
= 1202/3
= 400.67
Michael spent $700 in April and May and $800 in June and July.
Here, (700×2+800×2)/4
= (1400+1600)/4
= 3000/4
= $750
Therefore, Michael's average monthly expenses are $750.
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Pls help out need answers quick
Answer: answer is 8 because -5 + 1 = -4 then + 10 = 4
Answer:
see photos
Step-by-step explanation:
Plato/Edmentum
Solve the equation
-3x - 5 =16
What does x =??
Answer:
x=-7
Step-by-step explanation:
[tex]x = 21 \div - 3 \\ x = - 7[/tex]
Answer: -7
Step-by-step explanation:
Move all terms that don't contain
x
x
to the right side and solve
Solve for X. what are the measures of the two smaller angles? show your work
will mark brainiest for work
Answer:
x=10
Step-by-step explanation:
right angle is always 90
we can add 4+6=10
90-10=80
3*x+5*x=8*x
8*x=80
divide both sides by eight
x=10
PLSSS HELP NOW I WILL GIVE BRAINLIEST WHO EVER ANSWERS THIS QUESTION
Answer:
√6: 2.44
Step-by-step explanation:
first one since it's closer to the square root of 6
The area of triangle ABC is 4 root 2. Work out the value of x
Answer:
x ≈ 2.4
Step-by-step explanation:
Area of the triangle = 1/2 absin theta
Find the diagram of the triangle attached
a = 2x-3
b =x+2
theta = 45°
Substitute and find x
4√2 = 1/2(2x-3)(x+2)sin45
8/√2 = (2x-3)(x+2)(1/√2)
8 = (2x-3)(x+2)
Expand
8 = 2x²+4x-3x-6
2x²+x-6-8=0
2x²+x-14 = 0
x = -1±√1²-4(14)(2)/2(2)
x = -1±√1+112/4
x = -1±√113/4
x = -1+10.63/4
x = 9.63/4
x = 2.4
The value of x is 3.075.
Given that,
The area of the triangle is [tex]4\sqrt{2}[/tex] square meter,
and [tex]\theta[/tex] is 45 degrees.
The one side of the triangle is (2x-3) and the other side of the triangle is (x+2).
We have to determine
The value of x.
According to the question
The area of the triangle is determined by the following formula,
[tex]\rm Area \ of \ triangle = \dfrac{1}{2} sin\theta[/tex]
Substitute all the values in the formula
[tex]\rm Area \ of \ triangle = \dfrac{1}{2} absin\theta\\\\4\sqrt{2} = \dfrac{1}{2} (2x-3)(x+2) sin45\\\\2\times4\sqrt{2} = (2x^2+4x-3x-6)\dfrac{1}{\sqrt{2} }\\\\\sqrt{2} \times8\sqrt{2} = (2x^2+x-6)\\\\8\times2 = (2x^2+x-6)\\\\16 = 2x^2+x-6\\\\2x^2+x-6-16=0\\\\2x^2+x-22=0\\\\x = \dfrac{-b\pm\sqrt{b^2-4ac} }{2a}\\\\x = \dfrac{-1\pm\sqrt{(-1)^2-4\times2\times(-22)} }{2\times2}\\\\x = \dfrac{-1\pm \sqrt{177} }{4}\\\\x = \dfrac{-`1\pm13.30 }{4}\\\\[/tex]
[tex]\rm x = \dfrac{-1+13.30}{4} \ and \ x = \dfrac{-1-13.30}{4} \\\\x = \dfrac{12.30}{4} \ and \ x= \dfrac{-14.30}{4}\\\\x = 3.075 \ and \ x = -3.575[/tex]
The value of x can not be negative so the value of x is 3.075.
Hence, The required value of x is 3.075.
For more details refer to the link given below.
https://brainly.com/question/15894203
Help please______________________________
Answer:
By rounding each number to the nearst whole number, estimate the solution:
2.7²X4.3=31.347
8.8-5.15=3.65
for this 31 and 4 if you want to round
Step-by-step explanation:
Answer:
?????????
Step-by-step explanation:
Identify the range of the function shown in the graph.
A. {-2, 2}
B. -2 < y< 2
C. y> 0
D. yis all real numbers.
Given:
The graph of a function.
To find:
The range of the function.
Solution:
Range is the set of y-values or output values.
From the given graph it is clear that,
[tex]f(x)\to -\infty\text{ as }x\to -\infty[/tex]
[tex]f(x)\to \infty\text{ as }x\to \infty[/tex]
And the value function can be any real number. So,
Range = [tex]-\infty<y<\infty[/tex]
Range = [tex](-\infty, \infty)[/tex]
Range = y is all real numbers.
Therefore, the correct option is D.
Answer:
D. y is all real numbers.
Step-by-step explanation:
Range is the set of y-values or output values.
From the given graph it is clear that,
And the value function can be any real number. So,
Range =
Range =
Range = y is all real numbers.
Therefore, the correct option is D.
Use the Pythagorean Theorem to find the length of the leg in the triangle shown below. 3, 5
Step-by-step explanation:
use the pythagorean theorem to find the length of the leg in the triangle below
Bob built birdhouses to sell at the craft fair for $8.00 each. He had to spend $40 for materials . Which inequality represents the number of bird houses he must sell to make more than $ 200?
Answer:
8x - 40 > 200
Step-by-step explanation:
Hey! Please explain your answer!
Answer:
The inside of the pentagon and the angle outside the pentagon can add up the the angle of 180 degrees.
Step-by-step explanation:
Answer:
72°Step-by-step explanation:
Exterior angles of any polygon sum to 360°
We have:
5b = 360°b = 360°/5b = 72°87,900
3. Salome is 2 feet 5 inches tall. How many inches tall is Salome? *
5 points
31
29
24
There are 13 students in one line and 21 students in the other line. If the 5 points
Salome is 2 feet 5 inches tall. How many inches tall is Salome?
Answer:
Salome is 29 inches tall.
Step-by-step explanation:
Each feet has 12 inches.
Salome:
Salome is 2 feet 5 inches tall.
Since each has 12 inches, 2 feet = 2*12 = 24 inches
24 + 5 = 29 inches.
So Salome is 29 inches tall.
find the height of the cylinder if the volume is 340, and the length is 3
Answer:
113
Step-by-step explanation:
divide the volume with the length
Kiara tosses four different coins. What is the probability that the coins land with two head and two tails showing?
Group of answer choices
4/8
0
6/8
6/16
which expression is equivalent to (3c)-2?
Answer:
Assuming that the notation there is meant as:
[tex](3c)^{-2}[/tex]
then the answer would be 1/(9c²)
If the -2 is indeed just subtraction and not an exponent, then it is simply 3c - 2
The expression equivalent to 1/9c².
What is expression?An expression is a set of terms combined using the operations +, – , x or for example 4 x − 3 or x 2 – x y + 17 .
An equation states that two expressions are equal in value,
for example 4 b − 2 = 6 .
Given:
[tex](3c)^{-2}[/tex]
To make the power positive, just do the reciprocal
=1/ (3c)²
=1/9c²
Hence, the expression
[tex](3c)^{-2}[/tex] is equivalent to 1/9c².
Learn more about expression here:
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PLZ HELP!! WILL AWARD BRAINLIEST!!
Graph the following equations.
y = 2x + 1
Answer:
The one is the y intercept so you would place it at (0,1) and then sense the slope is 2/1 you would either go back one and down two or go up two and over one
Step-by-step explanation: