b 5 3 a 4 What is the length of the hypotenuse of this triangle? 3 units 5 units 4 units
Answer:
5 units
Step-by-step explanation:
The hypotenuse is always the longest segment on a triangle. If the lengths of the sides of this triangle are 3 units, 4 units, and 5 units, the hypotenuse will be 5 units. You can use the pythagorean theorem to check.
a^2+b^2=c^2
If you substitute the variable with the lengths of the legs in ascending order, you will get 3^2+4^2=5^2. Simplifying the equation, you will get 9+16=25, or 25=25. Thus, proving the equation.
Hope this helped! :)
5 (w – 21)(w + 21)
Simplify the equation
Answer:5w^2 -2205
Step-by-step explanation:
simplify the product so (1) w mutiplied by w gives you w^2 . (2) 21 mutilplied by 21 gives you 441 . so now you would have 5( w^2 -441 ) (3) now you distribute 5 among the numbers so you should have 5w^2 -2205 .
pleasseeee help I'll give you brainlest answer
Answer:
The value of x is 10
Step-by-step explanation:
The measure of the exterior angle at one vertex of a triangle equals the sum of the measures of the two opposite interior angles to this vertex.
In ΔNOP
∵ ∠OPQ is an exterior angle of the triangle at vertex P
∵ ∠PNO and ∠NOP are the opposite interior angles of vertex P
→ By using the rule above
∴ m∠OPQ = m∠PNO + m∠NOP
∵ m∠OPQ = (6x - 15)°
∵ m∠PNO = (2x + 18)°
∵ m∠NOP = (2x - 13)°
→ Substitute them in the equation above
∴ 6x - 15 = 2x + 18 + 2x - 13
→ Add the like terms in the right side
∵ 6x - 15 = (2x + 2x) + (18 - 13)
∴ 6x - 15 = 4x + 5
→ Subtract 4x from both sides
∵ 6x - 4x - 15 = 4x - 4x + 5
∴ 2x - 15 = 5
→ Add 15 to both sides
∵ 2x - 15 + 15 = 5 + 15
∴ 2x = 20
→ Divide both sides by 2 to find x
∴ x = 10
∴ The value of x is 10
Rose is in charge of buying candy and drinks for a party. She spent $25 on drinks and each bag of candy costs $2.10. Which equation can be used to find, y, the amount of money she spent after buying x bags of candy?
A. y = 25x + 2.10
B. y = 25x – 2.10
C. y = 2.10x – 25
D. y = 2.10x + 25
Answer:
d.
Step-by-step explanation:
we dont know how many bags of candy there are so we use x.
2.10x. and then we add the 25 dollars from the drinks
2.10x+25=y
Area of the trapezoid
Answer: a+b/2*h
Step-by-step explanation:
The formula for the trapezoid is base+base/2 x height
Isabelle has 3 1/3 yards of rope and DeShawn has 138 inches of rope. If they combine their length of rope, how many feet of rope will they have in total?
Isabelle has 3 1/3 yards aka 120 inches of rope.
DeShawn has 138 inches of rope.
Both have 258 inches aka 21.5 feet of rope in total.
Which of the following statements would not translate to the equation 8 ÷ x = -4?
A. The quotient of eight and a number equals negative four.
B. The solution of a number divided by eight is negative four.
C. Eight divided by a number is equal to negative four.
D. If eight is divided by a number, the result is negative four.
PLZ, help me with this question.
Answer:
catastrophic
Step-by-step explanation:
Cuz it means "destructive"
can someone help with this?
Given the function f(x) = 2x + 1, find x if f(x) = 15.
Answer:
x = 7
Step-by-step explanation:
15=2x+1
2x+1=15
2x+1−1=15−1
2x=14
2x /2 = 14 /2
x = 7
Let y = f(x)
[tex]y = 2x + 1[/tex]
When y=15
[tex]15 = 2x + 1 \\ 2x = 15 - 1 \\ 2x = 14 \\ x = 7[/tex]
Therefore, x = 7 when f(x)=15
I need to give the proof of the shape that is on the picture
Answer:
Im only 12 i dont know
Step-by-step explanation:
THIS IS MY LIKE 5TH TIME ASKING THIS QUESTION PLEASE ANSWER FULLY AND CORRECTLY!!!
A polygon has vertices whose coordinates are A(1, 4), B(4, -1), C(-1, -4), and D(-4, 1). Use the midpoint formula to determine whether or not the diagonals of polygon ABCD bisect each other. In your final answer, include all of your calculations.
can i have some help
Answer:
First one is 0 aka no slope and second one is 2
Step-by-step explanation:
y = mx + b
m represents the slope b is the y-intercept
The first one is y = -5, as we can see there's no x so it's safe to say that the slope is 0 cause, 0x = 0 times x = 0
Second one is y = 2x - 4, in place of m we have 2 so the slope is 2
Answer:
the slope for the first one is 0
the second one is 2
Step-by-step explanation:
1. set your equation into y=mx+b form
2. identify what your 'm' is
3. m= your slope
6 (13, 15).(-9.-13)
= = =
Answer:
The answer is 183
Step-by-step explanation:
Write the perimeter of the triangle as a simplified polynomial. Then factor the polynomial
a=21x+6
b=3x^2+1
c=x^2+8x
Answer:
c
Step-by-step explanation:
Distribute 2 ( 10x = 1)
Answer:
20x= 2
Step-by-step explanation:
2( 10x = 1)
2x10x=20x
2x1=2
20x=2
if im not mistaken
CAN SOMEONE PLEASE HELP ME I'M LITERALLY CRYING RIGHT NOW.
Answer:
I'm sorry this is hard, what grade is this?
Step-by-step explanation:
55555+”5959495+5958584
Answer:
11973634
IS THE ANSWER
Step-by-step explanation:
Answer:11973634
Step-by-step explanation:
ASAP pls help me answer this
Olivia lives in a house that is 9 meters below sea level. Olivia goes to school every day, which is 5 meters above sea level. How many meters does Olivia travel, in altitude, when going from home to school?
Question 8 of 25
The lines graphéd below are parallel. The slope of the red line is-What is
the slope of the green line?
m=
OA-4/3
OB.4/3
OC.3/4
OD.-3/4
Answer:
A
Step-by-step explanation:
At the kennel, there are 6 dogs for every 5 cats.
The ratio of dogs to cats is to .
The ratio of cats to dogs is to .
For every dogs there are cats.
The ratio of cats to dogs is : .
Answer:
Dogs to cats ratio - 6:5
Cats to dog ratio - 5:6
Step-by-step explanation:
Solve m – 4.2 = 5.1. Show your work.
Answer:
m = 9.3
Step-by-step explanation:
m- 4.2=5.1
+4.2 +4.2
m= 9.3
Answer:
m = 9.3
Step-by-step explanation:
you want to solve for m
to get it alone you need to add 4.2 to both sides
m - 4.2 + 4.2 = 5.1 + 4.2 The 4.2 on one side cancel out solving for m
34 is 0.2% of what number!!
Answer:
1700
Step-by-step explanation:
Hope this helps and have a great day.
Given the table below that lists points on a line, what is the x-intercept of the line?
Answer:
Option (1)
Step-by-step explanation:
X-intercept means, value of x (input value) at y = 0 (output value).
Or an ordered pair in the form of (x, 0) is the x-intercept.
From the table attached,
At x = 9, output value is y = 0.
Therefore, x-intercept of the line represented by the table will be,
x = 9
Option (1) will be the correct option.
A puppy's weight increases by 12% each week for the first 9 months. The puppy currently weighs 4.15 pounds. How much will the puppy weigh after 1
week
Gertrude is making goodie bags for her birthday party. She has 18 erasers and 12 pencils. She wants her bags to have the same combinations of pencils and erasers. Name two possible combinations of bags she could have.
Answer:
A)The greatest number of bags she could have is 6 bags
b) The least possible combination of bags she could have is 36 bags
Step-by-step explanation:
Gertrude is making goodie bags for her birthday party. She has 18 erasers and 12 pencils. She wants her bags to have the same combinations of pencils and erasers. Name two possible combinations of bags she could have.
The two possible combinations not and she could have is calculated as :
a) Greatest Possible Combination
We solve using Greatest Common Factor Method
The factors of 12 are: 1, 2, 3, 4, 6, 12
The factors of 18 are: 1, 2, 3, 6, 9, 18
Then the greatest common factor is 6.
Hence, the greatest number of bags she could have is 6 bags
b) Least Possible Combination
We solve using Least Common Multiple Method
Multiples of 12:
12, 24, 36, 48, 60
Multiples of 18:
18, 36, 54, 72
Therefore,
LCM(12, 18) = 36
The least possible combination of bags she could have is 36 bags
Out of 600 students who complete the proficiency test, 423 were found to be proficient in reading, 398 were found to be proficient in math, and 512 were found to be proficient in either reading or math. How many were proficient in both reading and math?
Answer:
309 students
Step-by-step explanation:
Out of 600 students who complete the proficiency test, 423 were found to be proficient in reading, 398 were found to be proficient in math, and 512 were found to be proficient in either reading or math. How many were proficient in both reading and math?
We solve the above question using the formula below:
Where R = Proficiency in reading
M = Proficiency in maths
n ( R ∪ M) = n(R) + n ( M) - n ( R ∩ M)
n ( R ∪ M) = 512 students
n(R) = 423
n ( M) = 398
n ( R ∩ M) = ??
Hence:
512 = 423 + 398 - n ( R ∩ M)
n ( R ∩ M) = 423 + 398 - 512
= 821 - 512
= 309
The number of people proficient in both reading and math [n ( R ∩ M)] = 309 students
20. The Christmas cheer from the crowd singin
in the park brings up the Clausometer to 80%
What is this number written as a fraction in
Answer:
the answer is 4/5 because 4 divided by 5 is .80. multiply the .80 by 100 to get 80%
help me please on this
Answer:
Step-by-step explanation:
I'll leave you to do the labeling. The rectangle defined by 0,0 and 3,7 is the area that you are interested in. The maximum is at x = 3 and y = 7
P = 2*3 + 3*7
P = 6 + 21
P = 27
