Answers
Answer: x = 9, y = 5
Step-by-step explanation:
If all of the sides are equal, it is an equilateral triangle. Equilateral triangles are also equiangular. The angles of a triangle add up to 180 degrees, so each angle must equal 60 degrees.
set the equation equal to 60 to solve for x
7x - 3 = 60
add three to both sides
7x = 63
divide both sides by 7
x = 9
find y by setting the equation equal to 60
11y + 5 = 60
subtract 5 from each side
11y = 55
divide both sides by 11
y = 5
Related Questions
What is the missing exponent in the equation 2? = 16?
Answers
Answer:
4
Step-by-step explanation:
2x2x2x2 = 16
Answer:
2^4 =16
Step-by-step explanation:
Rewriting 16
2^n = 2*2*2*2
2^n = 2^4
2^4 = 16
what is m equal to.
4(m − 13) − 8 = 8
Answers
Answer:
m = 17
Step-by-step explanation:
[tex]4(m - 13) - 8 = 8 \\ 4(m - 13) = 8 + 8 \\ 4(m - 13) = 16 \\ (m - 13) = \frac{16}{4} \\ m - 13 = 4 \\ m = 4 + 13 \\ \huge \red { \boxed{m = 17}}[/tex]
If x < 0 and y > 0, where is the point located
Answers
Answer:
rwrrwrwrr
Step-by-step explanation:
wrrwrrw
1)
Which choice could you use to find the volume of the given sphere? (π = 3.14)
A) V = 4(3.14)(4.5)3
B) V = 4/3(3.14)(4.5)2
C) V = 4/3(3.14)(4.5)3
D) V = (3.14)(4.5)3
2)
Determine the volume of the given sphere. (nearest tenth)
A) 91.1 cubic units
B) 286.1 cubic units
C) 381.5 cubic units
D) 401.6 cubic units
Answers
Step-by-step explanation:
(1) The radius of sphere is 4.5 units.
The volume of volume of sphere is given by :
[tex]V=\dfrac{4}{3}\pi r^3[/tex]
[tex]\pi=3.14\ , r=4.5[/tex]
So,
[tex]V=\dfrac{4}{3}\times 3.14\times (4.5)^3[/tex]
Option C is correct.
(2) If we solve the plugged values, then we get :
[tex]V=\dfrac{4}{3}\times 3.14\times (4.5)^3[/tex]
[tex]V=381.5\ \text{units}^3[/tex]
Option C is correct.
An adult ticket at an amusement park costs $29.95 and a child’s ticket costs $21.95. A group of 15 people paid $353.25 to enter the park. How many were children?
Answers
Write the equations:
a +c = 15
a = 15-c
29.95a + 21.95c = 353.25
Replace a in the last equation:
29.95(15-c) + 21.95c = 353.25
Simplify:
449.25 - 29.95c + 21.95c = 353.25
449.25 - 8.00c = 353.25
Subtract 449.25 from both sides:
-8.00c = -96.00
Divide both sides by -8.00:
c = -96 / -8
c = 12
There were 12 children.
a spinner is split into 20 equal sections and numbered from 1 to 20 find P(even and odd)
Answers
Answer: 0
Step-by-step explanation:
The probably of even AND odd is not possible because an outcome can not be both simultaneously
What is the sum of the geometric series 2+6+18+...+486?
Answers
Answer:
728
Step-by-step explanation:
2+6+18+...+486
a=2
r=6/2=3
[tex]a_{n}=ar^{n-1}\\486=2(3)^{n-1}\\3^{n-1}=486/2=243=3^5\\n-1=5\\n=5+1=6\\S_{6}=2\frac{3^6-1}{3-1} \\=2\frac{729-1}{2}\\=728[/tex]
A school librarian is purchasing books for the next school year. She surveyed 25 students and 6 said that they prefer science fiction books. If there are 125 total students, how many science fiction books should be purchased.
Answers
Answer:
30 science fiction books
Step-by-step explanation:
Can someone answer this question please please help me I really need it if it’s correct I will mark you brainliest .
Answers
Answer:
Step-by-step explanation:
Q1) r = 6 ft
Area of semicircle = πr²/2 = 6*6*3.14/2
Area of shape = 6*6*3.14/2 + area of the rectangle attached.
option 2
Q2) length of the arc = circumference of the circle /2
=2πr/2
= 2 * 3.14 * 6 /2
=12 * 3.14/2 ft
option 1
if there are 60 songs on a mp3 and 21 are rock. what is the ration of rock songs not being played at all
Answers
Answer:
rock: not rock
7:13
Step-by-step explanation:
First determine how many songs are not rock
60-21 = 39
There are 39 songs that are not rock
ratio of rock to not rock
rock: not rock
21:39
We can divide by 3
21/3:39/3
7 : 13
How much leather is needed to cover a basketball with a diameter of 14 inches?
Answers
Answer:
43.96 inches
Step-by-step explanation:
The formula for finding circumference is: 3.14*d(diameter). So if you plug in the 14 in the equation, you get 3.14*14 which is what I did to get the answer.
Hope this helped, mark brainliest and thanks! Have an awesome day! ;D
If you spun the spinner 1 time, what is the probability it would land on a white piece?
Answers
Answer:
4/7
Step-by-step explanation:
Since there are 7 possible outcomes because there are 7 triangles the denominator will be 7. Since there are 4 white squares the chances of landing on one is 4/7
How do you do this and what’s the solution?
Answers
Answer:
Step-by-step explanation
diameter makes a right angle at the circumference of the circle.
f=90°
f= 90
I hope this helps you!!
Jen has a newer car than Amelie, and it has One-third the miles of Amelie’s car. Amelie’s car has 45,000 miles. Which of the following equations model this situation? Select all that apply.
3(m) = 45,000
1/3 + m = 45,000
m = (1/3) (45,000)
m = 3(45,000)
m = 1/3 = 45,000
Answers
Answer:
Its 1rst and 3rd
Step-by-step explanation:
I took the assignment. Its correct.
Answer:
1 and 3
Step-by-step explanation:
on edge just got it right :)
What is the circumference of a circle with a diameter of 85 feet? using 3.14for pi
Answers
Answer:
266.9
Step-by-step explanation:
In order to find the circumference of a circle, you have to multiply the diameter by pi.
Circumference= 85 × 3.14
When multiplied this will get you 266.9
Gabriel invested $900 in an account paying an interest rate of 3 1/4 % compounded daily. Daniel invested $900 in an account paying an interest rate of 3 3/8 % compounded continuously. After 19 years, how much more money would Daniel have in his account than Gabriel, to the nearest dollar?
Answers
Answer:
$40
Step-by-step explanation:
The earnings of Gabriel can be calculated with the formula:
P = Po * (1 + r/n)^(nt)
Where P = 900, r = 0.0325, n = 365 and t = 19
So we have:
P = 900 * (1 + 0.0325/365)^(365*19) = $1,668.81
The earnings of Daniel can be calculated with the formula:
P = Po * e^(rt)
Where Po = 900, r = 0.03375 and t = 19
So we have:
P = 900 * e^(0.03375*19) = $1,708.97
So the amount that Daniel will have more than Gabriel is:
1708.97 - 1668.81 = $40.16
Rounding to nearest dollar, the difference is $40
Evaluate the expression 3 x
{10 +1} +5.
Answers
Answer:
38
Step-by-step explanation:
3 x {10 +1} +5.
PEMDAS
Parentheses first
3 x {11} +5.
Then multiply and divide
33+5
38
Answer:
38
Step-by-step explanation:
3 x {10 +1} +5 Following PEMDAS, solve in the parentheses
3 x 11 + 5 Multiply 3 x 11
33 + 5 Add
38
Y=12x+7 find an equation for the inverse relation
Answers
Answer:
y= 5x
Step-by-step explanation:
I hope this helps and that it is correct.
Which expression is equivalent to - 4(m - 3)?
Answers
Answer:
12 - 4 m
Simplify: -4(m -3)
Step-by-step explanation:
1: Solve the expression by using the distribute property
2: Simplify -4(m -3)
3: Done
Answer: 12 - 4 m
Hope this helps.
the perimeter of a triangle is 12b+5. Two sides have the following length:4b and 3b+15. What is the length of the third side?
Answers
Answer:The length of the third side 2.5.
Step-by-step explanation:
We already know the length of two side but we don’t know the length of one side so we will represent it by b and we know they three lengths add up to 12b+5.
4b + 3b+15 +b =12b + 5
Solve for b.
8b +15=12b +5
-8b -8b
15+4b +5
-5 -5
4b/4=10/4
B=2.5
So the length of the third side is 2.5
4(2.5) + 3(2.5)+15+2.5=12(2.5)+5
35=35
If angle AOC = 40 degrees, how many degrees is angle ABC?
Answers
80........................
Pleaaase help me out here im being timed!! Will mark brainliest
Really appreciate it if u did thank u.
I dont get how to do thiss!
Answers
Answer:
62.4
Step-by-step explanation:
Volume=L*w*h/3
V=5.2*4*9=187.2
187.2/3-62.4
Answer:
The volume of pyramid is
V = Base area x Height x 1/3
= (5.2 x 4) x 9 x 1/3 = 62.4 (cm3)
Hope this helps!
:)
how do I simplify this algebraic expression 3x+2a-4x
Answers
Start by changing the -4x to + -4x.
So we have 3x + 2a + -4x.
To simplify, we can only combine what are called our like terms and in this problem, we have a pair of like terms in our x terms.
3x + -4x simplifies to -x.
So our answer is -x + 2a.
Note that if you wrote your answer as -1x + 2a, it means the same thing. However, as we move farther into math, we usually tend to drop the -1 or 1 that is in front of a variable since it's implied
A bag contains four red marbles, nine green marbles, four blue marbles, and three yellow marbles. If Lisa draws a random marble
from the bag, what is the probability that it will be a red, green, or blue marble?
Answers
Answer:
The answer is 17/20
Step-by-step explanation:
idk
Answer (*shrugs*):
Red = 1/5
Green = 9/20
Blue = 1/5
Given parallelogram ABCD, m\angle A=5x+18 and m\angle B=3x-6 find find m\ C
Answers
Answer:
57
Step-by-step explanation:
Firstly, we will need to calculate what x is.
To calculate this, the important property of the parallelogram to use is that adjacent angles are supplementary.
This means A and B are supplementary while B and C are also supplementary
what we are trying to say is that they add up to be 180
Thus,
5x + 18 + 3x -6 = 180
8x +12 = 180
8x = 180-12
8x = 168
x = 168/8
x = 21
Thus, the measure of angle B is 3x-6 = 3(21) -6 = 63-6 = 57
Now, another important property of parallelograms is that opposite angles are equal. This means that angle B= C = 57
A six-sided die with sides labeled 1 through 6 will be rolled once. Each number is equally likely to be rolled.
What is the probability of rolling a number less than 5?
Write your answer as a fraction in simplest form.
Answers
Answer & Step-by-step explanation:
On a six-sided die, there are 4 numbers less than 5. So, we can write this as a fraction.
[tex]\frac{4}{6}[/tex] or we can write this fraction as [tex]\frac{2}{3}[/tex]
So, the probability of rolling a number less than 5 is [tex]\frac{2}{3}[/tex]
Which binomial is a factor of 9x2 – 64?
Answers
Answer:
Factor:
9x2 – 64
=(3x+8)(3x−8)
3x – 8
which of the following is equivalent to 5 cube root 13^3
Answers
Answer:
d. 13 raise power 3/5
Step-by-step explanation:
What happens if b = 0 in the general exponential function() = a
b
?
Answers
Answer:
It stays a zero or it turns into whatever the b or a is
Step-by-step explanation:
1. In rectangle PQRS, PR = 20x - 16 and QS = x + 554. Find the value of x and the length of each diagonal.
Q
R
C. x = 30, PR = 584, QS = 584
А. x = 15, PR = 569, QS = 569
B. x = 30, PR = 292, OS = 292
Answers
diagonals of a rectangle are congruent.
