Answer:
60° 60° 60°
60°
Step-by-step explanation:
In any triangle, the sum of its interior angles is 180°, and 60+60+60=180.
As for the other question, we can see that angle5=angle1, and angle6=angle2, due to the parallelism of the lines.
Angle5+angle6=180°, therefore
Angle6=180-120=60°=angle2
1. A finance company charges $55 simple interest on a sum of money which is
borrowed for five months. Given that the rate
of interest is 12% per annum, find the sum of
the money.
Options:
1) $1200
2) $1100
Answer:
$1100 approx
Step-by-step explanation:
Given data
SImple interest = $55
Time= 5 months in years = 5/12= 0.42 years
rate= 12%
Let the sum be P, that is the principal
The expression for the interest is given as
SI=PRT/100
substitute
55= P*12*0.42/100
Cross multiply
5500=5.04P
P= 5500/5.04
P= 1091.2
Hence the Principal is $1100 approx
1. Marcus needs to bike at least 80 miles this week for his training. If he has already biked 25
miles this week, then how many miles should he bike on each of the 5 remaining days this week?
Variable:
Inequality:
Solution:
Answer:
There someone already asked the question
Bentley is deciding between two landscaping companies for his place of business company A charges $40 per hour and $175 equipment fee company B charges $50 per hour and a $125 equipment fee let A represent the amount company b would be
Answer:
A = 40x + 175
B = 50x + 125
5 hours
Step-by-step explanation:
The equations are as follows:
According to the question
Let us assume the number of hours be x
For company A
40x + 175
For company B
50x + 125
Now equate these two equations
40x + 175 = 50x + 125
175 - 125 = 10x
x = 5
Hence, the number of hours is 5
Tom takes a 300 mg Advil for a really bad headache. Every hour that the Adviis in his system, one-third of the medicine dissolves in his body
What is the question?
10. The volume of a rectangular prism is 90 in. The length is 5 in and the width is 2 in. What is its height?
Answer:
here is the process u can do length is given width is given and volume too so the formula is used in this is V=l x w x h
Triangle CAT is an equilateral triangle. Find x and AT
Given that 3^-n=0.2
Find the value of (3^n)^2
Step-by-step explanation:
3^-n=0.2
1/3^n=0.2
1=0.2(3^n)
3^n=1/0.2
3^n=5
(3^n)²=5²
(3^n)²=25
The value of the given expression (3^n)^2 is; 25.
Evaluating the value of an expressionFrom the task content, it follows that;
3^-n=0.21/3^n=1/5On this note; it follows that; 3^n = 5.
Consequently, the value of the expression (3^n)^2 is; (5)²
The value of the expression; (3^n)^2 is; 25.
Read more on value of expressions;
https://brainly.com/question/671415
Need help!!!!!!!!!!!!!!!
Answer:
no error original system so good by
A cube has a surface area of 126 feet. What is the area of one face?
Answer:
21 square feet
Step-by-step explanation:
A cube has 6 faces, therefore 126/6 = 21 sq/ft the area of 1 face
The area of one face of a cube is 21 feet.
What is the surface area of cube?Surface area of cube is the sum of areas of all the faces of cube, that covers it.
The formula for surface area is equal to six times of square of length of the sides of cube.
A cube has a surface area of 126 feet.
The area of one face is given by;
[tex]\rm Area \ of \ one \ face=\dfrac{Surface \ area}{Total \ number \ of \ faces}\\\\ Area \ of \ one \ face=\dfrac{126}{6}\\\\ Area \ of \ one \ face=21[/tex]
Hence, the area of one face of a cube is 21 feet.
Learn more about cube here;
https://brainly.com/question/22241530
#SPJ2
What percent of 54 is 28?
Answer:
51.85
Step-by-step explanation:
hope this helps lol
51.85
Percentage Calculator: 28 is what percent of 54? = 51.85.
A salt water solution is cooled to -3C. During an experiment , the mixture is heated so that its, temperature rises at steady rate. Write an equation to represent the temperature ,y, after x minutes
Answer:
[tex]y = -3+ rx[/tex]
Step-by-step explanation:
Given
[tex]Base = -3C[/tex]
[tex]Time = x[/tex]
Required
Determine the equation (y)
Let the steady rate be represented with r.
So, the equation (y) can be determined using:
[tex]y = Base + Rate * Time[/tex]
[tex]y = -3+ r* x[/tex]
[tex]y = -3+ rx[/tex]
the perimeter of a rectangle is at least 74 cm the length of a rectangle is two more than four times the width of a rectangle what are the minimum dimensions of the rectangle
Answer:
2W+2L=perimeter=74
Step-by-step explanation:
2W=74-2L
2(2W)+2(L/2)=76
substitute 74 - 2L for 2W in the last equation to solve for L. Put that value in the first equation to find W. Check by putting both values into the last equation.
There are 10 doors to a coliseum. In how many ways can a person go in and out if one can enter any door but leave using another door? Use permutation formula (P(n,r)) to solve.
Answer:
90 is the answer
Step-by-step explanation:
P(10,2) = [tex]\frac{10!}{(10-2)!}[/tex] = [tex]\frac{10!}{8!}[/tex] = [tex]\frac{10x9x8!}{8!}[/tex]
10x9
=90
The number of ways should be 90.
Calculation of no of ways:Since There are 10 doors to a coliseum.
So, here we used the permutation
[tex]= \frac{10!}{(10!-2!)}\\\\ = \frac{10!}{8!} \\\\= \frac{10\times 9\times 8!}{8!} \\\\= 10\times 9[/tex]
= 90
Learn more about permutation here: https://brainly.com/question/14767366?referrer=searchResults
Five students bought supplies. Three students each bought 3 pencils and an eraser. Two students each bought a pen and 2 pencils. Supply Cost pencil $0.16 eraser $0.56 pen $0.45 Select the equation that can be used to find the total cost (c) of the supplies. Mark all that apply.
Answer:
(5×0.16)+ (1× 0.56) +(1 ×0.45)
Calculate the surface area.
Thank you for the help
i will mark brainiest
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Answer: 659.7 yd^2
I hope this helped!
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find the values of b that make x^2+bx+1 a perfect square
Answer:
(x+1)^2 = x^2 + 2x +1
so b =2
Step-by-step explanation:
A skateboard ramp is 15 inches high and rises at an angle of 10 degrees. How long is the base of the ramp?
Answer: 37.3 in will be the longest in the base of the ramp.
Step-by-step explanation:
Answer:
3500
Step-by-step explanation:
37.3 is not the answer
Help!!
I will mark you brainliest for the correct answer.
Please help!!!
To find the interior of Y
Y = 180 - 135
Y = 45
The interior of Z is 49 because the angles are mirrored to each other
then, to find x,
X = 180 - 45 - 49
X = 86
so your answer should be 86.
PLEASE!! All the answers are wrong! An aquarium has 14 angel fish, 12 clownfish and
18 seahorses. What is the ratio of seahorses to
total number of fish?
Answer:
26:18
Step-by-step explanation:
Answer:
Ok if it is wrong i will do this
If seahorses are considered as fish, 18:44 or 9:22
If seahorses are not considered as fish, 18:26 or 9:13
Step-by-step explanation:
A 2-kilogram bag of flour costs $4.70. What is the unit price?
Answer:
$2.35
Step-by-step explanation:
4.70/2= 2.35
which answer is correct
Answer:
The answer is b
Complete the following table for f(x) = -2.4"
-2
-1
0
1
2
-2
[
Choose
- 1
Choose)
0
Choose!
1
Choose
2
Choose
Answer:
3
Step-by-step explanation:
Can anyone help me with this problem?
Anyone know the answer to this
Answer:
The answer is B
Step-by-step explanation:
3/4
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Energy that moves from a warmer object to a cooler object is called ________.
a insulation
b temperature
c thermal energy
d heat
Answer:
Tempature and this not mathematics
y = | x-3 | + | x+2 | - | x-5 | if -2
Step-by-step explanation:
is 0 I think I don't know maybe
Find the slope of through the two points (3,4) and (-2,3).
Answer:
Slope is 1/5
Step-by-step explanation:
m = (y2 - y1)/ (x2 - x1)
m = (3-4)/(-2-3)
m = (-1)/(-5)
m = 1/5
The Johnson family went out to lunch. How much did the meal cost per person, including sales tax and tip? • The meal cost $46.72. • The sales tax was 8% of the cost of the meal. • The tip was 15% of the meal and sales tax. • There are 4 people in the Johnson family. A) $14.00 B $14.50 C) $14.95 (D $15.25
Answer: c: $14.50
Step-by-step explanation:I just got done doing this question
Help please . Thank you !!
Answer:
A=25m
Step-by-step explanation:
can someone help???????????
Answer:
B. is the correct answer