Answer:
30°, 60°, 90°
Step-by-step explanation:
sum the parts of the ratio, 1 + 2 + 3 = 6 parts
divide the sum of the angles in a triangle. 180° by 6 to find the value of one part of the ratio.
180° ÷ 6 = 30° ← value of 1 part of the ratio , then
2 parts = 2 × 30° = 60°
3 parts = 3 × 30° = 90°
The 3 angles are 30°, 60° and 90°
A shark is swimming 25 feet below the surface of the water. It goes down another 12 feet. What is the new depth the shark is swimming at?
Answer:
37 feet below the surface or -37 ft
Step-by-step explanation:
A power line stretches from the top of a building to the ground. The power line is 100ft. long and the building is 50 ft. tall. What is the horizontal distance from the end of the power line to the building?
Answer:
86.6 ft.
Step-by-step explanation:
At an amusement park, anyone who is taller than 5 feet is allowed to ride the rollercoasters. Write an algebraic inequality using y to represent those who are taller than 5 feet and can ride the rollercoaster.
Answer:
y > 5
Step-by-step explanation:
To ride the Rollercoaster, height must be above 5 feets
y = height
Hence, the inequality representing those who can ride the Rollercoaster is :
Height above 5 feets
y > 5
Hence, anybody for which the inequality statement is true can ride the Rollercoaster.
The ratio of dogs to cats at a pet store is 11: 4. If there are 90 total pets (dogs and cats), how many cats are there?
Answer:
number of cats
[tex]90 \times \frac{4}{15} \\ 24cats[/tex]
What is the area of the rectangle?
A. 6,000 units2
B. 6,100 units2
C. 6,660 units2
D. 6,666 units2
???? 0.243 + 70.3 =
Answer:
70.243
Step-by-step explanation:
hope this helps you!!
Answer:
0.243 + 70.3 = 70.543
I hope This Helps^^What is 69.37 minus 1.93
Answer:
the answer is 67.44 hope it helps smile
How much money would you pay in interest if you borrowed $1,500 for 8 years at a simple interest rate of 12% APR?
Answer:
1$
Step-by-step explanation:
The leprechaun needs to walk 512.5 miles to get the pot of gold. If he plans
to walk 12.5 miles per day, how many days will it take him to reach the gold?
Answer:
41 days
Step-by-step explanation:
512.5 ÷ 12.5 = 41 days
pls help
In triangle ABC, the length of side AB is 17 inches and the length of side BC is 23 inches. Which of the following could be the length of side AC?
A.
42 inches
B.
4 inches
C.
45 inches
D.
30 inches
Answer:
Correct Answer: D
Step-by-step explanation:
17+23<x<23-17
40<x<6
Answer:
correct answer is D
Step-by-step explanation:
the sum of the other sides of the triangle should be greater than the third side
hence the correct option is OPTION D
The supplement to a 168 degree angle is
Answer:
12°
Step-by-step explanation:
supplements added together = 180°
Mhanifa can you please help me? I’m really stuck on this
Answer:
The first diagramThe right triangles are congruent by SSS (or HL)Corresponding angles at point T are congruent.P lies on perpendicular bisector
The second diagramThe right triangles are congruent by HLCorresponding angles at point T are congruent.P lies on perpendicular bisector
The third diagramThe right triangles are congruent by HL.Corresponding angles at point E are congruent.P lies on the angle bisector
In all three cases we have sufficient information
Write the equation of the line in Slope-Intercept form that passes through the point (4,-7) and has the same slope as y=1/4 x +3
Answer:
Step-by-step explanation:
y + 7 = 1/4(x - 4)
y + 7 = 1/4x - 1
y = 1/4x - 8
Meira hired a plumber to help her install a new sink in her bathroom. The plumber charges $65.75 for the first hour and $38.50 for each hour thereafter. Meira has a $200 budget for the installation. If the plumber takes 3 hours to complete the job. How much, in dollars, will Meira have left in her budget?
Answer:
17.75
Step-by-step explanation:
Find two integers whose sum is 20 and product is 99
Answer:
11 and 9
Step-by-step explanation:
X+Y=20
X*Y=99
Y=20-X
X*(20-X)=99
20X-X^2=99
20X-X^2–99=0
-(X - 11) (X - 9) = 0
Two solutions
X-11=0, X=11
X-9=0, X=9
Y=20-X, so if X is 9, Y is 11
Y=20-X, so if X is 11, Y is 9
The two numbers are 11 and 9
9. Bella hiked a 13-kilometer trail at Great Peak. How many meters did Belle
hike? 1km = 1,000m
A 0.13
B 0.013
C 1,300
D 13,000
9.)
Answer:
D. 13,000
Step-by-step explanation:
If there are 1,000 m in 1 km, we can find the number of meters she hiked by multiplying 13 by 1,000:
13(1000)
= 13,000
So, Belle hiked 13,000 meters.
The correct answer is D. 13,000
Katelyn wants to build a desk for her doll. Her actual desk is 3 feet tall. The scale is 0.5 in: 1 ft How tall will the doll desk be?
I NEED HELP PLZZ THE IS DUE TODAY PLZZ thank you
Please Help
Pat and Rick are sakes associates at a store. Pat makes 2 sales for every 3 customers that he helps. Rick makes 3 sales for every 4 customers that he helps. Does Pat or Rick have a better ratio of sales to customers?
i need an answer to this too
What is the value of m?
HELP DUE IN 30 MINS!
17. Are the triangles similar? Yes or No
18. Which postulate justifies your answer to #17?
A. SSS~ Postulate
B. SAS~ Postulate
C. AA~ Postulate
D. They are not similar.
19. Finish the similarity statement: ΔTER ~ Δ??
Answer:
D
Step-by-step explanation:
I looked at the picture️
Answer:
17.yes by angle angle angle axiom.
C. AA~ Postulate
triangle TER~traingle GSR
Find the solution of the system of equations.
4x – 8y = -44
2x + 4y = -6
Answer:
x= -7/2
y= 5/4
Step-by-step explanation:
x-2y=-11
x+2y = -6
then isolate x and set equal to each other
-2y - 6 = 2y -11
4y = 5
y = 5/4
then solve for x using y.
x+5/2 = -6
x = -7/2
10 is 6% of what number
Answer:
166.67
Step-by-step explanation:
We have, 6% × x = 10 or, 6/100 × x = 10
Multiplying both sides by 100 and dividing both sides by 6,
we have x = 10 × 100/6
x = 166.67
If you are using a calculator, simply enter 10 × 100 ÷ 6, which will give you the answer.
Hope this helps
Write and solve an equation to answer the question. 9 is 12% of what number?
Mags and Vector are playing a board game. They use a spinner to determine if they should move forward or backward. They roll a number cube with the numbers 1-6 on it to determine how many Mags and Vector are playing a board game. They use a spinner to determine if they should move forward or backward. They roll a number cube with the numbers 1-6 on it to determine how many spaces to move. What is the probability of moving backward an even number of spaces?
Answers- 1/6 1/4 1/2 1/3
Answer: 1/4
Step-by-step explanation:
An artist mixes paint to make new colors.
She uses 13 cup of red paint and 13 cup of yellow paint to make a batch of orange paint.
If the artist has 2 cups of red paint available and 3 cups of yellow paint available,
how many batches of orange paint can she make?
Answer:
The artist can make six batches of orange paint and it remains one cup of yellow paint
Hope it helps plz give me brainlist :)
Someone please help with this Free Response on USATestPrep
Given the equation y = 12x − 25, describe a real-life context that could be modeled by the equation and describe the meaning of the coefficient, variable, and constant term expressed in the equation.
Answer:
Kindly check explanation
Step-by-step explanation:
Given the equation :
y = 12x − 25
The initial depth of groundwater being held by a storage tank which extends downward below the ground surface is - 25. The rate of change in depth the groundwater per unit of Rainfall is 12. Hence, a linear model which could model the depth of water in the tank in the described scenario is ;
y = 12x − 25
The rate of change in depth of ground water, y per unit change in number of Rainfall, x gives the slope Coefficient, which equals 12
The intercept value, which is the initial depth of groundwater before, it started raining is - 25
Your friend says that V169 is 13. Another
friend says that V169 is –13. Who is correct?
Explain.
Answer:
first one is correct
Step-by-step explanation:
What is the quotient? X+5√3x^2+4x+5 A.) 3x^2-11+60/x+5 B.) 3x-11+60/x+5 C.) 3x^2-11-50/x+5 D.) 3x-11-50/x+5 Please hurry this is timed!
Answer:
[tex]3x - 11[/tex]
Step-by-step explanation:
Given
[tex]\frac{3x^2 + 4x + 5}{x + 5}[/tex]
Required
Determine the quotient
First, we check if the divisor (x + 5) can divide the dividend (3x^2 + 4x + 5) without having a reminder
Equate the denominator to 0.
[tex]x + 5 = 0[/tex]
[tex]x = -5[/tex]
Substitute -5 for x in the numerator
[tex]3x^2 + 4x + 5 = 3*(-5)^2 + 4 * (-5) + 5[/tex]
[tex]3x^2 + 4x + 5 = 60[/tex]
This means that it has a reminder of 60
To get the quotient, we subtract 60 from the numerator and evaluate
[tex]\frac{3x^2 + 4x + 5}{x + 5}[/tex] becomes
[tex]\frac{3x^2 + 4x + 5 - 60}{x + 5}[/tex]
[tex]\frac{3x^2 + 4x - 55}{x + 5}[/tex]
Expand the numerator
[tex]\frac{3x^2 + 15x - 11x - 55}{x + 5}[/tex]
Factorize:
[tex]\frac{3x(x + 5) - 11(x + 5)}{x + 5}[/tex]
Factor out x + 5
[tex]\frac{(3x- 11)(x + 5)}{x + 5}[/tex]
Cancel out x + 5
[tex]3x - 11[/tex]
Hence, the quotient is [tex]3x - 11[/tex]
Tom and Brian are hiking towards each other at the opposite ends of a trail that is 21 miles long. Tom hikes uphill at a speed of 2 miles per hour. Brian is hiking downhill at a speed of 4 miles per hour. How long will it take for the two to meet?
Answer:
3.5 hours
Step-by-step explanation:
Distance = 21 miles
Speed * time
Speed * time = distance
Tom speed = 2 mph
Brian = 4 mph
Let time = t
Brian distance + Tom's distance = total distance
4t + 2t = 21
6t = 21
t = 21 / 6
t = 3.5 hours
