If X = 10, find the value of the variable b. If your answer is not an integer, round to 2 decimal places.
Answers
a = leg
In a 45-45-90 triangle:
hyp divided by root 2 = leg
10 root 2 divided by root 2 equals leg
10 equals leg (a)
a = 10
a = long leg
b = short leg
c = hypotenuse
In a 30-60-90 triangle:
long leg divided by root 3 = short leg
10 / root 3 = short leg
short leg = 5.77 (b)
Hypotenuse = short leg * 2
Hyp = 5.77 * 2 = 11.55 (c)
Check using Pythagorean theorem:
a^2 + b^2 = c^2
10^2 + 5.77^2 = 11.55^2
100 + 33.4 = 133.4
133.4 = 133.4 :)
Related Questions
Find the simple interest you are investing $200 with a 5.2% interest rate of 3 years
Answers
Answer:
Step-by-step explanation:
Simple interest is
I=Prt, where I= interest, P=principle (initial value), r=interest rate, t=time
I=200(0.052)3
I=$31.20
Answer:
3,120
Step-by-step explanation:
Simple Interest= PRT / 100
= 200*5.2*3
= 1,040*3
= 3,120
Hope it is useful
Find the new amount given the original amount and the percent of change.
340 pages; 50% decrease *
Answers
Answer: 160
Step-by-step explanation:
Smith and his friends are gaming online on a popular website. An hour later, 6 friends go offline. Five of them continue playing. How many of them were gaming online initially?
Answers
Answer:
11
Step-by-step explanation:
5+6=11
Janet uses 6.5 pins of white paint and blue paint to paint her bedroom walls. 2/5 of this amount is white paint,and the rest is blue paint.How many pints of blue paint did she use to paint her bedroom walls?
Answers
Answer:
3.9 pints
Step-by-step explanation:
Given:
Caroline uses 6.5 pints of blue paint and white paint to paint her bedroom walls.
2/5 of this amount is blue paint, and the rest is white paint.
To find :
How many pints of white paint did she use to paint her bedroom walls?
Solution:
Caroline uses pints of blue paint and white paint = 6.5
Amount of blue paint = 6.5 - 2.6 = 3.9 pints
Therefore, 3.9 pints of white paint she used to paint her bedroom walls.
What is the distance from Mto N?
4
N(2,3)
3
2
1
5 4 3 2
1
1 2
3 4 5
2
-3
4
M-4.-5)
A. 14 units
B. 100 units
C. 10 units
D. 2 units
Answers
9514 1404 393
Answer:
C. 10 units
Step-by-step explanation:
The distance MN can be found using the distance formula.
d = √((x2 -x1)² +(y2 -y1)²)
d = √((2 -(-4))² +(3 -(-5))²) = √(6² +8²) = √100 = 10
The distance from M to N is 10 units.
I just need a little help
Answers
Mr. Pham mowed 2/7 of his lawn. his son mowed 1/4 of the lawn who mowed the most? How much of the lawn still needs to be mowed
Answers
Answer:
I believe the answer is 13/18
Step-by-step explanation:
if is not sorry but this is for 5th grade exit ticket only
There
are five marbles in
a bag. Three are green and
two are yellow. You draw a
marble, replace it, and then
Draw another. What is the
probability of choosing two
yellow marbles?
Answers
Answer:
like 20 percent
The yield of strawberry plants depends on the amount of fertilizer fed to the plants. Agricultural research shows that an acre of strawberry plants will yield 770 pounds of strawberries when 70 cubic feet of fertilizer are applied. If 90 cubic of feet of fertilizer are applied, the yield will be 990 pounds of strawberries. Use linear interpolation to estimate the yield if 72 cubic feet of fertilizer are applied.
______________(and select unit of meansure)---> (cubic feet/ pounds per cubic foot/ pounds/cubic feet per pound
Answers
Answer:
[tex]792\ \text{pounds}[/tex]
Step-by-step explanation:
[tex]x_1=70[/tex] cubic feet of fertilizer is used in [tex]y_1=770[/tex] pounds of strawberries
[tex]x_2=90[/tex] cubic feet of fertilizer is used in [tex]y_2=990[/tex] pounds of strawberries
[tex]x=72[/tex] cubic feet of fertilizer is used
Linear interpolation is applied
[tex]y=y_1+\dfrac{(x-x_1)(y_2-y_1)}{x_2-x_1}\\\Rightarrow y=770+\dfrac{(72-70)(990-770)}{90-70}\\\Rightarrow y=792\ \text{pounds}[/tex]
72 cubic feet of fertilizer will yield [tex]792\ \text{pounds}[/tex] of strawberries.
What is the total surface area of the
triangular prism?
2.8 m
2.8 m
2 m
4 m
4 m
Answers
Answer:
2 m.....that's it
try it
6 is 12% of what number?
Answers
Answer:
50
Step-by-step explanation:
Answer: 50
Step-by-step explanation:
2. What is the value of the number in the thousandths place of 1079.483?
Answers
Answer:
3
Step-by-step explanation:
Answer:
9000
Step-by-step explanation:
Simplify the expression 43 + 2(3 − 2)
Answers
Answer:
))))))
Step-by-step explanation:
43+2(3-2)=43+2*3-2*2=43+6-4=45
Answer:
45
Step-by-step explanation:
43 + 2(3-2)
43 +2 (1)
43 + 2
45
Kelly is reading a 440-page book. During the past 5 days she has read 275 pages. At this rate, how many more days will it take her to complete the book? 3 days Ada
Answers
Sierra has a recipe she wants to make. She has to use eggs and sticks of butter. The ratio for these ingredients is 12 to 4 to make 4 batches. What will the equivalent ratio be if she wants to make 8 batches?
Answers
so you need 24 eggs and 8 sticks of butter (a ratio of 24 to 8, or 24:8)
Sierra has a recipe she wants to make. She has to use eggs and sticks of butter. The ratio for these ingredients is 12 to 4 to make 4 batches. What will the equivalent ratio be if she wants to make 2 batches?
Answers
subtract -13xy from -5xy pls
Answers
Answer: (-13xy) + (-5xy) = -18xy
Step-by-step explanation:
well they are both negatives t=so they cant be subtracted from each other instead they are being added
13 + 5= 18
but remeber to add back the negative sign adn the variables
so its -18xy
A right triangle and some of its measurements are shown in this diagram. Based on the measurements shown in the diagram, what is the value of T? HELP HELP GOD IMMA FAIL PLZ THIS IS URGENT
Answers
Answer:
t = 6√3 mm
Step-by-step explanation:
The angles of the triangle are 30°, 60°, and 90°. That's lucky for you, because the sides of a 30°-60°-90° triangle are always in the ratio 1:√3:2
The side opposite the 90° angle is 12 mm, so the side opposite the 30° angle is 12/2 = 6 mm
t = side opposite the 60° angle = 6√3 mm.
The value of T is 6√3.
What is Trigonometry?One area of mathematics known as trigonometry examines the relationship between the sides and angles of a right triangle. The relationship between sides and angles is defined for 6 trigonometric functions.
We have,
Hypotenuse = 12 mm
Using Trigonometry
sin 60 = P/H
√3/2= P/12
12√3/2= P
P= 6√3
Thus, the value of T is 6√3.
Learn more about Trigonometry here:
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2(4)+ 4(1)= 12
Solution
Answers
8+4=12
2times 4 is 8 + 4 times 1 is 4 which if you add those up you will get 12
Please help
thx thx thx thx
Answers
Answer: Alabama Alaska Arizona Arkansas California Colorado Connecticut Delaware Florida Georgia Hawaii Idaho Illinois Indiana Iowa Kansas Kentucky Louisiana Maine Maryland Massachusetts Michigan Minnesota Mississippi Missouri Montana Nebraska Nevada New Hampshire New Jersey New Mexico New York North Carolina North Dakota Ohio Oklahoma Oregon Pennsylvania Rhode Island South Carolina South Dakota Tennessee Texas Utah Vermont Virginia Washington West Virginia Wisconsin Wyoming or all of the US states in alphabetical order
Rodrigo acelera su bicicleta a razón de 0.9m/s2 bajo la acción de una fuerza de 94N ¿Cuál es la masa de ambos?
Answers
Answer:
no entiendo español
Step-by-step explanation:
no entiendo español
HELP PLS IM CRYING I NEED IT PLSS ANSWER IT PLSSSSS
Answers
Answer:
C) 4k-24
A)10x+15x
Step-by-step explanation:
29 mm
가
120 mm
D
What is the perimeter?
millimeters
Answers
20^2 + b^2 = 29^2
400 + b^2 = 841
841 - 400 = 441
Square root 441 = 21
PERIMETER :
21+29+20 = 70
The answer is 70
Please help !! Thank youuu
Answers
Answer:
System A is A System B is B
Step-by-step explanation:
. Suppose that 10 students of a class of 50 undergraduates are chosen for a behavioral experiment. The total class consists of 15 freshmen, 18 sophomores, 10 juniors, and 7 seniors. If all students are equally likely to be picked, determine the probability of the group contains exactly seven seniors and three juniors.
Answers
Answer:
Approximately 0% probability of the group contains exactly seven seniors and three juniors.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question, the order in which the students are chosen is not important, which means that we use the combinations formula to solve this question.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
Desired outcomes:
7 seniors, from a set of 7.
3 juniors, from a set of 10. So
[tex]D = C_{7,7} \times C_{10,3} = \frac{7!}{7!(7-7)!} \times \frac{10!}{3!(10-3)&} = 1 \times 120 = 120[/tex]
Total outcomes:
10 students froms a set of 50. so
[tex]T = C_{50,10} = \frac{50!}{10!(50-10)!} = 10272278170[/tex]
Probability:
[tex]p = \frac{D}{T} = \frac{120}{10272278170} \approx 0[/tex]
Approximately 0% probability of the group contains exactly seven seniors and three juniors.
The amount of miles a car travels and the gas remaining in the gas tank
A. Positive association
B. Negative association
C. No association
Answers
Answer:
B. Negative association
Step-by-step explanation:
As the car travels more miles, the gas in the tank will decrease.
1 What is the value of this expression?
2 +4² x 4 - 12
Answers
Tell Me If Somethings wrong with my answer!
Answer:
54
Step-by-step explanation:
pedmas rule
2+16*4-12
2+64-12
66-12=54
Diego has 48 chocolate chip cookies, 64 vanilla cookies, and 100 raisin cookies for a bake sale. He wants to make the greatest number of bags that have all three cookie flavors and the same number of each flavor per bag. How many bags can he make without having any cookies left over? How many vanilla cookies will be in each bag?
Answers
Answer:
48 bags max if all 3 flavors must be in the bag. One flavor each in the bag.
I don't understand the other questions since the number of cookies per is not given nor the flavor mix
calculate the quotient of 286 and 11
Answers
The quotient for 286 and 11 is 26.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
286 ÷ 11
This can be written as,
11 ) 286 ( 26
286
0
This means,
The quotient is 26.
Thus,
The quotient is 26.
Learn more about expressions here:
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At a real estate agency, an agent sold a house for $311,000. The commission rate is 4.6% for the real
ostate agency and the commission rate for the agent is 25% of the amount the real estate agency
goto How much did the agency make on the hous? How much did the agent cam in commission?
Answers
9514 1404 393
Answer:
agency: $14,306agent: $3,576.50Step-by-step explanation:
The agency's commission was ...
0.046 × $311,000 = $14,306
The agent's commission was ...
0.25 × $14,306 = $3,576.50
__
The agency made $14,306; the agent earned $3,576.50.
