Answers
Answer:
Use SOH CAH TOA to rember how the trig function fit on the triangle
Step-by-step explanation:
we are given the Hypotenuse and the Opposite or H and O look for the trig function with each of those, SOH is good
Sin Ф = Opp / Hyp, or SOH
now plug in what you are given
Sin Ф = 5 / 8
use inverse trig fuction to find the angle
arcSin ( Sin Ф) = arcSin ( 5/8)
trig functions cancel out
Ф = arcSin(5/8)
I'm using my calculator to find the arcSin(5/8)
Ф=38.6821...°
also make sure you know if your calculator is in degrees or radians.
Ф=38.68° to the nearest hundredth :)
Answer:
∠A = 38.68°
Step-by-step explanation:
The side opposing ∠A and the hypotenuse are given.
Therefore, take the inverse sin function of ∠A.
sin∠A = 5/8∠A = sin⁻¹ (0.625)∠A = 38.6821875∠A = 38.68° (nearest hundredth)Related Questions
During the first half of a basketball game, a team made 50% of their 40 field goal attempts. During the
second half, they scored on only 40% of 30 attempts from the field. What was their field goal shooting
percentage for the entire game?
Answers
The answer maybe 5%
Nemo's fish store has 12 tanks of clownfish: each tank holds 30 fish. He collects
and inspects 5 fish from each tank and finds that 3 fish have fin rot find the estimated number of
clownfish in the store that have fin rot.
Answers
The estimated value is given by the expected value. The estimated number of clownfish in the store that have fin rot will be 216.
How to find that a given condition can be modeled by binomial distribution?Binomial distributions consist of n independent Bernoulli trials.
[tex]X \sim B(n,p)[/tex]
Suppose we have random variable X pertaining to a binomial distribution with parameters n and p, then it is written as
The expected value of X is:
[tex]E(X) = np\\[/tex]
Nemo's fish store has 12 tanks of clownfish: each tank holds 30 fish.
He collects and inspects 5 fish from each tank and finds that 3 fish have fin rot
Then the estimated number of clownfish in the store that have fin rot.
The number of the clownfish in the store will be
n = 12 × 30
n= 360
Then the value of p will be
[tex]p= \dfrac{3}{5}\\\\p = 0.6[/tex]
Then the estimated number of clownfish in the store that have fin rot will be given by the expected value. Then we have
[tex]E(X) = 360 \times 0.6\\\\E(X) = 216[/tex]
Learn more about binomial distribution here:
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Answer:
Binomial distributions consist of n independent Bernoulli trials.
Suppose we have random variable X pertaining to a binomial distribution with parameters n and p, then it is written as
The expected value of X is:
Nemo's fish store has 12 tanks of clownfish: each tank holds 30 fish.
He collects and inspects 5 fish from each tank and finds that 3 fish have fin rot
Then the estimated number of clownfish in the store that have fin rot.
The number of the clownfish in the store will be
n = 12 × 30
n= 360
Then the value of p will be
Then the estimated number of clownfish in the store that have fin rot will be given by the expected value. Then we have
Step-by-step explanation:
Use the Law of Cosines to solve the triangle. (Round your answers to two decimal places.)
a = 20, b = 5, c = 17
A =
B =
C =
Answers
PLEASE HELP CORRECT ANSWER GETS BRAINLY
Answers
Answer:
[tex]7.21\ units[/tex]
Step-by-step explanation:
Start by giving the points coordinate points assuming the origin is the bottom left:
[tex]A(4,2)\\B(10,6)[/tex]
Apply the formula for the distance between two points:
[tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]d = \sqrt{(10-4)^2+(6-2)^2}[/tex]
[tex]d = \sqrt{6^2+4^2}[/tex]
[tex]d = \sqrt{36+16}[/tex]
[tex]d = \sqrt{52}[/tex]
[tex]d = 7.21\ units[/tex]
Answer:
7.22 units
Step-by-step explanation:
Using Pythagorean Theorem
AB = √6² + 4²AB = √36 + 16AB = √52AB = 2√13AB = 2 × 3.61AB = 7.22 unitsGiven the regular polygon, what is the measure of each numbered angle?
Answers
Answer:
Answer A
Step-by-step explanation:
Approach 1
B, C, and D are wrong because angles 1 and 2 are congruent.
Therefore your answer of both being 60°
Approach 2
Let x = angle 1.
360/x = 6
x = 60°.
Therefore Angle 1 is 60°
An interior angle of a hexagon is 120°
Let y = angle 2.
y is half of 120°
So 120/y = 2
y = 60°
Brad and Angelina can mow their yard together with two lawn mowers in 20 min
. When Brad works alone, it takes him 30 min. How long would it take Angelina to mow the lawn by herself?
It takes Angelina_______ min to mow the lawn by herself.
Answers
Answer:
Let A = Angelina's timeLet
B = Brad's time 20
(1/A + 1/B) = 1 B = 30 20(1/A + 1/30) = 11/A + 1/30 = 1/201/A = 1/20 -1/301/A = 1/60A = 60 minutes for Angelina to do the lawn alone
Step-by-step explanation:
I hope this helped :)
Order the numbers from least to greatest. 0.3, 9/25, 33%, 0.35
Answers
Answer:
0.3(least)
0.33
0.35
0.36(greatest)
Step-by-step explanation:
Okay, so first we need to have all of our numbers in the same category of variable. So first, we will convert 9/25 to a decimal.
To do that, we must divide 9 by 25 to get our answer of 0.36.
Now, we will convert the 33% to a decimal by dividing it by 100 to get 0.33
We now have our list, which should be ordered as:
0.3
0.33
0.35
0.36
solve for x ～
[tex]14x - 196 = 0[/tex]
thankyou! :)
Answers
Answer:
x = 14
Step-by-step explanation:
14x - 196 = 0
14x = 0 + 196
14x = 196
x = 196 ÷ 14
x = 14
[tex]14x - 196 = 0 \\ \\ \implies14x = 0 + 196 \\ \\ \implies 14x = 196 \\ \\ \implies \: x = \frac{196}{14} \\ \\ \implies \: x = 14[/tex]
Therefore the required value of "x" will be 14.Hope it helpsHow is the base of the cylinder related to the base of the cone?
their booth 4'
How are the heights of the cylinder and the cone related? their both 3'
Find the volume of the cylinder. Write your answer in terms of pi.
Answers
Answer: V=πr2h
How is the base of the cylinder related to the base of the cone?
Do you see it? (A°/360°)*2s is a part of the circumference of the circle with radius s that is the base of the cone. It is equal to 2r, which is the circumference of the cylinder.
How are the heights of the cylinder and the cone related?
The height of the cone is the length h of the straight line from the cone's tip to the center of its circular base. Both ends of a cylinder are circles, each of radius r. The height of the cylinder is the length h between the centers of the two ends.
How do you find the volume of a cylinder given the base and height?
The formula for the volume of a cylinder is V=Bh or V=πr2h . The radius of the cylinder is 8 cm and the height is 15 cm. Substitute 8 for r and 15 for h in the formula V=πr2h . Simplify.
I hope this helps! :)
4. Find x
AB
(10x-51)
DC
(6x-11)
Answers
Answer:
51/10 and 11/6
Step-by-step explanation:
10x - 51 = 0
10x = 51
x = 51/10
6x - 11 = 0
6x = 11
x = 11/6
the aquarium of americas has two new shark tanks. each shark tank holds a total of 1,440 gallons of water. the ratio of sharks to gallons of water in tank 1 is 8 to 120 and the ratio of sharks to gallons of water in tank 2 is 3 to 90
Answers
Answer:
144 total # sharks
Step-by-step explanation:
Don't know what it is that you are looking for BUT here is the total number of sharks
1440 / 120 * 8 + 1440 / 90 * 3 =
PLEASE I NEED HELP ASAP
An electrician charges $80 for a house visit and $70 per hour. If the electrician gets paid $430, how many hours did he stay at your house?
Answers
PLEASE HELP FIND THE AREA ILL GIVE BRAINLIESTTTT
Answers
Answer:
638.4
Step-by-step explanation:
You could make 2 triangles (One on each side)
91.2*7=638.4
You could cut this in half, but it would be pointless as you are going to add it back again.
Wht is 899 divided by 8
Answers
Answer:
112.375
Step-by-step explanation:
What is the lateral surface area of this right pyramid with a square base?
Answers
Answer:
The lateral surface area of a square pyramid is the sum of the areas of the side faces only, whereas the surface area is the lateral area + area of the base. The lateral area of a square pyramid = 2al (or) 2a√[(a 2 /4) + h 2]. To get the surface area, we need to add the area of the base (which is a 2) to each of these formulas.The surface area of a square pyramid = a 2 + 2al (or) a 2 + 2a[(a 2 /4) + h 2]. where, a = Length of the base (square) l = slant height; h = height of the pyramid.
Step-by-step explanation:
hope this helps if not let me know have a great day :)
I need help with this
Answers
Answer:
144 ft³
Step-by-step explanation:
This "irregular shape" is a composite shape that can be considered to be any of these compositions:
extending the middle horizontal surface cuts the shape into two blocks: upper left: 2 ft high, 3 ft wide, 6 ft deep; and lower: 2 ft high, 9 ft wide, and 6 ft deep.extending the middle vertical surface cuts the shape into two blocks: left: 4 ft high, 3 ft wide, and 6 ft deep; and right: 2 ft high, 6 ft wide, and 6 ft deep.A larger block with a smaller block cut out of the upper left: larger block: 4 ft high, 9 ft wide, and 6 ft deep; cutout: 2 ft high, 6 ft wide, and 6 ft deep.The volume of any one of these blocks is the product of height, width, and depth. The above decompositions are evaluated here.
1.V = HWD
V = (2 ft)(3 ft)(6 ft) +(2 ft)(9 ft)(6 ft) = 36 ft³ + 108 ft³ = 144 ft³
__
2.V = (4 ft)(3 ft)(6 ft) +(2 ft)(6 ft)(6 ft) = 72 ft³ +72 ft³ = 144 ft³
__
3.V = (4 ft)(9 ft)(6 ft) -(2 ft)(6 ft)(6 ft) = 216 ft³ -72 ft³ = 144 ft³
Travis must use 144 ft³ of concrete to make the block.
Hey can I get some help real quick
Answers
Answer: sure, with what though?
Step-by-step explanation:
what is a pie chart in mathematics
Answers
Answer:
A pie chart is a type of graph that represents the data in a circular graph.
Answer:
Brainliest please if this helps!
Discuss the order of operations
Answers
Answer:
The answer can be found below.
↓↓↓↓
Step-by-step explanation:
[tex]\Large\boxed{\underline{\text{ORDER OF OPERATIONS:}}}[/tex]
If you need to determine the order of operations, use PEMDAS or BODMAS, which stands for:
[tex]\underline{\text{GIVEN:}}[/tex]
PEMDAS:
Parentheses ⇒ (3+4)Exponents ⇒ 3²Multiply ⇒ 8*4Divide ⇒ 12÷4Add ⇒ 6+6Subtract ⇒ 10-5BODMAS:
BracketsOrderDivideMultiplyAddSubtractI hope this helps, let me know if you have any questions.
Jodi's car used 12 gallons of gas to travel 456 miles. How many miles did her car travel per gallon of gas?
Answers
Answer:
38
Step-by-step explanation:
If there is a constant rate of change in gas prices, all we do is divide 456 by 12 to see the price of each gallon.
Answer:
38
Step-by-step explanation:
456 divided by 12 =38.
simplify tan(a)/sin (2a)
Answers
Answer:
[tex]\frac{sec^2(a)}{2}[/tex]
Combine the terms through trigonometric identity and simplify, this should be your answer(not the actual result of the problem, just the simplified expression).
Answer:
Step-by-step explanation:
The rule is generally to reduce anything that isn't a sin(theta) or cos(theta) down to those two.
Givens
Tan(a) = sin(a) / cos(a)
sin(2a) = 2 sin(a)*cos(a)
Solution
Tan(a)/Sin(2a) = sin(a) / cos(a) // 2 sin(a) * cos(a) / 1 Invert and multiply
Tan(a)/Sin(2a) = sin(a) / cos(a) * 2 sin(a) * cos(a) Cancel and combine
Answer: Tan(a)/sin(2a) = 1 / (2* cos^2(a))
The coach of a baseball team buys 7 bats and 6 balls for $3800. Later, she buys
3 bats and 5 balls for $1750. Find the cost of each bat and each ball
Answers
2y-6=3y+5
find the value of y
Answers
Answer:
[tex]\boxed{\sf{y=-11}}[/tex]Step-by-step explanation:
GIVEN:
To find the value of y, isolate it on one side of the equation.
2y-6-3y+5
Solutions:
First, add by 6 from both sides.
2y-6+6=3y+5+6
Solve.
Add the numbers from left to right.
5+6=11
2y=3y+11
Then, you subtract by 3y from both sides.
2y-3y=3y+11-3y
Solve.
-y=11
Divide by -1 from both sides.
-y/-1=11/-1
Solve.
Divide these numbers goes from left to right.
11/-1=-11
[tex]\Longrightarrow: \boxed{\sf{y=-11}}[/tex]
Therefore, the final answer is y=-11.I hope this helps. Let me know if you have any questions.
Please help with math! :)
Answers
Answer:
1. (10,-4)
2. 12
3. 108
Step-by-step explanation:
First find the cordinate by seing were the point lands on the graph
sense it is +10 right the x = 10, and it is 4 below the origin making it a negitive 4, so u get (10,-4)
The graph is measured 2 units per box and sence the sides are parallel to the axies you can count each square by 2, giving you the measuers of 12 units.
Now finally, The area of a triangle is A=1/2bh, we arlready have our base, and we just found our hight, so now we just have to plug it in.
A= 1/2 (12) (18)
12*18 = 216
A= 1/2 (216)
A= 108
And we are done!
Help with this question
Answers
The diameter of a circle is 3 in. Find its area to the nearest hundredth.
Answers
Answer:
Step-by-step explanation:
7.07 in2.
Suppose that we have this spinner. What is the probability of landing on 2 after landing on 5?
25%
4%
10%
.2%
Answers
There are 5 numbers and only one of each number.
The probability of landing in 5 would be 1/5
The probability of landing in 2 would be 1/5
The probability of landing on 5 then 2 is 1/5 x 1/5 = 1/25 = 0.04 = 4%
answer = 4%
Answer:
Answer above is correct.
Step-by-step explanation:
A car traveled 120 miles driving 60 miles per hour. The trip took 2 hours.
If the car traveled 50 miles per hour, how much time would it take to reach the
same destination? Write your answer in hours and minutes.
Answers
120/50
2.4
So it will take 2 hours and 24 minutes (.4 of 60 to get the 24)
Ellie is buying a camera for $615.50 and a camera bag is $65.50. If the sales tax rate is 8%, what will be the amount of sales tax on Ellie's purchase? A) $35.26 B) $40.58 C) $54.48 D) $58.72
Answers
Answer:
C: $54.48
Step-by-step explanation:
--> 615.50 + 65.50 = $681.00 or $681
--> 8% of $681 is $54.48
Hope this helped! :D
Hank has 50 peso, 200 peso and 500 peso bills in his wallet. He has five less 200 bills as 50 bills, and half as many 500 bills as 200 bills. If he has Php 6250 in all, how many of each denomination does he have?
Answers
For an amount of 6250 Peso, Hank have the quantities of the following denominations: 2503 bills of 50 peso, 2498 bills of 200 peso and 1249 bills of 500 peso.
How to apply systems of linear equations in real life equations
In this question we must translate the statement of the problem into mathematical expressions and then we must solve the resulting system. We need three equations that describe the quantities of 50 peso, 200 peso and 500 peso bills:
y = x - 5 (1)
0.5 · y = z (2)
x + y + z = 6250 (3)
The solution of the system of linear equations is described below:
x = 2503, y = 2498, z = 1249
For an amount of 6250 Peso, Hank have the quantities of the following denominations: 2503 bills of 50 peso, 2498 bills of 200 peso and 1249 bills of 500 peso. [tex]\blacksquare[/tex]
To learn more on systems of linear equations, we kindly invite to check this verified question: https://brainly.com/question/20379472