Answer:
45.7
Step-by-step explanation:
Hello there!
We can calculate the missing angle using trigonometry
here are the trigonometric ratios
sin = opposite over hypotenuse
cos = adjacent over hypotenuse
tan = opposite over adjacent
We are given x's opposite side length (8) and x's adjacent side length (7.8)
we are given the information to use the trigonometric ratio tangent
so now we create an equation (remember tan - opposite over tangent)
[tex]tan(x)=\frac{8}{7.8}[/tex]
now we solve for x
[tex]\frac{8}{7} =1.025641026[/tex]
we're left with
[tex]tan(x) =1.025641026[/tex]
finally we want to get rid of the tan
To do so we take the inverse of tan (arctan^-1) and apply it to each side
[tex]arctan^-^1tan(x)=x\\arctan^-^1(1.025641026)=45.7252243[/tex]
so x = 45.7252243
finally we round to the nearest tenth and get that the answer is
45.7
y = -2x + 5
4x + 2y = 10
Please show your work!!!
Answer:
The answer is ( X , - 2x + 5)
if you click the image it will show you how to solve the equation. I hope this helps you :)
Which expression represents the series 1+5+25+125+625
Answer:
Step-by-step explanation:
which of these expressions will return the same value for PV
Answer:
C
Step-by-step explanation:
6. What percentage of the children in class 5 is a member of a sports club? 3
Result sports questionnaire
for: class 5
“Are you a member of a
sports club?
yes: 15
no:5”
Answer:
75%
Step-by-step explanation:
Let x be the percentage for sports club members.
x% of 20 = 15
x/100 x 20 = 15
x/5 = 15
x = 75
Trying again, but im attaching the screenshot this time!
Answer:
the area of a triangle is 9 because 4.24 times 4.24 equals 17.9776 estimated is 18 divided by 2 is 9 times 4 is 36. Now we divide 36 by 2 so we know what the area of the two trapezoids so we know the top and the bottom which is 18. The area of the square in between the triangles is 4.24 times 6 which is 25.22 estimated is 26. Now we add 26 with 18 which is 34. Now we have to find the area of the rectangle to do this we need to multiply 7.24 and 2 we need to do this so we know the length of the rectangle which is 14.48 estimated is 14. Now that we know the length we multiply it with the height which is 6, 14 times 6 equals 84.
84 is the rectangles area and the area for the trapezoids is 36.
84 plus 18 plus 18 equals 120 squared
A plane intersects the center of a sphere
with a volume of about 9,202.8 m3. What is
the area of the cross section? Round to the
nearest tenth.
Answer:
530.66
Step-by-step explanation:
The computation of the area of the cross section is shown below
Given that
Volume = 9208 m^3
Now let us assume the radius be r
So volume = 4 ÷ 3 πr^3
9202.8 × 3 ÷ 4π = r^3
27,608.4 ÷ 4 × 3.14 = r^3
27,608.4 ÷ 12.56 = r^3
2,198.12 = r^3
r = 13
Now the area of the cross section is
= πr^2
= 3.14 × (13)^2
= 530.66
fish swims at an altitude of -20.2 meters. A bird flies at an altitude of 38.1 meters. Which of the following statements are true? PLZ HEPPO
Answer:
D and e
Step-by-step explanation:
Help pls for brainlest and extra points i need done soon
Answer:
5/6= 10/12
12/100<10/12
2. Find the missing side length.
Round answers to the nearest tenth.
13
29°
Х
Answer:
50
Step-by-step explanation:
Since it's a right angle, it's automadically 90 degrees. Add 29 + 13 which gives you 42. 90 - 42 gives you 48. Rounded to the nearest 10th is 50. Here's what I explained in numerical form:
29 + 13 = 42
90 - 42 = 48
Five or more raise the score. For or less turn to zero:
48
8 is larger than 5 so you add "plus 1" to the next number:
50
The relationship between income (I), in dollars, and the time (h), in hours, for 2 different jobs is represented. Compare the hourly rates of Job A and Job B.
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete. However, I will solve using the following assumptions.
Job A:
[tex]y = 2x + 5[/tex]
Job B
[tex]\begin{array}{cccccc}x & {1} & {2} & {3} & {4} & {5} \ \\ y & {6} & {10} & {14} & {18} & {22} \ \end{array}[/tex]
The first step is to calculate the rate of Job B using:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where:
[tex](x_1,y_1) = (1,6)[/tex]
[tex](x_2,y_2) = (2,10)[/tex]
So, we have:
[tex]m = \frac{10 - 6}{2 - 1}[/tex]
[tex]m = \frac{4}{1}[/tex]
[tex]m = 4[/tex]
So, the hourly rate of job B is $4/hr
For Job A:
[tex]y = 2x + 5[/tex]
A linear equation has the form:
[tex]y = mx + b[/tex]
Where m is the rate
By comparison:
[tex]m = 2[/tex]
So, the hourly rate of Job A is $2/hr
Comparing both rates, we can draw the following conclusions;
The hourly rate of Job A is greater than the hourly rate of Job BThe hourly rate of Job A is twice the hourly rate of Job B.I NEED HELP PLZZ THE IS DUE TODAY PLZZ thank you
what's the answer? I don't get it
- 1/2 X + 3 = 1/4 (X-12)
Answer:
i think x=8
Step-by-step explanation:
A fitness trainer sets the incline on a
treadmill to 7º. The walking surface is 5
feet (60 inches) long. Approximately how
many inches did the trainer raise the
end of the treadmill from the floor?
Answer:
Step-by-step explanation:
sin Ф equal the opposite leg of the triangle dividend by the hypotenuse
sin Ф = opp / hyp
the problem gave you the Ф (the angle 7°)
and the length of the hypotenuse (the walking surface 60 inches)
You want to use the inches since the question wants to know how many inches off the floor is the end of the walking surface
sin 7 = opp / 60 solve for opp
60 × sin(7) = opp use your calculator, I don't have one handy
In a recent survey of 700 people, 15% said that red was their favorite color. How many people said that red was their favorite color?
Answer:
Answer: 105
Step-by-step explanation:
In a recent survey of 700 people, 15% said that red was their favorite colour. 105 people said read was their favorite colour.
Answer:
105
Step-by-step explanation:
X to the fourth power minus Y to the fourth power
Answer:
[tex](x - y) \times (x + y)( {x }^{2} + {y}^{2} )[/tex]
Step-by-step explanation:
[tex](x ^{2} - y ^{2} ) \times (x ^{2} + y ^{2} )[/tex]
[tex] ({x} - y) \times (x + y) \times {x }^{2} + y ^{2} )[/tex]
Your employer tells you that the salary for your new job will be less than $484 per week but not less than $396 per week. Which inequality describes your salary, S?
I think the inequality is less than or equal to (here what the sign looks like ≤ )
PLEASE HELP I AM ABOUT TO FAILL
Suppose that a plano cost 5,000 and loses 20% of its value oach year. table shows the value, of a piano after years.
1. 5000
2. 4000
3. 3200
write an equation that can be used to find the value of the piano, v, after t years.
Answer:
Step-by-step explanation:
90
Based on the information, the value of the piano after 16 years is $140.74.
What is Compound interest?Compound interest is a method of calculating the interest charge. In other words, it is the addition of interest on interest.
Using this formula to find the value of the piano, v, after t years.
CP = Principal(1-rate)[tex]^t[/tex]
Where:
Principal=$5,000
Rate=20%
Number of year = 16 years
Let plug in the formula;
=5,000(1-0.20)^16
=5,000(.80)^16
=$140.737
= $140.74 (Approximately)
Hence, the value of the piano after 16 years is; $140.74.
Learn more about interest here;
https://brainly.com/question/1548909
#SPJ2
simplify the following and write in exponential from
2³x3³
Answer:
6³ because 2³ and 3³ can be multiplied because they are to the same power, and keep the same power. Also, 6³ is 216.
Hope this helps!
I need help on this right now please help ASAP!!!
Answer:
C would be your answer
Step-by-step explanation:
There are two mystery numbers. The sum of 2 times the first number and 5 times the second number is -5. The sum of 3 times the first number and 10 times the second number is -5. What are the two numbers?
Answer:
the two numbers are -5 and 1
Step-by-step explanation:
Let x and y be the first number and second number respectively.
According to the question, we can find 2 equations:
2x + 5y = -5
3x + 10y = -5
On solving,
x = -5
y = 1
Answer:
X=-5,Y=1
Step-by-step explanation:
First equation: 2X+5Y=-5
Second equation:3X+10Y=-5
If we subtract the first from the second equation
(3X+10Y)-(2X+5Y)= 0 so, X+5Y= 0
So X= -5Y .then substitute in the second equation
So ,3(-5Y)+10Y= -5 , therefore -15Y + 10Y=-5 so, -5Y=-5 which means that Y=1
Then substitute with that in the first equation so 2X+5= -5
2X= -10 therefore X=-5
Plsss help I have a couple min left plssss
Answer:
here is the answer
Step-by-step explanation:
the first one the slope is 2
the second one the slope is -3
the slope is always the one with the x and the second one without the x is the y axis
Mr. and Mrs. Doran have a genetic history such that the probability that a child being born to them with a certain trait is 37%. If they have six children, what is the probability that at most one of their six children will have that trait? Round your answer to the nearest thousandth.
Answer:
Yes
Step-by-step explanation:
Answer:
Sum: 0.78619≈0.786
Step-by-step explanation:
n=4
r=1, 2, 3, 4
r=1,2,3,4
"At least" counts up.
p=32\%=0.32
p=32%=0.32
q=1-0.32=0.68
q=1−0.32=0.68
The chance a success does NOT occur.
_{n}C_{r}p^rq^{n-r}
The probability that at most one of their six children will have that trait is 0.68
How to determine the probability?From the question, the given parameters are
Number of children, n = 6
Probability of a child with the trait, p = 37%
The required probability that at most one will have that trait is represented as P(x ≤ 1)
This probability is calculated ;
P(x ≤ 1) = P(0) + P(1)
Where
P(x) = ⁿCₓ * pˣ (1 - p)ⁿ⁻ˣ
So, we have
P(x ≤ 1) = ⁷C₀ (37%)⁰ (1 - 37%)⁷⁻⁰ + ⁷C₁ (37%)¹ (1 - 37%)⁷⁻¹
Evaluate;
P(x ≤ 1) = ⁷C₀ * 1 * (63%)⁷ + ⁷C₁ * (37%) * (63%)⁶
So, we have;
P(x ≤ 1) = 1-0.32= 0.68
Hence, the probability is 0.68
Read more about probability at
brainly.com/question/251701
#SPJ2
(a) All even numbers are divisible by 2.
Side c on a right triangle is ALWAYS the longest.
O No answer text provided.
O No answer text provided.
O True
O False
Answer:
the answer should be false..
(-1)^2 × (-1)^3 × (-1)^5
Answer:
1
Step-by-step explanation:
(-1)^2 = 1
(-1)^3 = -1
(-1)^5 = -1
(1) (-1) (-1) = 1
3y (3x - 1) - ( 3x - 1) tama "termino común"
Answer:
9xy-3x-3y+1
Step-by-step explanation:
3y(3x-1)-1(3x-1)
Use special right triangle find the exact value of x.
X=?
Answer: 12
Step-by-step explanation:
What is another way of writing 5(6+3) using to distribute property
Answer:
The multiplication of 5(6) and 5(3) will each be done before you add.
5(6) + 5(3) = 30 + 15 = 45. Note that the answer is the same as before.
Step-by-step explanation:
hope this helps...
have a nice weekend ヽ(ヅ)ノ
oh and if i was supposed to follow something sorry cuz i can't see the pic...
What is the sum of
9
16
and
5
16
Answer:
7/8 step by step
Step-by-step explanation:
9/26 +5/16 = 14/16
simplify
7/8
HELLLLLP MEEEE IDENTIFY THE HEIGHT
Answer:
11
Step-by-step explanation:
The height is 11 inches.