Answers
Answer:
cosB = 21/75, tanB = 72/21
Step-by-step explanation:
Here, we can use pythagoras to figure out all sides. 75^2-72^2 = 21^2. So, we have sides with lengths 21, 72, and 75. We are given that sinB = 72/75. The definition of sin is opposite of hypotenuse. So, the opposite of angle B is side CA and the hypotenuse is BA. This allows us to find that BC is the 21 length side. The cos of an angle is adjacent over hypotenuse. In this case, it is BC/BA which is 21/75. similarly, Tan is opposite over adjacent or 72/21. And we are done. Those are the values. TO remember these, use the acronym:
SOH CAH TOA. S refers to sin and OH refers to opposite over hypotenuse. Similarly C is cos, A is adjacent, and H is hypotenuse, and then T is tan, o is opposite and A is adjacent.
Related Questions
Jaime needs a new roof on her house. The cash cost is $7500. She decides to finance the project by paying 20% down , with the balance paid in 36 monthly payments of $189.40. (a) What finance charge will Jaime pay? (b) What is the APR to the nearest half percent ?
Answers
Answer:
(a) What finance charge will Jaime pay?
$818.4
(b) What is the APR to the nearest half percent ?
8.5%
Step-by-step explanation:
(a) What finance charge will Jaime pay?
The cash cost is $7500. She decides to finance the project by paying 20% down
Amount paid for down payment = $7500 × 20/100
= $1500
Amount left = $7500 - $1500
= $6000
The balance paid in 36 monthly payments of $189.40.
Hence: $189.40 × 36 = $6818.4
The finance charge = $6818.4 - $6000
= $818.4
(b) What is the APR to the nearest half percent ?
Step 1
Finance charge/ Amount left × 100
= 818.4/6000 × 100
= 13.64
Using the APR table:
The APR to the nearest half percent = 8.5%
What is the value for y
When x=20
Y=-2x+8
Answers
Answer:
y = -32
Step-by-step explanation:
Y=-2x+8
Let x= 20
y = -2 * 20 +8
y = -40+8
= -32
please give answer i no wanna fail
Answers
Answer:48x14=672
139x12=1668
1668+672=2340
Step-by-step explanation:
You're finding the area of each stamp in length, so add the total area for each stamp together.
Brainly's not just for answers, it's for helping each other learn. :)
Convert y = x2 - 4x + 1 to vertex form by completing the square.
O y= (- 1)2 + 4
O y= (1 - 2)2 +5
O y= (x - 2)2 – 3
O y = (x - 4) + 1
Answers
Answer:
vertex: (-2, -3)
Step-by-step explanation:
y = x2 + 4x + 1
y = x2 + 4x + 22 + 1 - 22
y = (x + 2)2 + 1 - 4
y = (x + 2)2 - 3 in y = (x - h)2 + k, (h, k) is the vertex.
Answer:
y = (x - 2)² - 3
Step-by-step explanation:
Given
y = x² - 4x + 1
To complete the square
add/subtract ( half the coefficient of the x- term )² to x² - 4x
y = x² + 2(- 2)x + 4 - 4 + 1
= (x - 2)² - 3
What is the domain of the function below?
Answers
Answer:
[-4, 4]
Step-by-step explanation:
Domain is the set of x-values that can be inputted into function f(x).
From the graph we see that our x-values span from -4 to 4. Since both are closed dots, they are included in the domain (use brackets):
[-4, 4] or -4 ≤ x ≤ 4
Calculate the reciprocal of -0.013, correct to 1 decimal
Answers
Answer:
Step-by-step explanation:
-0.013 = [tex]\frac{-13}{1000}[/tex]
Reciprocal = [tex]\frac{-1000}{13} =-76.9[/tex]
how do you convert fractions to decimals?
Answers
Answer:
divide the fractions
Step-by-step explanation:
lets say we have 23/5
we can divide 23 by 5 and get a decimal of 4.6
or lets say we got 1/5
divide 1 by 5 and you will get 0.2
Please help!!!!
Carol's class has ninestudents on roll. newstudents join her class and the number of
students increases to 16. Which equation
represents Carol's class roster.
o 16 + X = -9
oX - 16 = 9
o 16X = 9
09 + X = 16
Answers
Answer:
9 + X = 16
Step-by-step explanation:
Given parameters:
Number of students on the roll = 9
Unknown:
The equation representing the class roster = ?
Solution:
Let the number of additional students that joined the class = x
Carol's class roster:
New number of students = number of students + additional students
16 = 9 + x
The solution of the problem is 9 + x = 16
determine the unit rate for each ratio.
The gas station charges $180 for 3 hours of work. How much
they charge for 1 hour of work?
Answers
Answer:
$60
Step-by-step explanation:
180/3 = 60
I hope this helps :)
Answer:60 per hour
Step-by-step explanation: you divide 180 by 3
Students was 1: 8. However, this year the ratio of the number of middle school students to the number of high school students changed to 2: 7. If there are 18 middle school students in the band this year, how many fewer high school students are in the band this year compared to last year? Expla
Answers
Answer:
Step-by-step explanation:
Last year
Ratio of the number of middle school students to number of high school students = 1 : 8
Total ratio = 9
Middle school = 1
High school = 8
Total students in the band = x
Middle school = 1/9x
High school = 8/9x
Total = 1/9x + 8/9x
This year
Ratio of the number of middle school students to number of high school students = 2 : 7
Total ratio = 9
Middle school = 2
High school = 7
Total students = x
Middle school = 2/9x
High school = 7/9x
Total = 2/9x + 7/9x
If there are 18 middle school students in the band this year
2/9x = 18
x = 18÷2/9
= 18 × 9/2
= 81
x = 81
Last year:
1/9x + 8/9x
= 1/9 * 81 + 8/9 * 81
= 9 + 72
= 81
This year
2/9x + 7/9x
2/9*81 + 7/9*81
= 18 + 63
=81
Change in middle school =this year - last year
= 18 - 9
= 9 (increase)
Change in high school = this year - last year
= 63 - 72
= -9 (decrease)
3/4 change 3/4 to a decimal show work
Answers
Answer:
0.75
Step-by-step explanation:
You just need to convert 3/4 into a decimal.
For example: If you get 3 out of 4 problems right on a quiz, in percent form it will be a 75%, in decimal form 0.75 because you'll move the percent sign 2 spaces to the left. That will then be a decimal if you're converting 75% to 0.75.
3 divided by 4 is also going to give you 0.75. Because, a "fraction slash" is the dividing point. So,
3/4 = 0.75
2. Determine the amount of interest owed after 2 years on a $850 loan at 12.25% if no payments
are made. LTD
Enter your answer
Answers
Question example:
The amount of interest is 208.74$
Here we have given
Amount (P)=850$
Interest (r)=12.25%
Time (t)=2 years
we have to calculate the simple interest
What is the formula for simple interest?
[tex]I=\frac{PRT}{100}[/tex]
Plug the given value in above formula
[tex]I=\frac{850*12.25*2}{100}[/tex]
Simplify above equation we get
[tex]I=\frac{850*12.25*2}{100}\\\\I=\frac{20874}{100}\\\\I=208.74[/tex]
Therefore the amount of interest is 208.74$
To learn more about the interest visit:
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A family leaves at 6:35 AM on a 225 mile trip. If the average speed is 76 miles per hour, what time will they reach their destination?
Answers
Answer: 9:32
Step-by-step explanation:
225/76 is 2.96, then you do 60x0.96 to find how many minutes that is which is 57 plus the 2 hours is 2 hours 57 minutes and when you add 2 hours 57 minutes to 6:35 you get 9:32
A and \angle B∠B are supplementary angles. If m\angle A=(5x-19)^{\circ}∠A=(5x−19)
∘
and m\angle B=(2x+10)^{\circ}∠B=(2x+10)
∘
, then find the measure of \angle B∠B.
Answers
Answer: 52
Step-by-step explanation:
4x+8 = 5x-3 by the Vertical Angles Theorem that states the vertical angles are congruent.
Subtract 4x from both sides and get:
8=1x -3
Add 3 to both sides:
11= 1x
if x =11, plug that in to angle A.
4x+ 8 becomes 4(11)+8 =
44+ 8=
52
Encuentra la ecuación del siguiente enunciado. En una caja de cartón se empacan latas de atún. Al acomodarlas, resulta que caben 5 latas más a lo largo que a lo ancho y a lo alto caben 3 latas más que a lo ancho. ¿Cuántas latas caben en total en la caja?
1 punto
x+5 = x+3
(x) (x+5) (x+3)
x3 + 8x2 + 15x
x (x+5) = x + 3
Answers
Answer:
x + (x + 3) + (x + 5)
Step-by-step explanation:
Sea x el número de latas que caben en el ancho.
Como hay 5 latas más que encajarán en la longitud, el número total de latas que encajarán en la longitud será (x + 5) latas
También caben tres latas más en la altura, la cantidad de latas que será (x + 3)
Así que ahora, el número total de latas que cabrán en la caja será;
x + (x + 3) + (x + 5)
Answer for brainliest.
Answers
Answer:
t > 28
Step-by-step explanation:
Given
[tex]\frac{t}{4}[/tex] > 7 ( multiply both sides by 4 to clear the fraction )
t > 28
Answer:
[tex]t>28[/tex]
Step-by-step explanation:
[tex]\frac{t}{4} >7\\[/tex]
Times both sides by 4
[tex]t>28[/tex]
Hope this helps and pls do mark me brainliest:)
Which is equal to 0.47?
CLEAR
SUBMIT
47
1,000
47
100
47
10
47
Answers
Answer: 47/100
Step-by-step explanation: 47/100 = 0.47.
5x - 2y= 26 y + 4 = x
Plzzz help I got 10 minutes
Answers
The Value of x and y are (x,y) = (7,3).
What is Algebraic expression ?
Algebraic expressions are numbers expressed using letters or alphabets without specifying their values. Algebra taught us how to express unknown values using letters such as x, y, and z. There can also be a single value that is placed before and multiplied by a variable in an algebraic expression in addition to these letters, which are called variables.
GIven equations are :
5x - 2y= 26.....(1)
y + 4 = x..........(2)
Solve by substitution :
substitute equation 2 in equation 1 and solve for y
5x - 2y= 26
5(y+4) - 2y = 26
5y + 20 -3y = 26
2y = 26 - 20
2y = 6
y = 3
now, the value of x will be :
x = y + 4
x = 3+4
x = 7
Therefore, The Value of x and y are (x,y) = (7,3).
Learn more about the linear equation here:
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Exercise 1. A truck has the capacity to transport up to 8 tons of a material at a time. If 104 tons of the material should be transported, how many trucks like this will be needed?
Answers
Answer:
how many trucks ?
Step-by-step explanation:
It is solved using the rule of three simple ones, where the number of trucks is for the quantity of material transported. We have that 1 is for 8 as X is for 104 (Look attached).
Multiplying cross, we have to:
8X = 104
X = 104/8
X= 13
The double number line shows the approximate number of ounces in a certain number of pounds:
Based on the number line, about how many ounces are there in 10 pounds?
Group of answer choices
144 ounces
160 ounces
176 ounces
192 ounces
Answers
Answer:
B- 160
Step-by-Step Explanation:
I did it before and I was rite, so trust me
Answer:
B 160
Step-by-step explanation:
Hummingbirds beat their wings very fast. The smaller the
hummingbird is, the faster its wings beat. The average hummingbird beats its
wings about 3 x 10 3 times a minute. How many times a minute is that, written as
a whole number?
Pls help me! I will give brainliest
Answers
Answer:
A hummingbird's heart beats from 225 times per minute when it's at rest and more than 1,200 times per minute when it is flying. Its wings beat about 70 times per second in regular flight and more than 200 times per second while diving.
Answer: A hummingbird's heart beats from 225 times per minute when it's at rest and more than 1,200 times per minute when it is flying. Its wings beat about 70 times per second in regular flight and more than 200 times per second while diving.
Step-by-step explanation:
What is the scale factor from triangle ABC to triangle PQR?
Answers
The scale factor from triangle ABC to triangle PQR is 2/3 or 3/2, depending on the direction of comparison.
To find the scale factor from triangle ABC to triangle PQR, we need to compare the corresponding side lengths of the two triangles.
Side AB corresponds to side PQ, which has a length of 6 units.
Side BC corresponds to side QR, which has a length of 9 units.
Side AC corresponds to side PR, which has a length of 12 units.
So, the scale factor from triangle ABC to triangle PQR can be found by comparing the ratio of corresponding side lengths:
AB/PQ = BC/QR = AC/PR
Using the values we found above, we can write:
|AB/PQ| = 2/3
|BC/QR| = 3/4
|AC/PR| = 4/5
Since all three ratios are equal in magnitude, we can take any one of them to be the scale factor. Therefore, the scale factor from triangle ABC to triangle PQR is 2/3 or 3/2, depending on the direction of comparison.
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Which equation represents a line that passes through (5, 1) and has a slope of 1/2?
y-5= 1/2(x-1)
y-1/2=5(x-1)
y-1=1/2(x-5)
y-1=5[x-1/2]
Answers
Step-by-step explanation:
Hey there!
The given point is (5,1) and slope is 1/2.
Let's use one point formula for finding the eqaution.
[tex](y - y1) = m(x - x1)[/tex]
Keep all values.
[tex](y - 1) = \frac{1}{2} (x - 5)[/tex]
This matches with Option C,
So, your answer is Option C.
Hope it helps...
What is an equation of the line that passes through the points (6,-4) and (1,6)?
Put your answer in fully reduced form.
Answers
Answer:
y
=
m
x
+
b
to find the equation.
y
=
−
2
x
+
8
Step-by-step explanation:
what is 1\4 x 2\5 in simplest form
Answers
Answer:
1/10
Step-by-step explanation:
1/4 x 2/5
Multiply the numerators together
2
Multiply the denominators together
20
So it is 2/20
Simplify.
1/10
Hope I helped :)
Please consider Brainliest :)
Answer:
x/10
Step-by-step explanation:
Kerri has to be at school by 8:11. It takes her 5 minutes to brush her teeth, 9 minutes to shower, 15 minutes to dry her hair, 14 minutes to eat breakfast and 18 minutes to walk to school. What time will she need to get up?
Answers
Answer:
7:10
Step-by-step explanation:
18+14+15+9+5 = 61 minutes
Answer:
7:10
Step-by-step explanation:
5+9=14
14+15=29
29+14=43
43+18=61
60 minutes in an hour with one minute left behind.
8-1=7
11-1= 10
7:10
plz help asap nowwww
Answers
Answer:
10 to the power of 5 is 50 so do 50 times 3.8 and 10 to the power of 4 is 40 so do 40 times 5.9
Write an integer to represent the following situation:A loss of 20 yards
Answers
Answer:
wth is your pfp lol I'm sory
The correct integers to represent the situation ''A loss of 20 yards'' is,
⇒ - 20
What is mean by Subtraction?Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.
We have to given that;
The situation is,
⇒ A loss of 20 yards.
Since, Here A loss of 20 yards.
Hence, It represented by the integer '- 20' because of loss.
Thus, The correct integers to represent the situation is,
⇒ - 20
Learn more about the subtraction visit:
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PLEASE HELP WILL MARK BRAINLIEST FOR RIGHT ANSWER!!
Answers
Answer:
Population 2 pattern is that every year the population goes down by 2
Step-by-stepation:
If the 16 boys in the classroom are 40% of the class how many students are there in the class
Answers
Answer:
56
Step-by-step explanation:
40+16=56
Answer:
40
Step-by-step explanation:
Set up the equation.
Let the full number of people in the classroom = x
(40%) x = 16 Change 40% to a fraction
(40/100) x = 16 Reduce 40/100 to a decimal
0.4 x = 16 Divide by 0.4
0.4/0.4 x = 16/0.4
x = 40