9514 1404 393
Answer:
8.6 cm
Step-by-step explanation:
We notice the hypotenuse is given, and the desired length is of the side opposite the given angle.
The mnemonic SOH CAH TOA reminds you of the relevant relationship:
Sin = Opposite/Hypotenuse
sin(35°) = x/(15 cm) . . . . . . fill in the given information
We can multiply by 15 cm to find the value of x.
x = (15 cm)sin(35°)
x ≈ 8.6
_____
For those inclined to copy this answer to a different question, we suggest ...
y = (15 cm)cos(35°) ≈ 12.3 cm
Answer: 8.603646545 or rounded to the nearest tenth 8.6
Step-by-step explanation:
you are going to have to use (sin). so,
(15)sin(35)
8.603646545 or 8.6
this is correct.
What is the slope of a line that passes through the points (-3, 2) and (-6, 5)?
A. 3
B. - 1
C. 1/3
D. 1
Which three side lengths best describe the triangle in the diagram?
Answer:
D
Step-by-step explanation:
the hypotenuse is 10 cm one leg is 8 cm and the other leg is 6 cm
What is the value of x that makes this figure correct? *
Answer:
8
Step-by-step explanation:
Opposite angles are equal so
4x+12=44
4x=32
x=8
Evaluate the expression for k = 2.
4k2 =
Answer:
16
Step-by-step explanation:
4*2*2
8*2
16
3x-5/6=1/6 what does x=?
Answer:
x = 2
Step-by-step explanation:
[tex]\frac{3x-5}{6} = \frac{1}{6} \\[/tex]
In order to solve this, you must get the denominator off of the left-hand side of the equation, by multiplying 6 on each side, in order to get the denominators to cancel. This leaves you with:
[tex]3x-5 = 6/6\\3x-5 = 1[/tex]
Then, you add 5 to each side.
[tex]3x = 6[/tex]
Divide by 3, to get x by itself.
[tex]x = 2[/tex]
Which gets us to our final answer of x = 2.
Then, you can plug x back into the equation just to double-check yourself:
[tex]\frac{3(2)-5}{6} = \frac{1}{6} \\\\\frac{6-5}{6} = \frac{1}{6}\\\\\frac{1}{6} = \frac{1}{6}[/tex]
I hope that this helped you understand to concept a little better. Good luck.
What is the degree of the polynomial below?
4x2+3x2 +6x+5
A. 3
B. 0
C. 1
O D. 2
m
m
=
5m+100°
2m+10°
Answer:
m= 20 for one becouse 5×20 is 100
m= 5 because 5×2 is 10
or do 5÷100 that is 20
and 2÷10 that is 5
Deana made a scale drawing of her patio using a scale of 1/2 cm =1 foot what is the actual width, in feet, of deanas patio
Full question attached
Answer and explanation:
Given that 1/2cm= 1 foot
5cm= 2×5=10 feet
Length is twice the width, therefore real length of shape = 10×2=20 feet
Perimeter is sum of all sides= 20 feet+20 feet+10 feet+10 feet = 60 feet
Therefore Deana's Patio= 60 feet in real length
Answer:
60
Step-by-step explanation:
Pablo uses 13.5 cups of flour to make 6 batches of muffins. How many cups of flour did he use per batch?
What is the first step in evaluating the expression (5 + 8 ÷ 4 × 3)^2 − 7?
In a science test, Jayden solved 42 correct and 18 incorrect answers. What is the percentage of correct questions?
Your friend says that the table represents an exponential function because y is multiplied by a constant factor. Is your friend correct? Explain.
A.Yes. Because y is multiplied by a constant factor, the function is exponential.
B.Yes. Because y increases by greater amounts as x increases, the function is exponential.
C.No; Because y is multiplied by a constant factor, the function is not exponential.
D. No; Because x increases by different amounts, the function is not exponential.
x: 0,1,3,6
y: 2,10,50,250
Answer:
C.No; Because y is multiplied by a constant factor, the function is not exponential.
Step-by-step explanation:
For a set of number to be exponential, there is need for it to show a logical increase of a given time frame when the set of number is multiplied by a constant factor. In the table given, though the Y function is multiplied by a constant factor, the increase of the function is irregular so therefore cannot be said to be exponential.
what is 1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19+20-19-18-17-16-15-14-13-12-11-10-9-8-7-6-5-4-3-2-1=?
Answer:
It's 20
Step-by-step explanation:
Adding and Subtracting
~~~~~~~~~~~~~~~~~~~~~~~~~
GL :)
Evaluate each expression:
1. (-1) x 2 x 3
2. (-1) x (-2) x 3
3. (-1) x (-2) x (-3)
Need Answer for all the expressions.
If the cost of 4 pears and 2 peaches equals $1.00 and the cost of 2 pears and 3 peaches equals $0.70 how much does each pear and each peach cost
Answer:
20 p per pear 10p per peach
Step-by-step explanation:
Hope this helps
Answer:
1 pear costs 20 cents. 1 peach costs 10 cents.
Step-by-step explanation:
x represents pears
y represents peaches
4x + 2y = 1
2x + 3y = 0.7
multiply the second equation by -2 to elimate the x variable
(2x +3y = 0.7) -2 = -4x - 6y = -1.4
add the new equation to the first original one:
4x + 2y = 1
-4x - 6y = -1.4
-4y = -0.4. divide both sides by -4, y = 0.10
plug in y = 10, solve algebraically and get x = 0.20
Lastly, check your work:
4(0.20) + 2(0.10) = 1
2(0.20) + 3(0.10) = 0.7
How is algebra advancing human knowledge and technological innovation?
add 1/5 add 2/7 plz help
Answer:
17/35
Step-by-step explanation:
Answer:
17/35
Step-by-step explanation:
Math-way
In her proof, Ensley wrote the formula Va + b = c? Which of the following explains why her formula
is incorrect?
A. The sum of the square of a and the square of b should be equal to the square root of c.
B. The square root of the sum of a and b should be equal to the square root of c.
C.The sum of the square of a and the square of b should be equal to the square of c.
D.The sum of the square root of a and the square root of b should be equal to the square of c
Answer:
C. a^2 + b^2 = c^2
Step-by-step explanation:
Find the simple interest earned on a deposit of $2,800 that earns 2% annual interest after 5 years.
$28,000
$28,000
$30,080
$30,080
$2,420
$2,420
$280
What is the sum of 25% of 2018 and 2018% of 25?
Answer:
1009
Step-by-step explanation:
0,25 x 2018 = 504,5
20,18 x 25 = 504,5
504,5 + 504,5 = 1009
Answer:
1,009
Step-by-step explanation:
[tex] \frac{25}{100} \times 2018 = 504.5[/tex]
[tex] \frac{2018}{100} \times 25 = 504.5[/tex]
[tex]504.5 + 504.5 = 1009[/tex]
hope it helps you ☺️
What is the rate of change? I will give u a crown if ur right just help ASAP
Answer:
-2 because rise over run is -2/1 or -2
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
The rate of change is the slope.
A slope that goes down to the right is negative. This line has a negative slope.
Now we will find the exact value of the slope.
slope = rise/run
rise = vertical distance (up is positive; down is negative)
run = horizontal distance (right is positive; left is negative)
Start at an easy-to-read point. Let's start at (0, 1) which is the y-intercept.
Now we need to go to another easy-to-read point. Let's use (1, -1) as our second point.
(By easy-to-read points, I mean points on grid line intersections whose coordinates can be read easily off the graph.)
We need to go from (0, 1) to (1, -1) by only moving vertically and horizontally. Start at (0, 1). We go vertically down 2 units and then horizontally right 1 unit to get to (1, -1). Going vertically down 2 units is a rise of -2. Going horizontally right 1 unit is a run of +1.
slope = rise/run = -2/1 = -2
slope = -2
The rate of change is the slope.
Answer: rate of change = -2
A race car can travel at a speed of 3.4 x 10^2 miles/hour. The Speed of Sound is approximately 7.6 × 10^2 miles/hour. How many times faster is the Speed of Sound than the Bullet Train?
Answer:
The speed of sound is 2.23 times of the speed of race car
Step-by-step explanation:
Given that,
The speed of a race car = [tex]3.4\times 10^2\ mi/h[/tex]
The speed of sound = [tex]7.6\times 10^2\ mi/h[/tex]
Dividing the speed of sound to the speed of a race car. So,[tex]\dfrac{\text{speed of sound}}{\text{speed of race car}}=\dfrac{7.6\times 10^2}{3.4\times 10^2}\\\\\dfrac{\text{speed of sound}}{\text{speed of race car}}=2.23[/tex]
So, the speed of sound is 2.23 times of the speed of race car.
One page of a petition can hold p signatures. You were able to get 4p+5 people to sign the petition. Your friend was able to get 2p−3 people to sign the petition. Write an expression in simplest form that represents the number of people that you and your friend got to sign the petition.
Answer:
6p - 2
Step-by-step explanation:
The expression that needs to be made in this question refers to the total number of people that signed the petition. To calculate this we need to add the total number of signatures that both you and your friend were able to acquire. Once we do this we simply combine like terms in order to simplify the expression as much as possible.
4p + 5 + 2p - 3
4p + 2p + 5 - 3
6p - 2
Therefore, the total and simplified expression for the total number of signatures would be 6p - 2
I NEED HELP SOMEONE ASAP
Answer: x⁴y²⁰
Step-by-step explanation: Distribute the exponent ⁴ over the parentheses
(x y⁴)⁴ becomes x⁴y¹⁶ (multiply exponents)
then take the 4th root of y¹⁶ (divide the exponent of the radicand by the index) ⁴√y¹⁶ becomes y⁴
Then multiply the factors. Add exponents
x⁴y¹⁶ * y⁴ becomes x⁴y²⁰
For the function f(x)={−x+3,x>02x+3,x≤0, what is the average rate of change over the interval 1 ≤ x ≤ 3?
Answer:
3432
Step-by-step explanation:
Answer:
-1
Step-by-step explanation:
The volume of the cone shown is 6 cubic inches. What is the height of a cone with the same base diameter but a volume of only 3 cubic inches?
Answer:
9
Step-by-step explanation:
6=3
A person rented a canoe for 4 hours a paid total of $36. If renting the canoe costs an initial fee of $12 plus an additional amount for each hour the canoe is rented, which graph represents the total cost, y, in dollars, of renting the canoe for x hours.
Answer:
do you have a picture of the graph??
if not, the canoe is 6$ and hour and the equation to solve was
36=4x+12
Step-by-step explanation:
hi plsss help me
and also pls show work
Answer:
bro i've had someone delete my answers... LIKE OVER 80
Step-by-step explanation:
what is 0 + 0? I NEED HELP PLS RN RN IM GETTING GRADED ON THIS PLS HELP WILL MARK BRAINLIEST PLS HELP
Answer:
0
Step-by-step explanation:
Because you just do 0+0
the width of a rectangle is 2/3 length, The perimeter of the rectangle is 100 ft. What is the width, in feet, of the rectangle.
Answer:
The width would be 20 and the length would be 30
Step-by-step explanation: