Answer:
see explanation
Step-by-step explanation:
(a)
The sum of the 3 angles in a triangle = 180°
Subtract the sum of the given angles from 180° for B
∠ B = 180° - (90 + 63)° = 180° - 153° = 27°
(b)
Using the sine ratio in the right triangle
sin63° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{15}{x}[/tex] ( multiply both sides by x )
x × sin63° = 15 ( divide both sides by sin63° )
x = [tex]\frac{15}{sin63}[/tex] ≈ 16.8 ( to 1 dec. place )
(c)
Using the tangent ratio in the right triangle
tan63° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{15}{y}[/tex] ( multiply both sides by y )
y × tan63° = 15 ( divide both sides by tan63° )
y = [tex]\frac{15}{tan63}[/tex] ≈ 7.6 ( to 1 dec. place )
Point F is on line CD. Find the measure of angle CFE. Show your work.
Answer:
CFD = 180
EFD= 152
180-152= 28
CFE= 28
Step-by-step explanation:
Question 5 (1 point) 5 The Cool Shirts company prints personalized designs on T-shirts. The cost y for x shirts with the same design is shown in the table below. y 10 $105 20 $185 30 $265 4:0 $345 Which equation represents the relationship between x and yo! A y = 10x - 55 By = 80x + 105 C y = 8x + 25 D y = 25x + 8 a А B od
Answer:
y = 8x + 25
Step-by-step explanation:
Using the coordinates (10, 105) and (20, 185)
The standard linear equation is expressed as y = mx+c
m is the slope
c is the intercept
m = 185 - 105/20-10
m = 80/10
m = 8
Get the y-intercept
Since y = mx+c
105 = 8(10) + c
105 = 80 + c
c = 105 - 80
c = 25
Get the required equation
Recall that y = mx+c
y = 8x + 25
Hence the required equation is y = 8x + 25
can someone help me with this???
Answer:
it's 47 degree answer of your question
Use the following function rule to find f(-62). help plz!!
Answer: 8
Step-by-step explanation: plug in -62 as equal to x
Send help plsssss math is difficult
how many vertices does this shape have? (Multiple choice)
Answer:
10
Step-by-step explanation:
udent
You roll a number cube two times. Which of the theoretical probabilities are accurate?
Check all that apply.
OP(1 then 0) = }
Pleven number then odd number) = 4
P(6 then 2) = 36
Pleven number then 5) = 12
ook
ons
ative
Plodd number then 2) =
HELP
Answer:
B ; C ; D
Step-by-step explanation:
Number of faces on a number cube = 6
Sample space = (1, 2, 3, 4, 5, 6)
P(1 then 0)
P(1) = 1/6 ; P(0) = 0
P(1 then 0) = 1/6 * 0 = 0
P(even number then odd number) :
P(even number) = 3/6 = 1/2
P(odd) = 3/6 = 1/2
P(even number then odd number) = 1/2 * 1/2 = 1/4
P(6 then 2) :
P(6) = 1/6 ; P(2) = 1/6 = 1/2
P(6 then 2) = 1/6 * 1/6 = 1/36
P(even number then 5) :
P(even) = 3/6 = 1/2
P(5) = 1/6
P(even number then 5) = 1/2 * 1/6 = 1/12
P(odd number then 2) :
P(odd) = 3/6 = 1/2
P(2) = 1/6
P(odd number then 2) = 1/2 * 1/6 = 1/12
Help, so You pick a card at random. Without putting the first card back, you pick a second card at random. There are 3 cards, a 5 a 6 and a 7 What is the probability of picking a 5 and then picking a 6?
Given:
There are 3 cards, a 5 a 6 and a 7.
You pick a card at random. Without putting the first card back, you pick a second card at random.
To find:
The probability of picking a 5 and then picking a 6.
Solution:
We have,
Total number of cards = 3
Number of card of 5 = 1
So, probability of getting a card of 5 is:
[tex]P(5)=\dfrac{\text{Number of card of 5}}{\text{Total number of cards}}[/tex]
[tex]P(5)=\dfrac{1}{3}[/tex]
After this selection, the remaining number of cards is 2. So, probability of getting a card of 6 in second draw is:
[tex]P(6)=\dfrac{\text{Number of card of 6}}{\text{Total number of remaining cards}}[/tex]
[tex]P(6)=\dfrac{1}{2}[/tex]
Now, the probability of picking a 5 and then picking a 6 is
[tex]P(\text{5 then 6})=P(5)\times P(6)[/tex]
[tex]P(\text{5 then 6})=\dfrac{1}{3}\times \dfrac{1}{2}[/tex]
[tex]P(\text{5 then 6})=\dfrac{1}{6}[/tex]
Therefore, the probability of picking a 5 and then picking a 6 is [tex]\dfrac{1}{6}[/tex].
When Camden runs the 400 meter dash, his finishing times are normally distributed with a mean of 65 seconds and a standard deviation of 1.5 seconds. Using the empirical rule, determine the interval of times that represents the middle 68% of his finishing times in the 400 meter race.
Answer:
63.5, 66.5
Step-by-step explanation:
Approximately 68% of Camden's finishing times fall within the interval from 63.5 seconds to 66.5 seconds.
What is the empirical rule?The empirical rule states that for a normal distribution, approximately 68% of the data lies within one standard deviation of the mean, approximately 95% of the data lies within two standard deviations of the mean, and approximately 99.7% of the data lies within three standard deviations of the mean.
Since we want to find the interval that represents the middle 68% of Camden's finishing times, we need to find the range of times that are one standard deviation above and below the mean.
The mean of Camden's finishing times is 65 seconds, and the standard deviation is 1.5 seconds, so the interval that represents the middle 68% of his finishing times is:
[65 - 1.5, 65 + 1.5] = [63.5, 66.5] seconds
This means that approximately 68% of Camden's finishing times fall within the interval from 63.5 seconds to 66.5 seconds.
Learn more about the empirical rules here:
brainly.com/question/27914019
#SPJ2
4.
Match the graph with its equation.
A. y = 3
B. y = –3
C. x = –3
D. x = 3
Answer:
D. x = 3
Step-by-step explanation:
Graph the line using the slope and y-intercept, or two points.
Slope: Undefined
y-intercept: No y-intercept
x
y
3
0
3
1
Solve each system of linear equations by using substitution method.
x - y = -2
2x + y =5
100 POINTS PLS ANSWER
Answer:
x = 1, y = 3
Step-by-step explanation:
Given:
x - y = -2
2x + y = 5
First, add y on both sides for the first equation.
x = y - 2
Then, plug in x into the second equation.
2(y -2) + y = 5
2y - 4 + y = 5
3y = 9
y = 3.
Next, now that you've found y, plug it into either the first or second equation to solve for x. I'll be using the second equation.
2x + 3 = 5
2x = 2
x = 1.
Ans: x = 1, y = 3
PLEASE HELP ME THIS IS URGENT
Split this figure out. Find the area of the square, as well as the rectangle.
First, the square
A= 4 x 3
A= 12 ft^2
Therefore, the square has an area of 12ft^2.
Then, the rectangle.
We must first find the length of the unknown side.
We have two measurements of 3ft on each side, as well as the middle measurement of 4ft.
So,
3+3+4=10
Now, find the area.
A= 2 x 10
A=20ft^2
Add the areas.
20+12=32ft^2
Therefore, the area of the figure is 32ft^2.
I hope this is correct. Best of luck.
Which is equivalent to 1/2? Select all that apply
Answer:
options man?
Step-by-step explanation:
1/2 = 2/4 = 3/6 = 4/8 = 5/10 = 6/12 = 7/14 = 8/16 = 9/18 = 10/20 = 11/22 = 12/24
1/2 = 25/50 = 50/100 = 100/200 = 150/300 = 200/400 = 250/500
Answer:
a sin 30
Step-by-step explanation:
i just need more points
What two integers have a sum of -19 and a product of 84?
-7 x -12
7x12=84
7+12=19
Please help!!! 20 points
Answer:
4) 2xy(x^2-2x-8) 2xy(x-4) (x+2)
5) 3(x^2-9x-10 3(x+1) (x-10)
Step-by-step explanation:
Help me plzzz I need area and perimeter
Answer:
Area = 37.5
Perimeter = 36
Step-by-step explanation:
Have a good day! :)
Ps: I am not sure my method of finding area is correct
I will put the method in the comments
how to find the P: To find the p of Any Shape is the same formula, adding all the sides up. So to find the p of this shape all you need to do is add all the sides up. 3+12.5+7.5+13. Add these up and you get the P
Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
I don't want links.
I don't want links.
I don't want links.
Answer:
I believe it is D
Step-by-step explanation:
We can first multiply the 2 and 4 together to get 8.
Wow we already eliminated A.
When you have negative powers, you can just replace it with their inverse and turn the power positive.
For example, 2 to the power of -3 (2 ^ -3) can be replaced by 1/2 to the power of 3 (1/2^-3).
So we now have 8 (x^4 / yx^2
We can then just subtract the x's power of 2, because when dividing exponents with the same variable or base, we can just subtract them.
For example, x^5 divided by x ^ 2 has the same base/ variable of x, and you can subtract the 5 by 2 to get x^3.
So we have 8 ( x^2y)
So 8x^2 y
D.
hello please help i’ll give brainliest
Answer:
2nd and 3rd OptionsStep-by-step explanation:
As,
These two,
A large rock breaking down into smaller rocks, and water carving a canyon out of the ground
Are physical changes within the Earth's system
Answer choices are
A. 4
B. 6
C. 8
D .10
Answer:
c us the correct answer for this question
could ya'll help me you know I'm bad at it
Answer:
Jane has 30 different outfits she can choose from.
Step-by-step explanation:
Jane has 3 pairs of pants, 5 shirts for each pair of pants, and 2 shoes for each shirt. So the total amount of different outfits she can wear is [tex]3 * 5*2[/tex] = 30 different outfits.
which number sentence is true? plz help
3 boxes on top
8 boxes on the bottom
2/3 < 6/8
2/3 < 2/8
1/8 > 1/3
3/3 < 3/8
Answer:
True: 2/3 < 6/8Step-by-step explanation:
The rest are incorrect.
please help i will give brainliest
Answer:
Step-by-step explanation:
P=3/6 ×5/26=5/52
2.for Corner
P=3/6×5/26=5/52
3. for Cecilia
P=2/6×5/26=5/78
PLS HURRRRRRRYYYYY TYYY
Answer:
It's 15.70796. Won't go in-depth since time seems to be of the essence
Step-by-step explanation:
Won't go in-depth since time seems to be of the essence
Taylor bought a watch on sale for 60% off of the original price, and another 10% off of the discounted price. If the watch originally cost $82, what was the final sale price?
Answer:
I think the answer is $4.92.
Step-by-step explanation:
Although the answer seems a little unreasonable, I think this is the answer:
$82 * 60% = $49.2
49.2 * 10% = $4.92
Please mark brainliest if correct!!!!!!!!!!!!!!! have a nice day!!
Please help!
Use the quadratic formula to solve 2x^2=5x+6. Leave your answer in radical form. Show all of your work!
Answer:
roots are [(5 - [tex]\sqrt{73}[/tex]) / 4] and [(5 + [tex]\sqrt{73}[/tex]) / 4]
Step-by-step explanation:
[-b ± √b² - (4ac)] ÷2a
2x² - 5x - 6 = 0
a = 2
b = -5
c = -6
[5 ± √5² - 4(2)(-6)] ÷ 2(2)
[5 ± √25 - (-48)] ÷ 4
[5 ± √73] ÷ 4
7 times 6 pls answer this
Answer:
42
Step-by-step explanation:
7 * 6 = 42
Hope this helps!
Answer:
42
Step-by-step explanation:
6 x 7 =42
Hope this helps! Please mark brainiest!
Solve for x to the nearest tenth.
х
3
7
3
20 POINTS
Answer:1.7
Step-by-step explanation:
i need help pls and thxs
Answer:
Step-by-step explanation:
132 degrees
help me pls and thank you
Answer: it’s 24
Step-by-step explanation: I need brainliest for next rank I’d appreciate it
Answer:
24
Step-by-step explanation:
help me and please tell me how did you get the answer
Answer:
The sum is 10
Step-by-step explanation:
Given: 2 1/2 + 2 1/2 + 2 1/2 + 2 1/2
Rewrite: 4(2 1/2)
Make fraction improper: 4(5/2)
Distribute: 20/2
Simplify: 10