Answers
Answer:
x = 90
y = 43
Step-by-step explanation:
[tex] In\: \triangle ABC\\
AB = AC.... (given)
\therefore m\angle ABC = m\angle ACB\\[/tex] (Property of isosceles triangle)
[tex] \because m\angle ACB = 47\degree \\
\therefore m\angle ABC = 47\degree \\
2y\degree + 47\degree+47\degree = 180\degree \\
2y\degree + 94\degree= 180\degree \\
2y\degree = 180\degree - 94\degree \\
2y\degree = 86\degree \\\\
y = \frac{86\degree}{2} \\\\
y\degree = 43\degree \\\\
\huge \purple {\boxed {y = 43}} \\\\[/tex]
x° + y° + 47°=180°
x° + 43° + 47°=180°
x ° + 90° = 180°
x ° = 180° - 90°
x° = 90°
x = 90
Related Questions
Devon found that for every 4 miles he walks, he needs one bottle of water. He plotted his water usage on a graph but left out some possible points. On a coordinate plane, the points (4, 1) and (12, 3) are plotted.
Answers
Answer:
(8, 2)
Step-by-step explanation:
(4, 1)+(4, 1)+(4, 1)=(12, 3)
(4, 1)+(4, 1)=(8, 2)
Answer:
C
Step-by-step explanation:
(8.2)
Sarah was thinking of a number. Sarah doubles it, then adds 4 to get an answer of 97.7. What was the original number?
Answers
Which function is a quadratic function?
f(x) = 2x2
g(x) = 5x3
k(x) = –x
b(x) = –9x4
Answers
Answer:
A. f(x) = 2x2
Step-by-step explanation:
Gina is a server at a restaurant. A table spends $34 on food and leaves Gina a 18% tip. What is Gina's tip?
A. $6.12
B. $40.12
C. $26
D. $8.24
Answers
Answer:
A.
tip: $6.12
total amount: $40.12
Answer:
A
Step-by-step explanation:
34.00 x .18 = 6.12
Take 18 and put a decimal in front of it and multiply it by the cost (34.00)
example if it were 20.00 and the tip was 5%
20.00 x .05
Winona wants to add the numbers 1 2 + 2 3 + 3 2 . She first added 1 2 and 3 2 , then added the result to 2 3 . What reason supports why Winona can do this?
Answers
Answer:
Associative property
Step-by-step explanation:
Given
½ + ⅔ + 3/2
Required
What reason supports Winona's process?
This question could be better answered, if supported with options; however, since there's none, I'll provide my answer on a general rule.
Winona's process can be supported by associative property of algebra which implies that
a + b + c = (a + b) + c = a + (b + c) = (a + c) + b
So, when Winona added ½ to 3/2, it is represented by a + c
And when she added the result to ⅔, it is represented by (a + c) + b
Hence, we can conclude that Winona applied associative property
Supposed you buy two shares of a stock worth $100. It goes up by 50% .how much did you make
Answers
Answer:
The answer is $150
Step-by-step explanation:
hope that helps
Solutions: $100x.50=50
$100+$50= $150
50% Increase therefore
$200 x 1.5 = New Price ($300)
Therefore you make 300-200 = $100
Find the volume of the figure below.
5 m
6 m
-8 m
10 m
a
40 meters cubed
42 meters cubed
OOOO
36 meters cubed
120 meters cubed
Answers
Answer:
Where is the figure??
..
At midnight, the temperature was 43.7°F. In the morning, the temperature was −3.6°F. Which statement describes the temperature? (4 points)
a
At midnight, the temperature was 43.7 degrees above 0, and in the morning, it was 3.6 degrees lower.
b
At midnight, the temperature was 43.7 degrees below 0, and in the morning, it was 3.6 degrees higher.
c
At midnight, the temperature was 43.7 degrees below 0, and in the morning, it was 3.6 degrees above 0.
d
At midnight, the temperature was 43.7 degrees above 0, and in the morning, it was 3.6 degrees below 0
Answers
Answer:
At midnight, the temperature was 43.7 degrees above 0, and in the morning, it was 3.6 degrees below 0
Step-by-step explanation:
At midnight, the temperature was 43.7°F. In the morning, the temperature was −3.6°F.
We can say that −3.6 lie on the LHS of a number line while 43.7 lie on RHS of the number line and 0 at the mid.
43.7°F is above 0 and 3.6°F is below 0.
At midnight, the temperature was 43.7 degrees above 0, and in the morning, it was 3.6 degrees below 0 . Hence, the correct option is (d).
Mrs. Pearce conducted a survey in her class on the ages of famous people. The table below shows the results of her survey. Guess Actual Age 15 28 25 28 39 50 36 24 42 56 45 72 80 Which equations could best represent the line-of-best-fit for the given data set?
Answers
Answer:
y=1.19x-4.3
Step-by-step explanation:
I did the math
Answer:
just here to steal some old points! sorry and thanks
Step-by-step explanation:
Write a quadratic function h whose zeros are 9 and 1
Answers
Answer:(x^2)-10x+9
Step-by-step explanation:
Zeroes would be 9 and 1, so the equation would be (x-9)(x-1), and multiplying with FOIL gives us xsquared -10x+9
If the given zeroes of the equation are 9 and 1 the quadratic equation will be x²-10x+9.
What is a quadratic equation?Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
As we know, the formula for the roots of the quadratic equation is given by:
[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]
Any function of the form
[tex]\rm f(x) =ax^2+bx+c[/tex]
where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic function.
It is given that the zeroes of the equations are,9 and 1,
The equation with zeroes is represented as,
(x-a)(x-b) =0
Substitute the given values,
(x-9)(x-1) = 0
Open the bracket and perform the arithmetic operations,
(x(x-1) -9(x-1) = 0
x²-x-9x+9=0
x²-10x+9
Thus, if the given zeroes of the equation are 9 and 1 the quadratic equation will be x²-10x+9.
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I will be posting some questions whoever gets them right gets brainliest
3x+10=31. What is the value of 2x
Answers
Answer:
x = -7 is the answer
Step-by-step explanation:
answer is above
Question 7 of 10
Identify the slope and intercept of the following linear equation. Y = 1/5x-6
A. Slope: -1/5; intercept: 6
B. Slope: 1/5; intercept: 6
C. Slope: 5; intercept: -6
D. Slope: 1/5; intercept: -6
Answers
Answer:
D
Step-by-step explanation:
equation is y=mx+b
b is y intercept
m is slope
7. 21 is what percentage of 30? *
Answers
Answer:
70
Step-by-step explanation:
21/70 is .7 move to the right 2 times so 70%
Answer: 70
:D.............
Why was 56 and 36 points selected?
Answers
Steph bought a used bicycle ,restored it and then marked it up by 1/4 of the price she paid. later, she sold it for the marked up price to $80 how much in dollars did steph pay for the bicycle?
Answers
Answer:
$ 64
Step-by-step explanation:
Let Steph paid $x to buy the used bicycle.
After restoring, she marked it up by 1/4 of the price she paid.
So, the marked price [tex]= x +\frac 1 4 x = \frac {5x}{4}[/tex]
As she sold the bicycle for the marked up price to $80.
So, [tex]\frac {5x}{4} = 80[/tex]
[tex]\Rightarrow x = \frac {80\times 4}{5}\\\\\Rightarrow x = 64.[/tex]
Hence, she paid $ 64 for the bicycle.
A market research analyst claims that 32% of the people who visit the mall actually make a purchase. You think that less than 32% buy something and decide to test the claim. You stand by the exit door of the mall starting at noon and ask 82 people as they are leaving whether they bought anything. You find that only 20 people made a purchase.
Required:
a. State the null and alternative hypotheses to test that less than 32% of man visitors make a purchase.
b. Find the value of the test statistics z.
c. The p-value of the test is about:______
Answers
Answer:
p=32 p<32
Step-by-step explanation:
A sphere has a radius of 11 Inches. A horizontal plane passes through the center of the sphere.
Part 1 out of 2
Describe the cross section formed by the plane and the sphere.
It is a (square, circle, or oval) with a radius of in.
Answers
Answer:
part 1
circle, 11
part 2
decrease
Step-by-step explanation:
a company lost $5,676 over a year. How much money did they lose each month if it was slit evenly
Answers
Answer:
I think the answer is 2,838
what is the number three and eight tenths as a decimal.
Answers
Answer:
3.8
Step-by-step explanation:
3 8/10 can be written as 3.xx because all we have to do is 8 divided by 10 which equals .8 so 3+.8=3.8
what is 67.13 squared?
Answers
Answer:
4506.4369
Step-by-step explanation:
welcome
A ball is thrown straight up into the air from the top of a building standing at 50 feet with an initial velocity of 65 feet per second the height of the ball in feet can be modeled by the following function: h(t)=-16t^2++16t+96 When does the ball reach its maximum height?
Answers
Answer:
0.5 seconds (at 100 feet in the air).
Step-by-step explanation:
So, the height of the ball can be modeled by the function:
[tex]h(t)=-16t^2+16t+96[/tex]
Where h(t) represents the height in feet after t seconds.
And we want to find its maximum height.
Notice that our function is a quadratic.
Therefore, the maximum height will occur at the vertex of our function.
The vertex of a quadratic function in standard form is given by the formula:
[tex](-\frac{b}{2a}, f(-\frac{b}{2a}))[/tex]
In our function, a=-16; b=16; and c=96.
Find the x-coordinate of the vertex:
[tex]x=-\frac{(16)}{2(-16)}=1/2[/tex]
So, the ball reaches its maximum height after 0.5 seconds of its projection.
Notes:
To find it’s maximum height, we can substitute 1/2 for our function and evaluate. So:
[tex]h(1/2)=-16(1/2)^2+16(1/2)+96[/tex]
Evaluate:
[tex]h(1/2)=-4+8+96=100[/tex]
So, the ball reaches its maximum height of 100 feet 0.5 seconds after its projection.
Interest on and investment is
Answers
Answer:
What do you mean?
Step-by-step explanation:
You only stated a couple of words with no image or anything, please let me know so I can help properly
How much sales tax will Justin pay on a Computer priced at $1,723.42 if the sales tax rate is 9.25%?
Answers
Answer:
$1882.84
Step-by-step explanation:
Total cost = 109.25% = 109.25% x $1723.42 = $1882.84 (2dp)
Topic: Percentage
If you like to venture further, please give my Instagram page a follow (learntionary). I'll be constantly posting math tips and notes! Thanks!
Insurance companies A and B each earn an annual profit that is normally distributed with the same positive mean. The standard deviation of company A’s annual profit is one half of its mean. In a given year, the probability that company B has a loss (negative profit) is 0.9 times the probability that company A has a loss.Calculate the ratio of the standard deviation of company B’s annual profit to the standard deviation of company A’s annual profit.(A) 0.49(B) 0.90(C) 0.98(D) 1.11(E) 1.71
Answers
Answer:
C. 0.98
Step-by-step explanation:
Let x be the mean of Company A and B annual profit and x/2 and y are standard deviation of Company A and B annual profit.
P(B<0) = 0.9*P(A<0)
P(Z<(0-x)/y) = 0.9*P(Z<(0-x)/(x/2))
P(Z<-x/y) = 0.9*P(Z<-2)
P(Z<-x/y) = 0.0205
x/y =2.04
Or y/x = 1 /2.05
y/x =0.49
Ratio of the standard deviation of company B annual profit to the standard deviation of company A annual profit =y/(x/2)
= 2*(y/x)
= 2*0.49
= 0.98
D. Evaluate each of the following. (5 points)
Let f(x) =x+1/x
1. f(1)
2. (f •f)(1)
3. (f•f•f)(1)
4. (f•f•f•f)(1)
5. (f•f•f•f•f)(1)
Answers
Problem 1
f(x) = x + 1/x
f(1) = 1 + 1/1
f(1) = 1 + 1
f(1) = 2
Answer: 2
============================================
Problem 2
(f o f)(1) = f( f(1) )
(f o f)(1) = f( 2 )
(f o f)(1) = 2 + 1/2
(f o f)(1) = 4/2 + 1/2
(f o f)(1) = 5/2
Answer: 5/2
============================================
Problem 3
(f o f o f)(1) = f( f(f(1)) )
(f o f o f)(1) = f( (f o f)(1) )
(f o f o f)(1) = f( 5/2 )
(f o f o f)(1) = 5/2 + 1/(5/2)
(f o f o f)(1) = 5/2 + 2/5
(f o f o f)(1) = 25/10 + 4/10
(f o f o f)(1) = 29/10
Answer: 29/10
============================================
Problem 4
(f o f o f o f)(1) = f( f(f(f(1)) )
(f o f o f o f)(1) = f( (f o f o f)(1) )
(f o f o f o f)(1) = f( 29/10 )
(f o f o f o f)(1) = 29/10 + 1/(29/10)
(f o f o f o f)(1) = 29/10 + 10/29
(f o f o f o f)(1) = 841/290 + 100/290
(f o f o f o f)(1) = 941/290
Answer: 941/290
============================================
Problem 5
(f o f o f o f o f)(1) = f( f(f(f(f(1)))) )
(f o f o f o f o f)(1) = f( (f o f o f o f)(1) )
(f o f o f o f o f)(1) = f( 941/290 )
(f o f o f o f o f)(1) = 941/290 + 1/(941/290)
(f o f o f o f o f)(1) = 941/290 + 290/941
(f o f o f o f o f)(1) = 885481/272890 + 84100/272890
(f o f o f o f o f)(1) = 969581/272890
Answer: 969581/272890
A function assigns the values. The value of (f•f•f•f•f)(1) is 969581/272890.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
1.)
The value of f(1) for the given function f(x) =x+1/x can be calculated as shown below,
f(x) = x + 1/x
f(1) = 1 + 1/1
= 1 + 1
= 2
2.)
(f · f)(1) = f( f(1) )
Since the value of f(1)=2, therefore, it can be rewritten as,
(f · f)(1) = f(2)
= 2 + 1/2
= 4/2 + 1/2
= 5/2
3.)
(f · f · f)(1) = f( f(f(1)) )
Since the value of f(f(1))=5/2, therefore, it can be rewritten as,
(f · f · f)(1) = f( (f·f)(1) )
= f( 5/2 )
= 5/2 + 1/(5/2)
= 5/2 + 2/5
= 25/10 + 4/10
= 29/10
4.)
(f · f · f · f)(1) = f( f(f(f(1)) )
Since the value of f(f(f(1)))=29/10, therefore, it can be rewritten as,
(f · f · f · f)(1) = f( (f·f·f)(1) )
= f( 29/10 )
= 29/10 + 1/(29/10)
= 29/10 + 10/29
= 841/290 + 100/290
= 941/290
5.)
(f · f · f · f · f)(1) = f( f(f(f(f(1)))) )
Since the value of f(f(f(1)))=29/10, therefore, it can be rewritten as,
(f o f o f o f o f)(1) = f( (f·f·f·f)(1) )
= f( 941/290 )
= 941/290 + 1/(941/290)
= 941/290 + 290/941
= 885481/272890 + 84100/272890
= 969581/272890
Hence, the value of (f•f•f•f•f)(1) is 969581/272890.
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find the height of the giraffe in the diagram. Show your work below.
Answers
The distance from the person to the mirror is 5 ft. The distance from the mirror to the giraffe is 15 ft.
15/5 = 3
Multiply the height of the person by 3:
5 ft = 60 inches 60+3 = 63 inches
63 x 3 = 189 inches
189/12 = 15.75 ft = 15 feet 9 inches
The giraffe is 15 ft 9 inches tall
Given h(x) = 2x - 3 , solve for when h(x) = - 3 .
Answers
Answer:
h(x)=-3;x=0
Step-by-step explanation:
When given h(x), you are in effect, being given the output of the function.
So, placing h(x)=-3 in place for h(x)
We get
-3=2x-3
Where -3+3=2x
0=2x
x=0
So, x=0
if f (x) = 3x2 V8 + x2, what is f'(1)
Answers
Answer:
???????????????????????????????????????????????
Step-by-step explanation:
There are 230 calories in 4 ounces. How many calories are in 6 ounces
Answers
Answer:
345 calories
Step-by-step explanation:
Divide 230 by 4
57.5
Multiply 57.5 by 6 ounces
The answer is 345 calories
Hope this helped :)
Answer:
345 calories
Step-by-step explanation:
Since you know there are 230 calories in 4 ounces you can divide the 230 calories by 4 to find out how many calories are in each ounce.
230/4= 57.5
Since there are 57.5 calories in each ounce, you can multiply this by 6 ounces to find how many calories are in 6 ounces
57.5 x 6 = 345
How are x and y intercepts alike and different?
Answers
Answer:
x and y intercepts are alike because they both cross each other, they are different because the Y axis is vertical while the X axis is horizontal.
The similarities between [x] - intercept and [y] - intercept is discussed below.
What is the general equation of a Straight line?
The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.
The equation of a straight line can be also written as -
Ax + By + C = 0
By = - Ax - C
y = (- A/B)x - (C/A)
We have [x] and [y] intercepts of a straight line.
The [y] - intercept is the line where the line cuts the [y] - axis whereas [x] - intercept is the line where the line cuts the [x] - axis.[y] - intercept has coordinates (0, y) and [x] - intercept has coordinates (x, 0).We can calculate the slope of the line using the [y] - intercept and the [x] - intercept as -m = (0 - y)/(x - 0)
m = - y/x
Therefore, the similarities between [x] - intercept and [y] - intercept is discussed above.
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