Answers
Answer:
x = 48, y = 70
Step-by-step explanation:
Since 2 sides are congruent, then the triangle is isosceles and the base angles are congruent, thus
x + 7 = 55 ( subtract 7 from both sides )
x = 48
The sum of the 3 angles in a triangle = 180°
Subtract the sum of the 2 angles from 180 for y, that is
y = 180 - (55 + 55) = 180 - 110 = 70
Related Questions
1- 8
2- 12
3- 5
4- 13
Answers
Answer:
4- 13
Step-by-step explanation:
AC = √ AB^2 + BC^2
AC = √ 5^2 + 12^2
AC = √ 25 + 144
AC = √ 169
AC = 13
Find the linear approximation of the function f(x) = √4-x at a = 0 and use it to approximate the numbers √3.9 and √3.99 ?
Answers
Answer:
1.9975
Step-by-step explanation:
The computation of the linear approximation of the given function is shown below:
L(x) = 2 - 1 ÷ 4(x)
As we are looking for √3.9
So here
x = 0.1
So
= 4 - 0.1
= 3.9
Now
L(0.1) = f(3.9) = 2 - (0.1 ÷ 4)
= 1.975
now
substitute the x = 0.01
Then
L(0.01) = f(3.99) = 2 - (0.01 ÷ 4)
= 1.9975
We simply applied the above equations
6. A college is trying to determine if there is a significant difference in the mean GMAT score of students from different undergraduate backgrounds who apply to the MBA program. The Excel file GMAT Scores contains data from a sample of students. What conclusion can be reached using ANOVA
Answers
Answer:
All mean of GMAT scores might not be equal.
Reject null hypothesis.
Step-by-step explanation:
ANOVA is a statistical technique which analyzes and estimates different procedures to find variance among them. For the given GMAT scores the null hypothesis is considered as all means of GMAT scores are equal and the alternative hypothesis is all mean of GMAT score is not equal. Using excel the ANOVA technique is used to reach the conclusion.
what is 0.36 repeating in simplest form?
Answers
Therefore , 4/11 is the simplest fractional form.
A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 413 gram setting. It is believed that the machine is underfilling of overfilling the bags. A 22 bag sample had a mean of 417 grams with a standard deviation of 13. Assume the population is normally distributed. A level of significance of 0.05 will be used. Specify the type of hypothesis test.
Answers
Answer:
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is insufficient evidence to conclude that the machine is under filling the banana chips.
Step-by-step explanation:
From the question we are told that
The population mean is [tex]\mu = 413 \ g[/tex]
The sample size is n = 22
The sample mean is [tex]\= x = 417 \ g[/tex]
The standard deviation is [tex]s = 13[/tex]
The level of significance is [tex]\alpha = 0.05[/tex]
The null hypothesis is [tex]H_o : \mu = 413[/tex]
The alternative hypothesis is [tex]H_a : \mu < 413 \ g[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{\= x - \mu }{ \frac{s}{\sqrt{n} } }[/tex]
=> [tex]z = \frac{417 - 413}{ \frac{13}{\sqrt{22} } }[/tex]
=> [tex]z = 1.443[/tex]
Generally from the z table the probability of [tex](Z > 1.443 )[/tex] is
[tex]p-value = P(Z > 1.443) = 0.07451[/tex]
From the value obtained we can see that [tex]p-value > \alpha[/tex] hence
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is insufficient evidence to conclude that the machine is under filling the banana chips.
Find the largest interval for which the following initial value problems are guaranteed to have a unique solution. Explain your reasoning (5 points each). DO NOT SOLVE THE EQUATIONS.
Answers
Answer and Step-by-step explanation:
Solution:
The given equation is:
t (t -4)y” + 3ty’ + 4y = 2
Where,
Y (3) = 0, y’ (3) = -1
To find out the largest interval, which have unique solution,
Divide the given equation with t(t – 4):
Y” + 3y’ / t(t-4) + 4y / t(t-4) = 2 / t (t -4)
Solution exists on (0, 4)
Because:
P(t) = 3 / t -4, continuous on ( -∞, 4) and (4, ∞)
Q(t) = 4/t(t-4) , continuous on (-∞, 0), (0,4) and (4, ∞)
G(t) = 2 / t(t-4) continuous on (-∞, 0), (0,4) and (4,∞)
T0 = 3,
So solution exist on (0, 4)
Hence, (0, 4) is the largest interval for which the initial value problem:
t (t -4)y” + 3ty’ + 4y = 2
have a unique solution.
For a given input value b, the function g outputs a value a to satisfy the following equation.
a-7=3(b+2)
Write a formula for g(b), in terms of b.
Answers
If $230 is invested for one year at 8% simple interest, how much interest is earned?
Answers
Answer:
$18.40
Step-by-step explanation:
To find 8% of $230, we first have to find 1% of $230.
230 ÷ 100 = 2.30
Because 1% of $230 is $2.30, to find 8% we multiply $2.30 by 8
2.30 x 8 = 18.4
8% of $230 is $18.40
1. In 2015, there were 3050 drug-related deaths, of which 2950 involved opioids. What percent of the deaths were due to opioids
Answers
Answer:
The percentage of the deaths due to opioids is 96.72%
Step-by-step explanation:
Given;
total number of drug related death cases in 2015, T = 3050 deaths
number of deaths due to opioids, n = 2950 deaths
The percentage of the deaths due to opioids is given by;
death percent due to opioids = 2950 / 3050
death percent due to opioids = 0.9672
death percent due to opioids = 0.9672 x 100 = 96.72%
Therefore, the percentage of the deaths due to opioids is 96.72%
A
Identify and select all of the segments that form a radius of the circle.
D
C С
B
E
חוז
H
A
F
Answers
Laurie was scuba diving. Each time she dove 5 feet deeper, she would stop and clear her ears. After Laurie had checked her instruments 3 times, she was at her maximum depth of 60 feet. Which expression best represents Laurie’s maximum depth?
(4) (negative 5) (3)
(Negative 4) (Negative 5) (Negative 3)
(Negative 5) (20) (3)
(Negative 5) (Negative 20) (Negative 3)
Answers
Answer:
Answer:
A) (4)(-5)(3)
Step-by-step explanation:
Answer:
its A
Step-by-step explanation:
did it on edge :) hope this helps
a student earns $70 over the summer. he spends 1/5 of the total amount on movies. He then spends 1/2 of the remaining money on school clothes.
how much money is left?
Answers
Given:
Total earning = $70
He spends [tex]\dfrac{1}{5}[/tex] of the total amount on movies.
He then spends [tex]\dfrac{1}{2}[/tex] of the remaining money on school clothes.
To find:
The remaining money.
Solution:
We have,
Total earning = $70
He spends [tex]\dfrac{1}{5}[/tex] of the total amount on movies.
Money spent on movie is
[tex]\$70\dfrac{1}{5}=\$14[/tex]
Remining money after movie is
[tex]\$70-\$14=\$56[/tex]
He then spends [tex]\dfrac{1}{2}[/tex] of the remaining money on school clothes.
Money spent on school clothes is
[tex]\$56\times \dfrac{1}{2}=\$28[/tex]
Remining money after movie and school clothes is
[tex]\$56-\$28=\$28[/tex]
Therefore, the remaining money is $28.
Is 24, 29, 32 a right triangle?
Answers
Answer:
No.
Step-by-step explanation:
hope u got it.........
Dwayne wants to buy a bowling ball. As a member of a bowling league, he receives a 15% discount on the price of the bowling ball. He will also have to pay a 6% sales tax on the discounted price of the bowling ball. Dwayne thinks that the final price of the bowling ball can be represented by the expression , which is equivalent to , so Dwayne says he can find the final price after tax by .15x .06xx−0 +0.09x x−0taking 9% off of the original price. Dwayne’s friend, Raul, thinks that you need to take 9.9% off of the original price because is .06 1 (0.85x) equivalent to , which is . .901x 0.099xx−0 Who is correct – Dwayne or Raul? Explain your reasoning.
Answers
Answer:
Cool
Step-by-step explanation:
Use the Distributive Property to find the product,
28 x 47 = 28 x (40 + 7)
28 x 47 = (28 x 40) + (28 x 7)
28 x 47 = (20 + 8) + (20 + 8) %
28 x 47 = (20 %) + (8 %) + ( 20 ) +(8 x
28 x 47 = + + +
28 y 47 =
Answers
Answer:
y
Step-by-step explanation:
y
x+28+y
Step-by-step explanation:
HOPE you get a A
product = help me get points please give me a 5 star
Explain the difference between Gross Income & Net Income
Answers
Net income: money left over after deductions
Gross before taxes and deductions and net money in pocket
PLZZZ HELP could the hypotenuse of both triangles be on the same line?
Triangle A: vertical - 5 in, horizontal - 20 in
Triangle B: vertical 1 in, horizontal - 4 in
Answers
Answer:No
Step-by-step explanation:Use the formula for both and you'll find it yourself also
Find the third side in simplest radical form:
Answers
Answer:
√130Step-by-step explanation:
Using Pythagorean theorem to find the third side
√9²+7² = √81+49=√130Answer:
[tex]\sqrt{130}[/tex]
Step-by-step explanation:
since the triangle is a right triangle
we can use the Pythagorean theorem to find the hypotenuse
let a=7, b=9, c= ?c² = 7² + 9²c = [tex]\sqrt{130}[/tex]Help quickly with this math question
Answers
Answer:
The circumference of circle is 8π ft.
Step-by-step explanation:
Given that the formula of area of a circle is A = π×r² where r represents the radius of circle. So you have to find the radius first :
[tex]area = \pi \times {r}^{2} [/tex]
[tex]let \: area = 16\pi[/tex]
[tex]\pi {r}^{2} = 16\pi[/tex]
[tex] {r}^{2} = 16[/tex]
[tex]r = \sqrt{16} [/tex]
[tex]r = 4 \: feet[/tex]
Next, you have to apply circumference of circle formula, C = 2×π×r :
[tex]c = 2 \times \pi \times r[/tex]
[tex]let \: r = 4[/tex]
[tex]c = 2 \times \pi \times 4[/tex]
[tex]c = 8\pi \: feet[/tex]
help pls
A rectangle is 8 feet wide by 10 feet long. If the width is increased by 25% and the length is increased by 20%, what is the area of the resulting rectangle, in square feet?
Answers
Answer:
120 feet
Step-by-step explanation:
first, we need to find what 25% of 8 is. to do this we change 25% to a decimal and multiply it by 8. this gives us 2. so we know that 25% of 8 is 2. seeing that the width is increased by 25%, we know that we have to add 2 to 8, which gives us 10, the new width. we do the same thing to the length. 20% of 10 is 2, so we add that to 10 to get the length, 12. now to find the area of a rectangle, we multiply length times width. 10 times 12 is 120, so the area is 120 feet^2.
i hope this helps :))
l10l= -10 what is the correct answer
Answers
|-43| = 43
In this case, the |10| will just be |10|
What is eulers identity derivation
Answers
Hello friend! Hope this helps!
Euler's formula is eⁱˣ=cos(x)+i⋅sin(x), and Euler's Identity is e^(iπ)+1=0. See how these are obtained from the Maclaurin series of cos(x), sin(x), and eˣ.
1. At a restaurant, a customer can choose between 3 appetizers, 2 main courses, and 3 desserts. (a) A customer wants to order exactly one appetizer, one main course, and one dessert. How many different meals could this customer order
Answers
Answer:
Total probability = 7/6
Step-by-step explanation:
Given:
Number of appetizer = 3
Number of main course = 2
Number of desserts = 3
Computation:
Probability of choosing 1 appetizer = 1/3
Probability of choosing 1 main course = 1/2
Probability of choosing 1 dessert = 1/3
Total probability = 1/3+1/2+1/3
Total probability = 7/6
A mother explains to her child that the price on the sign is not the total price for a ladder, because the price does not include tax. She points out that a $24 ladder actually costs $26.40 once the sales tax is added. What is the sales tax percentage?
Write your answer using a percent sign (%).
Answers
Answer:
2.4%
Step-by-step explanation:
Answer:
hi
Step-by-step explanation:
The price of call of duty modern warfare Remastered was reduced from $60 to $45 By what percent was the price of the video game
Answers
Answer:
25%
Step-by-step explanation:
$60 times ? = $45
$60 - $45 = $15
$15 were reduced and 15/60 = 25%
Answer: 25%
Step-by-step explanation:
25
Multiply.
1/6⋅3/4
Express your answer in the simplest form.
A.310
B.18
C.16
D.410
Answers
Answer:
none of the above
Step-by-step explanation:
the answer is less than 1, maybe you got the question wrong?
6^3m x 6^-m= 6^-2m expotential function
Answers
Answer:
Step-by-step explanation:
(Part 1)What is the combined area of the two right triangles? A. 12 B. 18 C. 24 D.36
(Part 2) Whick expression gives the area of the parallelogram A. (14x6-24) square units B.(14x6-18) square units C.(8x6+36) swuare units
D. (8x6+12) square units
Answers
Answer:
Part 1: D. 36
Part 2: C. (8*6 + 36) square units
Step-by-step explanation:
Part 1:
Area of a triangle = ½*base*height
The two triangles has the same height and base.
Height = 6,
Base = 6
Combined area of the two right angles = 2(½*base*height)
= 2(½*6*6)
= (6*6)
Combined area = 36 square units
Part 2:
The are of the parallelogram = area of the rectangle + the combined are of the two right triangles
The rectangle has:
length = 14 - 6 = 8
Width = 6
Area of rectangle = length * width = 8*6
Combined area of the two right triangles = 36
Therefore, the expression of the area of the parallelogram = (8*6 + 36) square units
How many minutes does she have?
Answers
Answer:
answer is c 60 you just need to bring the numbers to gather
Solve for x PLEASE PLEASE
38+8x+2+68=180
Answers
Answer:
x=9
Step-by-step explanation:
38+8x+2+68=180
-38 -38
______________
8x+2+68=142
-2 -2
____________
8x+68=140
-68 -68
8x=72
8x/8=72/8
x=9
Step two, rewrite your equation. 108+ 8X=180
Step three, subtract 108 from each side. Rewrite your equation, and you will get 8X=72.
Step four, divide eight from each side. 72÷8 = 9.
Your final answer is 9.
Hope this helps!
