Answers
Answer:
x = 20 (degrees)
y = 70 (degrees)
Step-by-step explanation:
The angle adjacent to the one labeled 40° is supplementary, so it would measure 140°. And the obtuse triangle is an isosceles, which means that x is half of 180° - 140°, so x = 1/2(40°) = 20°
To find y, subtract 90° and x from 180°
y = 180° - 90° - 20°
y = 70°
Answer:
x = 20 and y = 70
Step-by-step explanation:
x = 20 and y = 70
Related Questions
Laura took out a loan of $25,000 for a term of 60 months ( 5years) at an interest rate 7.5% use th amortization table provided to complete the statement
Answers
Answer:
Laura's monthly payment will be $501, and her total finance charge over the course of the loan will be $5,060.
Step-by-step explanation:
Given that in a 5-year loan with an annual interest of 7.5%, the monthly payments for every $ 1,000 are $ 20.04, taking into account that Laura took a loan of $ 25,000, to determine the monthly payments and the total interest to be paid, they must be made the following calculations:
20.04 x 25 = X
501 = X
Thus, the monthly payments that Laura will have to make will be $ 501.
(501 x 12 x 5) - 25,000 = X
30,060 - 25,000 = X
5,060 = X
In turn, the total finance charge will be $ 5,060.
The table shows the temperature (y) at different altitudes (x), This is a linear relation ship. Use the equation y= -0.004x+69 to determine the temperature at an altitude of 5,000 feet.
Answers
Answer:
49
Step-by-step explanation:
i just did it
Pls help with this.
Answers
three integers have a mean of 7, a median of 5 and a range of 14. find the three integers
Answers
Answer:
1, 5, 15
Step-by-step explanation:
First, I knew 5 was one of them because, 5 was the median and there were only three numbers. Next you have to find out the first and last number. Then, I looked at the mean. To get the mean, you have to add all of the numbers up and divide that by how many numbers there are. Since the mean is 7 and there are 3 numbers, I knew that the sum of all three numbers was 21 because, 21 divided by 3 is 7. Then I saw that the range of all the numbers was 14. The range is the difference between the largest and smallest number so I knew that the largest number subtracted by the smallest number had to be 14. Then, I saw that 15-1=14, and 1+5+15=21. So the three integers are, 1, 5 and 15.
PLEASE HELP ME I WILL GIVE BRAINLIST just with number 6
Answers
Answer:
ima say 200 but I'm not 110 percent sure
help please !!! x/4 = 9/x
Answers
Step-by-step explanation:
x/4=9/x
x.x=4.9
x^2=36
√x=√6
x=6
Hamda and Layla get paid per project.
Hamda is paid a project fee of AED 25 plus AED 10.50 per hour.
Layla is paid a project fee of AED 18 plus AED 14.25 per hour.
Write an expression to represent how much a company will pay to hire both to work the same number of hours on a project.
Show your steps
Answers
Answer:
The company will pay 24.75h+43 AED if they hire both workers.
Step-by-step explanation:
Given that:
Project fee of Hamda = AED 25
Per hour charges = AED 10.50
Let,
h be the number of hours
y = 10.50h + 25
Project fee of Layla = AED 18
Per hour charges = AED 14.25
y = 14.25h + 18
Total amount to hire both.
Total cost = y+y
Total cost = 10.50h+25+14.25h+18
Total cost = 24.75h+43
Hence,
The company will pay 24.75h+43 AED if they hire both workers.
Help plz ASAP brainliest
Answers
3 * 5 = 15
15 is the answer
Answer:
15
Step-by-step explanation:
What is the 20th term of the sequence: -4, -8, -12,
Answers
Answer:
-80
Step-by-step explanation:
Trust me
Emma has a fish tank with two fish in it. The probability that the first fish lives for at least one year is 0.84. The probability that the second fish lives for at least one year is 0.90. The lifespan of each fish is independent of the other fish. What is the probability that both fish live for at least one year? Do not round your answer.
Answers
Answer:
.756
Step-by-step explanation:
Answer:
0.756
Step-by-step explanation:
correct on edge
I’m seriously crushing on you. I’m deeply in love with you girl. Will you give me a chance to prove my love? And you’ll have your best days forever. Happy Valentine’s Day crush girl.
Answers
Answer:
I think you'd be better off simping for sunflowers then girls mate.
Step-by-step explanation:
Lol jk
Walmart has soft drinks on sale: 4 packs for $20 Kroger has soft drinks on sale : 3 packs for $18 Which store has the better deal? why?
Answers
Answer:
Walmart has the better deal.
Step-by-step explanation:
If you divide the amount of money and the packs they sell, Walmart is cheaper.
Walmart: 20/4 = 5
Kroger: 18/3 = 6
Answer:
It is Walmart 4 packs for 20$
Step-by-step explanation:
Could some one help me plz
Answers
Because y ok get 5x-8 for the triangle and x+2 for the square set them up to 5x-8=x+2 and you solve yo get 4x=10 and once you divide you get 2.5
an account executive earns 600 per month plus 3% commission on sales. the executive's goal is to earn $2400 this month. how much must she sell to achieve this goal?
Answers
Answer:
$60,000
Step-by-step explanation:
Given :
Monthly earning = $600
Commission = 3%
Month's goal = $2400
Let total sales for the month = x
Hence,
Monthly earning + (commission * total sales) = monthly goal
600 + (0.03 * x) = 2400
600 + 0.03x = 2400
0.03x = 2400 - 600
0.03x = 1800
x = 1800 / 0.03
x = $60,000
Sandy has the numbers 1 to 15 in a box. She randomly chooses one number, and without replacing it, chooses another number from the box. What is the probability that Sandy will choose 2 prime numbers?
A.2/15
B.1/7
C.2/5
D.1/2
Answers
Answer:
A: 2/15
Hope this helped!
PLS HELP ASAP
WILL MARK BRAINLIEST
Answers
Answer:
first blank is x, then -7, then 11, then -11.
Step-by-step explanation:
Hope it helps!
Please find X............
Answers
Answer:
[tex]x=45.57^{\circ}[/tex]
Step-by-step explanation:
Given that,
Hypotenuse, H = 10
Base = 7
We need to find the value angle x. The relation between Hypotenuse, Base and the angle x is given by :
[tex]\cos\theta=\dfrac{\text{Base}}{\text{Hypotenuse}}\\\\\cos\theta=\dfrac{7}{10}\\\\\theta=\cos^{-1}(\dfrac{7}{10})\\\\\theta=45.57^{\circ}[/tex]
So, the value of x is [tex]45.57^{\circ}[/tex].
given the function f(x)=x^3 +x^2-2x+1 what is the resulting function f(x) is shifted to the left one unit
Answers
Answer:
The resulting function is [tex]f(x+1) = x^3 + 4x^2 + 3x + 1[/tex]
Step-by-step explanation:
Suppose we have a function f(x). If we want to shift the function 1 unit to the left, we find f(x+1).
In this question, we have:
[tex]f(x) = x^3 + x^2 - 2x + 1[/tex]
Shifting 1 unit to the left:
[tex]f(x+1) = (x+1)^3 + (x+1)^2 - 2(x+1) + 1[/tex]
[tex]f(x+1) = (x^3 + 3x^2 + 3x + 1) + (x^2 + 2x + 1) - 2x - 2 + 1[/tex]
[tex]f(x+1) = x^3 + (3+1)x^2 + (3+2-2)x + 1 + 1 - 2 + 1[/tex]
[tex]f(x+1) = x^3 + 4x^2 + 3x + 1[/tex]
The resulting function is [tex]f(x+1) = x^3 + 4x^2 + 3x + 1[/tex]
Help pls ill give Brainlyest to the one who does it step by step.
Answers
Answer:
12.8% decrease
Step-by-step explanation:
if you find the unit rate for the sale, which would be 125 cents divided by 3 cans, equals around 43.6 cents per can. 43.6 cents is an x% decrease of 50 cents, and to find x easily i multiplied by 2. 43.6 x 2=87.2, and 50 x 2 = 100. that means that the sale price is 87.2 % of the original price, which is a 12.8% decrease.
Which expression is equivalent to 6( 3x + 4)?
Answers
Answer:
18x + 24 or c
Step-by-step explanation:
1 8 + 2 4
this is the answer
A box of cereal weighs 12 ounces and costs $2.16. What is the price of the cereal per ounce?
Answers
Answer:
0.18 cents an ounce
Step-by-step explanation:
Take 2.16 and divide it by 12.
Find the value of x Please be serious
Answers
Answer:
Step-by-step explanation:
∠SRT = 180-(11x+3) = 177-11x
∠TSR + ∠SRT = 180-85 = 95
(5x-10) + (177-11x) = 95
-6x+167 = 95
72 = 6x
x = 12
I will give brainliest to whoever helps, I really need this. pls pls help! thanks!!
Answers
Answer:
[tex]\mathrm{1.}\; m=\mathrm{N/A};\: \mathrm{none}; \: x=14\\\mathrm{2.}\; m=0;\: (0,-5); \:y=-5\\\mathrm{3.}\; m=2;\:(0, -6); \: -2x+y=-6\\[/tex]
Step-by-step explanation:
Problem 1:
The slope of a vertical line is always undefined.The y-intercept of a line occurs when [tex]x=0[/tex]. In this line, [tex]x[/tex] is defined already as [tex]14[/tex] and therefore there is no y-intercept.The equation of a vertical line is [tex]x=n[/tex], where [tex]n[/tex] is some constant.Problem 2:
The slope of a horizontal line is always [tex]0[/tex].The y-intercept of a line occurs when [tex]x=0[/tex]. In this line, [tex]y[/tex] is declared as 5 for [tex]x\in \mathrm{R}[/tex]. Therefore, the y-intercept is [tex](0, -5)[/tex].The equation of a horizontal line is [tex]y=n[/tex], where [tex]n[/tex] is some constant.Problem 3:
The slope of a line given two points can be found using [tex]m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}[/tex]. In this case, the slope is [tex]\frac{11-(-1)}{5-(-1)}=\frac{12}{6}=2[/tex].The y-intercept occurs when [tex]x=0[/tex]. Using the equation we found (refer below), plug in [tex]x=0[/tex] to get the y-coordinate of the y-intercept.In slope-intercept form, the equation of a line is written as [tex]y=mx+b[/tex]. Using [tex]m=2[/tex] and any coordinate this line passes through, we find the equation of this line to be [tex]y=2x-6[/tex]. Rearranging this in standard form ([tex]ax^2+bx+c[/tex]), we get [tex]-2x+y=-6[/tex].You and a friend go to the local taco joint for lunch. You order three tacos and three burritos and your bill totals $11.25. Your friend's bill is $10.00 for 2 burritos and 4 tacos. Which system of equations can be used to determine the cost of b, a single burrito, and t, a single taco?
A.
3t + 3b = 10
2t + 4b = 11.25
B. 3t+ 3b = 11.25
2t + 4b = 10
C. 3t+ 3b = 10
4t + 2b = 11.25
D. 3t + 3b = 11.25
4t + 2b = 10
Answers
Answer:
d
Step-by-step explanation:
Find the volume of the specified cone. Use 3.14 for pi, and round your answer to the nearest whole number.
Diameter = 5 cm, height = 9 cm
A. 59 cu. cm
B. 25 cu. cm
C. 38 cu. cm
D. 19 cu. cm
Answers
So for this equation...
(1/3)(3.14)(2.5^2)(9) = 58.875
So the answer would be A. 59 cu. cm
Remember that radius is equal to half of the diameter :)
Answer:
A) 59 cu. cm
Step-by-step explanation:
diameter = 5cm
Radius = 5/2 = 2.5 cm
Volume of cone = [tex]\frac{1}{3}*\pi *r^{2} h[/tex]
[tex]=\frac{1}{3} * 3.14 * 2.5 *2.5 * 9\\\\= 3.14 * 2.5 * 2.5 * 3\\\\= 58.875\\[/tex]
= 59 cu cm
Use the following definition of absolute value to prove the given statements: If x is a real number, then the absolute value of x , | x | , is defined by: | x | = { x if x ≥ 0 − x if x < 0 For any real number x , | x | ≥ 0 . Moreover, | x | = 0 implies x = 0 . For any two real numbers x and y , | x | ⋅ | y | = | x y | . For any two real numbers x and y , | x + y | ≤ | x | + | y | .
Answers
Answer:
Proved all parts below.
Step-by-step explanation:
As given ,
|x| = [tex]\left \{ {{x , x\geq 0} \atop {-x, x< 0}} \right.[/tex]
To prove- a) For any real number x , | x | ≥ 0 . Moreover, | x | = 0 ⇒ x = 0
b) For any two real numbers x and y , | x | ⋅ | y | = | x y | .
c) For any two real numbers x and y , | x + y | ≤ | x | + | y | .
Proof -
a)
As given x is a real number
Also , by definition of absolute value of x , we get
| x | ≥ 0
Now,
if |x| = 0
⇒ x = 0 and -x = 0
⇒ x = 0 and x = 0
⇒ x = 0
∴ we get
| x | = 0 ⇒ x = 0
Hence proved.
b)
To prove - | x | ⋅ | y | = | x y |
As we have,
|x| = [tex]\left \{ {{x , x\geq 0} \atop {-x, x< 0}} \right.[/tex]
|y| = [tex]\left \{ {{y , y\geq 0} \atop {-y, y< 0}} \right.[/tex]
|xy| = [tex]\left \{ {{xy , x,y > 0 and x,y < 0} \atop {-xy, x > 0, y< 0 and x <0 , y > 0}} \right.[/tex]
We have 4 cases : i) when x > 0 , y > 0
ii) when x > 0 , y < 0
iii) when x < 0, y > 0
iv) when x < 0, y < 0
For Case I - when x > 0 , y > 0
⇒ |x| = x, |y| = y
⇒|x|.|y| = xy
For Case Ii - when x > 0 , y < 0
⇒ |x| = x, |y| = -y
⇒|x|.|y| = -xy
For Case Iii - when x < 0 , y > 0
⇒ |x| = -x, |y| = y
⇒|x|.|y| = -xy
For Case IV - when x < 0 , y < 0
⇒ |x| = -x, |y| = -y
⇒|x|.|y| = (-x)(-y) = xy
∴ we get , from all 4 cases
| x | ⋅ | y | = | x y |
Hence Proved.
c)
To prove - | x + y | ≤ | x | + | y |
Let
|x| = |x + y - y|
≥ |x + y| - |y| ( Triangle inequality)
⇒ |x| + |y| ≥ |x + y|
Hence Proved.
i really need help on this problem! reply asap!!!
Answers
A big = 112.5
A shaded = 112.5 - 32.5 = 80
If s= 6 inches, and the altitude, h, is 21 inches, what is the volume of the pyramid?
Answers
Answer: 42 inches
Step-by-step explanation:
To find the volume you multiply 1/3 of the base which is 6 then with 1/3 is 2 them multiply the altitude which is 21. So 2 times 21 is 42 inches
Answer:
The volume of the pyramid is 42 inches³.
Step-by-step explanation:
The formula is V = ⅓ A H. 6x21=126, 126x1/3=42.
??????????????????????
Answers
Answer:
f(8)=91 is the answer
answer is 91
I WILL MARK BRAINLIEST!!
Answers
Answer:
i think 108
Step-by-step explanation: