Answer:
65 degrees
Step-by-step explanation:
1) Find the value of x
The sum of all the interior angles of a triangle is always 180 degrees. Knowing this, we can construct the following equation:
[tex](2x-5)+(115-x)+x=180[/tex]
Open up the parentheses
[tex]2x-5+115-x+x=180[/tex]
The two x's cancel out
[tex]2x-5+115=180\\2x+110=180[/tex]
Subtract 110 from both sides
[tex]2x+110-110=180-110\\2x=70[/tex]
Divide both sides by 2
[tex]2x/2=70/2\\x=35[/tex]
Therefore, x is equal to 35.
2) Find the value of <C
[tex]C=2x-5[/tex]
Plug 35 into the equation as x
[tex]C=2(35)-5\\C=70-5\\C=65[/tex]
Therefore, the value of angle C is 65 degrees.
I hope this helps!
1. Becky needs to earn an average of 85% on her Stats tests in order to maintain her current GPA. IF
she has gotten the following scores so far, what does she need to get on her next test to maintain at
least an 85% average?
85, 78, 92, 84, 93
Answer:
78%
Step-by-step explanation:
85 × 6 = 510
85 + 78 + 92 + 84 + 93 = 432
510 - 432 = 78
Check
85 + 78 + 92 + 84 + 93 + 78 = 510
510 ÷ 6 = 85
Which lines have a y-intercept at (0,4)?
Choose all answers that apply:
А
y=-3x +4
B
y = 4x + 7
y = 5 + 4x
y = 4-2
KHAN ACADEMY
Answer:
y=-3x+4
Step-by-step explanation:
Using the formula y=mx+b
mx= slope b= y-intercept
hence,
y=-3x+4 has a y-intercept of (0,4)
Answer:
A y=3x +4
Step-by-step explanation:
since when x=0 then y will be at +4
Y=3(0)+
According to Masterfoods, the company that manufactures M&M's, 12% of peanut M&M's are brown, 15% are
yellow, 12% are red, 23% are blue, 23% are orange and 15% are green. [Round your answers to three decimal
places, for example: 0.123]
Compute the probability that a randomly selected peanut M&M is not brown.
Compute the probability that a randomly selected peanut M&M is brown or orange.
Compute the probability that three randomly selected peanut M&M's are all yellow.
If you randomly select six peanut M&M's, compute that probability that none of them are brown.
If you randomly select six peanut M&M's, compute that probability that at least one of them is brown.
Answer(In bold)/Step-by-step explanation:
Compute the probability that a randomly selected peanut M&M is not blue
P (blue) = 23%
P (blue)C = 1 - P(blue) = 100% - 23% = 77%
Compute the probability that a randomly selected peanut M&M is green or red.
P (green) = 15%
P (red) = 12%
P (green or red) = P(green) + P(red) = 27%
Compute the probability that three randomly selected peanut M&M’s are all yellow.
P (yellow) = 15%
(P(yellow))3 = 0.338%
There was replacement in the selection process.
If you randomly select six peanut M&M’s, compute that probability that none of them are brown.
P(brown) = 12%
P(brown)C = 1 - P(brown) = 100% - 12% = 88%
(P(brown)C)6 = 46.440%
What is the average rate of change of the function below on the interval [0, 0.5]?
F(x)= x^2+7x+10/ x^2 - 7x+6
A. 8.333
B. 6.333
C. 7.666
D. 6.667
Answer:
add all the numbers and divide by 4
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
F(0)= 0^2+7(0)+10/ 0^2 - 7(0)+6 = 1.67
F(0.5)= 0.5^2+7(0.5)+10/ 0.5^2 - 7(0.5)+6 = 5
[tex]RateofChange = \frac{F(0.5) - F(0)}{0.5 - 0} = 6.667[/tex]
Find the value of x. Round to the nearest tenth.
Can somebody plz help me with 16 and 19
Answer:
BRAINLIESTTTTYSYDEUJEJE JJ3JEHSSNAAKPlease help and explain how you got the answer
Answer: 30°
Step-by-step explanation:
we have to find the angle adjacent with the right angle. For this we use the (-).
At this point, I am guessing you know how to use SOH-CAH-TOA, for this one we use SOH so sin. If you have a calculator set it on degree mode, then plug it in as sin⁻₁(), we put it like that because the missing angle has the given number opposite and the hypotenuse. It solves it and now we get 30 for the answer. I dont know if that made sense, tell me if it didnt so I can explain it better.
which system of equations has no solution?
let us have -2 and 1 what will be the answer ??
Answer:
[tex] - 2 + 1 \\ = - 1[/tex]
Assuming this is what you asked since your question is not clear.
It is not clear what operation should be performed on -2 and 1. Please provide more information or context so that a specific answer can be provided.
It is unclear what operation you want to perform with -2 and 1. Please specify the operation (addition, subtraction, multiplication, or division) so I can provide the correct answer.
Learn more about addition, subtraction, multiplication, or division here;
https://brainly.com/question/11609653
#SPJ11
S) A $4.00 sales tax is charged for a $50.00 purchase. At this rate, what is the sales tax for a $1200.00
purchase?
Please help me :) I’m down bad
Answer:
$96
Step-by-step explanation:
4/50=.08 which is sales tax rate
1200X.08=$96 sales tax
4)
The first play of a football game resulted in a loss of 9 yards. Which absolute value statement describes the loss of yards?
Answer:
|-9| = 9
That is the absolute value for the loss of yards
Is a rhombus a quadrilateral always?
Long Answer:
Yes, a rhombus is a quadrilateral with 4 equal sides. Every square has 4 equal length sides, so every square is a rhombus.
Short Answer:
Yes
What repeating decimal does
8/9 equal to in value
Need help will give brainliestttttttttttttttttt
9514 1404 393
Answer:
10π meters
Step-by-step explanation:
The circumference of the island is given by ...
C = πd
For the given diameter, the circumference is ...
C = π(20 m) = 20π m
The penguin swam half that distance, so swam ...
(1/2)(20π m) = 10π m
The penguin swam 10π meters.
Please help me answer ASAP!
Step-by-step explanation:
[tex]x = 10 \\ \\ y = 10 \sqrt{2} \\ \\ \cos(45) = \frac{ \sqrt{2} }{2} [/tex]
Can someone tell
Me how to do this
ASAP I need help 10 points
Answer:
$80.66 and $48
Step-by-step explanation:
1.
Find the total cost of your outfit. 49+25=$74
Find 9% of 74 by doing 0.09x74, which is 6.66. This means that the sales tax is $6.66. 74+6.66=$80.66.
2.
Find 25% of 64 by doing 0.25x64=16. 64-16=$48.
For positive acute angles
A
A and
B
,
B, it is known that
cos
A
=
4
5
cosA=
5
4
and
sin
B
=
15
17
.
sinB=
17
15
. Find the value of
cos
(
A
−
B
)
cos(A−B) in simplest form.
9514 1404 393
Answer:
77/85
Step-by-step explanation:
Given:
cos(A) = 4/5
sin(B) = 15/17
Find:
cos(A-B)
Solution:
From your knowledge of Pythagorean triples, you know that one of them is (3, 4, 5) and another is (8, 15, 17). Using your imagination, or by drawing the triangles, you can determine the needed trig functions to be ...
sin(A) = 3/5
cos(B) = 8/17
__
Alternatively, you can use the Pythagorean identity to find ...
sin(A) = √(1 -cos²(A)) = √(1 -(4/5)²) = √(9/25) = 3/5
cos(B) = √(1 -sin²(B)) = √(1 -(15/17)²) = √(64/289) = 8/17
__
Then application of the angle difference formula is straightforward.
cos(A -B) = cos(A)cos(B) +sin(A)sin(B)
cos(A -B) = (4/5)(8/17) +(3/5)(15/17) = (32 +45)/85
cos(A -B) = 77/85
_____
Some graphing calculators can express the result ...
cos(arccos(4/5) -arcsin(15/17)) ≈ 0.90588235294
... as the fraction 77/85
Can someone help with this please
Jay bought a guitar on sale at 45% off. The original price was $576.75.
(a)
Find the amount of discount. (Round your answer to the nearest cent.)
$
(b)
Find the sale price. (Round your answer to the nearest cent)
Answer:
317.21 (sales price)
259.53 (discount amount)
Step-by-step explanation:
First, we need to divide.
576.75/100=5.7675 (note that I will be rounding at the end)
5.7675 x 55 (100-45) = 317.2125
Rounds to: 317.21
Now, we need to find the discount amount.
576.75
-317.21
=259.53
Plz help me!. Well mark brainliest if correct!
Answer:
Point W
Step-by-step explanation:
17. Which economic instability becomes a problem during a recession?
A. Producer Price Index
B. Inflation
C. Unemployment
21. Sandra is 4 feet tall. Pablo is 10% taller than Sandra, and Michaela is 8% taller than Pablo. a. Explain how to find Michaela's height with the given information.
Answer:
Step-by-step explanation:
Find 10% of Sandra’s height then find 8% of Pablo’s height, then combine. 4 feet 9 inches.
17% adults favor the use of unmanned drones by police agencies. Twelve U.S. adults are randomly selected. Find the probability that the number of U.S. adults who
favor the use of unmanned drones by police agencies is (a) exactly three, (b) at least four, (c) less than eight
(a) P(3)=(Round to three decimal places as needed)
(b) P(x24) =(Round to three decimal places as needed.)
(c) P(x<8)=(Round to three decimal places as needed.)
Answer:
Following are the solution to these question:
Step-by-step explanation:
Following are the binomial distribution with parameters:
[tex]n = 12\\\\p = 0.24[/tex]
For point a:
[tex]\to P(X = 3) = binom.dist(3, 12, 0.24, False) = 0.2573[/tex]
For point b:
[tex]\to P(X > 4) = 1 - P(X < 3) = 1 - binom.dist(3, 12, 0.24, True) = 0.3205[/tex]
For point c:
[tex]\to P(<8) = binom.dist(7, 12, 0.24, True) = 0.9979[/tex]
what is 6/11 - 9/2
Answer:
3 and 21/22
Step-by-step explanation:
You convert the fractions so they have the same number as the denominator and then subtract them.
Some one please help!!
Answer:
$542.50
Step-by-step explanation:
someone please help me answer this!!
Answer:
4 1/10
Step-by-step explanation:
4.1
= 4 + 1/10
= 4 1/10
Hope you understand!
A box of cherries weighs 2 1/4 pounds.
If you bought 5 boxes, what is the total
weight of the purchased cherries?
Answer:
The total weight of the purchased cherries is [tex]11\frac{1}{4}[/tex] pounds.
Step-by-step explanation:
Multiply [tex]2\frac{1}{4}[/tex] by 5.
[tex]2\frac{1}{4} * 5 = 11 \frac{1}{4}[/tex]
Answer:
11.25 or 45/4
Step-by-step explanation:
2 1/4 times 5
what is the circumference of a circle with a diameter of 23.4 inches?
please hellp
Answer:
Step-by-step explanation:
Circumference = 73.51
Hope this helps :)
Answer:
Assuming that [tex]\pi[/tex] is equivalent to 3.14, the circumference of the circle is 73.476 inches.
Step-by-step explanation:
The formula for the circumference of a circle is [tex]2\pi r[/tex], or the diameter of a circle multiplied by [tex]\pi[/tex]. Because the diameter is 23.4, that means the circumference would be 23.4 * 3.14 = 73.476 inches.
The sales tax rate is 5%. If Tucker buys a set of golf clubs priced at $245.00, what will be the total cost including tax?
5% of 245 is 12.25
245+12.25= 257.25
$257.25
Thirty-six percent of U.S. adults have postponed medical checkups or procedures to save money. You randomly select nine U.S. adult. Find the probability that the number of U.S. adults out of the nine who have postponed medical checkups or procedures to save money is exactly 3.
Answer:
0.2693
Step-by-step explanation:
Thus is a binomial probability problem :
p = 0.36
1 - p = 0.64
n = 9
x = 3
Using the binomial probability relation :
P(x =x) = nCx * p^x * (1 - p)^(n - x)
P(x = 3) = 9C3 * 0.36^3 * 0.64^6
P(x = 3) = 84 * 0.36^3 * 0.64^6
P(x = 3) = 0.2693