Answer:
24°
Step-by-step explanation:
The sum of all interior angles of a triangle always equal to 180°.
There are two givens in the problem. Set up the equation by equaling 180 to the two given angles and the unknown.
[tex]180 = 102 + 54 + x\\180 = 156 + x\\[/tex]
Isolate x by subtracting 156 to both sides.
[tex]180 - 156 = 156 - 156 + x\\x= 180-156\\x=24\\[/tex]
larry runs his heater when the temperature, t is no more than 70f
A- t<70
B- t>70
C t ≤ 70
D t ≥ 70
Answer:
its d i think bc i had that on my quizz
Step-by-step explanation:
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Answer:
Interest earned = $32.835
Step-by-step explanation:
Given the following data;
Principal = $275
Number of times = 0.5
Interest rate = 2.9% = 0.029
Time = 4 years
To find the interest earned, we would use the compound interest formula;
[tex] A = P(1 + \frac{r}{n})^{nt}[/tex]
Where;
A is the future value.
P is the principal or starting amount.
r is annual interest rate.
n is the number of times the interest is compounded in a year.
t is the number of years for the compound interest.
Substituting into the equation, we have;
[tex] A = 275(1 + \frac{0.029}{0.5})^{0.5*4}[/tex]
[tex] A = 275(1 + 0.058)^{2}[/tex]
[tex] A = 275(1.058)^{2}[/tex]
[tex] A = 275(1.1194)[/tex]
A = $307.835
Interest earned = 307.835 - 275
Interest earned = $32.835
Solve the simultaneous equations
y = 3 – 2x
x2 + y2 = 18
Show clear algebraic working.
(
x
,
y
)
=
(
3
5
,
4
1
5
)
or
(
x
,
y
)
=
(
−
3
,
−
3
)
Explanation:
Given
[1]
XXX
y
−
2
x
=
3
[2]
XXX
x
2
+
y
2
=
18
Re-writing [1]
[3]
XXX
y
=
2
x
+
3
Substituting
(
2
x
+
3
)
from [3] for
y
in [2]
[4]
XXX
x
2
+
(
2
x
+
3
)
2
=
18
Simplifying
[5]
XXX
x
2
+
4
x
2
+
12
x
+
9
=
18
[6]
XXX
5
x
2
+
12
x
−
9
=
0
Factoring
[7]
XXX
(
5
x
−
3
)
(
x
+
3
)
=
0
⇒
x
=
3
5
or
x
=
−
3
case 1:
x
=
3
5
Substituting
3
5
for
x
in [3]
XXX
y
=
2
(
3
5
)
+
3
=
4
1
5
case 2:
x
=
−
3
Substituting
(
−
3
)
for
x
in [3]
XXX
y
=
2
(
−
3
)
+
3
=
−
3
Suppose a call center receives 4000 calls on average during their Friday evening shift. Next Friday several people have put in for time off, so the center will be staffed by 178 call center employees. When working continuously, the average call center employee can handle 22 calls per evening shift (with a standard deviation of 5 calls). Assuming the center receives its expected 4000 calls next Friday, what is the probability that the center will have enough employees to handle this call volume
Answer:
The probability that the center will have enough employees to handle this call volume is 0.2764
Step-by-step explanation:
Probability is defined as the ratio of favorable outcomes to the total number of outcomes.
Here the total mean expected number of outcomes=u = 4000
The favorable expected outcomes are = x= 22* 178= 3916
The standard deviation= σ= 5
The random variable X =178 has normal distribution with mean 4000/22 and standard deviation 5
So z= x-u/σ
Z= (3916-4000)/22/5
z= -0.764
From the table of areas under normal curve
P ( x= 3916)= P( -0.764 ≤ Z≤ 0)
P ( x= 3916)= 0.2764
The probability that the center will have enough employees to handle this call volume is 0.2764
make k the subject of the relation ky-k=y^2
Step-by-step explanation:
ky - k = y^2
ky - k ÷ y = y^2 ÷ y
k = y
Tessellations
Find the coordinates of quadrilateral PQRS with vertices P(1, 4), Q(-1,4), R(-2, -4) and
S(2, -4) under the translation (x,y) ⇒ (x-5,y+3)
a. P' (-4, 7), Q' (-6, 7), R' (-7, -1) and S' (-3, -1)
b. P' (6, 7), Q' (4, 7), R' (3, -1) and S' (7, -1)
c. P' (-4, 1), Q' (-6, 1), R' (-7, -7) and S' (-3, -7)
d. P' (6, 1), Q' (4, 1), R' (3, -7) and S' (7, -7)
Please select the best answer from the choices provided
Answer:
A. P' (-4, 7), Q' (-6,7), R' (-7, -1) and S' (-3, -1)
Step-by-step explanation:
I calculated it logically
How much is 331 ft in meters?
it would be 100.889, darling. hope this helps. <3
how much normally is retaking a high school class?
Answer:
What do you mean?
Step-by-step explanation:
Which expression is shown on the number line?
Answer: i think its e
Step-by-step explanation:......
Answer:
no.A 5/3÷×1/3 is the answer
Solve for x in the triangle below. Round your answer to the nearest tenth. Help please
Step-by-step explanation:
sin theta =p/h
sin 42=x/13
0.66×13=x
x=8.69
stay safe healthy and happy.A pair of dice was rolled many times
and the results appear below. Based
upon these results, what is the
experimental probability of rolling a 2?
Outcome
2
3
3
4
5
6
7
8
9
10
11
12
Frequency
3
6
00
11
14
16
15 12
9
5
1
The percent probability is = [ ? ]%
Round to the nearest percent.
Enter
Simplify the expression
6:3x4
Answer:
8
Step-by-step explanation:
6:3=2
six divided by three equals four (hence the ratio)
2*4=8
two times four equals eight.
What is the volume of a cylinder with a
height of 18.5 m and a base with a
diameter of 5.2 m, to the nearest tenth of a
cubic meter?
392.9 m^3 is the real answer
Answer:
Yes it is is 392.9 m^3
Step-by-step explanation:
Volume of cylinder is π*r^2*h, π times radius squared times height.
Since the diameter is 5.2, the radius is 2.6 (half of it). 2.6^2 = 6.76, and the height is 18.5, 6.76*18.5 = 125.06. Multiply it by pi to get 392.887577258, round it to 392.9, The volume is 392.9 cubic meters.
Pls help
Zzzzzzzzzzzzzzzzzzzzzzzz
Answer:
d po yung answer
Step-by-step explanation:
sana makatulong
32. [Problem Solving 2] *
On Martha's 9th birthday, her mother
made a cake which had the digits 0 to 9
around the edge in red icing. Using the
guidelines below, her mother cut the
cake into 3 pieces so that the numbers
on each piece added to the same total.
Mark the cuts. What fraction of the
whole cake was the largest piece?
Answer:
The three pieces will have the following set of numbers
(9,6,0) (8, 4,3), (7,5, 1,2)
Step-by-step explanation:
Given,
Martha's mother has marked the cake into 10 equal pieces starting from 0 t0 9
Now, she divided the cake in a manner that sum of digits on each of the three pieces is equal
0,1,2,3,4,5,6,7,8,9
(9,6,0) (8, 4,3), (7,5, 1,2)
Hence the three pieces will have the following set of numbers
(9,6,0) (8, 4,3), (7,5, 1,2)
What is the value of x?
A) Impossible to determine
B)62°
C)56°
D)76°
Kevin and Doreen each made a fruit salad. The amounts of ingredients they have are shown. Kevin used all of the strawberries, blueberries, and melon to make his fruit salad. Doreen made 2 cups of fruit salad containing all of the bananas, peaches and apples. How much fruit salad did Kevin make? How much more fruit salad did Doreen make than Kevin?
Answer:
The first thing you should do for this case is to graph the data you have in the statement to see the relationship between grapes and blueberries.
The function represented by the table is
y = 0.25x
Then, as Mandie is making 15 glasses of fruit salad, we have:
y + x = 15
We have two equations and two unknowns that we must solve.
y = 0.25x
y + x = 15
Resolving
For x:
0.25x + x = 15
1.25x = 15
x = 15 / 1.25 = 12
For y:
y = 0.25x = 0.25 (12) = 3
Answer
The ratio of grapes to blueberries she should use is 12: 3
Help pls.......asap i have 2 minuets
Answer:
It would be 3 1/2!
Step-by-step explanation:
Because it is X by Y (Usually) AKA bottom row to side row so, it is in the middle of 3 and 4 so it would be 3 1/2!
Answer:
( 3, 3.5) or 3 1/2
Step-by-step explanation:
The cordinate is ( 3, 3.5) but if it has a fraction form like your question had all you want to do is convert 3.5 into a fraction. 3.5 into a fraction is 3 1/2 the 0.5 becomes 1/2 and the 3 is a 3. So the answer is 3 1/2 or ( 3, 3.5).
Question 11 of 20: Select the best answer for the question. 11.
Given gross sales of $50,000, sales returns and allowances of $6,000, beginning inventory of $4,000, net purchases of $8,000, ending inventory of $2,000, and operating expenses of $4,500, calculate net income.
A. $32.500
B. $28,550
C. $29.500
D. $30,570
Answer: $29500
Step-by-step explanation:
Given the information from the question, the net income will be calculated as:
Net sales = Gross profit - sales returns and allowances
= $50000 - $6,000
= $44000
Gross profit = Net sales - Cost of goods sold
= $44000 - $10000
= $34000
Net income = Gross profit - Operating expense
= $34000 - $4500
= $29500
large pies cost $5 and small pots cost $2. If $45 pies were sold for $120 how many small pies were sold
Answer:
I'm assuming that's supposed to just be 45, not $45
Step-by-step explanation:
35 small pies were sold
10 large pies = $50
35 small pies = $70
50 + 70 = 120
HELP
What is the equation of the trend line in the scatter plot ?
4. Paolo is filling a cylindrical water bottle. Unfortunately it is too big to fit in the sink he is filling up at so he has to use cone cups to fill up the bigger water bottle. The cone cups have a radius of 1 in, and a height of 3 in. how many cone cups would it take to fill the cylindrical water bottle?
Answer:
The answer is below
Step-by-step explanation:
The question is not complete, we need to be given the dimensions of the big cylindrical water bottle. Let us assume, that the big bottles has a dimension of radius 3 in and height 5 in.
Solution:
Firstly, we need to find the volume of the big cylindrical bottle, then we find the volume of the small cone.
Volume of the cylindrical bottle = πr²h = π(3²)5 = 45π in³
Volume of the small cone = πr²h/3 = π(1²)(3/3) = π in³
Therefore the number if cups required to fill the water bottle is the ratio of the volume of the cylinder to the volume of the small cone. Hence:
number of cone cups = 45π in³ / π in³ = 45 cups
Hence 45 cups of the cone would be needed to fill the cylindrical bottle
Write ONLY your numeric answer. You do not need the degree symbol.
B
E
310
D
с
Find mZDEC.
Answer:
118
Step-by-step explanation:
All angles inside a triangle add up to 180. D and C is the same. 31 x 2 = 62
180 - 62 = 118
PLEASE HELP I WILL GIVE BRAINLIEST (seven grade math)
On a Saturday morning,
Meaghan measured the temperature
and found a 5 degree increase An
hour later, the temperature
increased by another degree When a rain storm came through, the temperature dropped 6 degrees. What is the difference between the
temperature in the morning and the temperature after the rainstorm?
Answer:
Step-by-step explanation:
In the morning it was six degrees because you added that one other degree. But when it started raining it dropped down 6 degrees which will make it 0
A bus makes a stop at 2:30, letting off 10 people and letting on 3. The bus makes another stop ten minutes later to let off 2 more people. How does the number of people on the bus after the second stop compare to the number of people on the bus before the 2:30 stop?
HELP ME PLEASEEEEEEEEEEEEEEEE
Answer:
52
Step-by-step explanation:
break down the shapes into simpler ones
do base X height for both
add both
Answer:
52cm^2
Step-by-step explanation:
Split the figure into 3 rectangles or squares and find the area of the individual shapes, add all the areas together and you should get 52cm^2
Help please!!!!!! As soon as possible
ieadfjhnvlkadfsjnglkjvhndkjlfnvba;jdkfnvkl;jn help please
Answer:
A.
Step-by-step explanation:
It's the closest one to the answer, The answer I got is - 4;2
8y - (5y + 13 ) = -7
Answer:
y=2
Step-by-step explanation:
8y-5y-13=-7
3y-13=7
3y=-7+13
3y=6 /3
y=2
Josh likes to play an outdoor beanbag toss game in his spare time. On any toss, he has about a 30% chance of getting a bag into the hole. As a challenge one day, he decides to keep tossing beanbags until he makes it. Starting on line 5 of the random number table, how many times does Josh have to toss the beanbag in order to make it in the hole if we let success = 0–2 and failure = 3–9?
Answer:
B
Step-by-step explanation: