Answer: √117
Step-by-step explanation:
Since no diagram present, am assuming hypotenuse AB and right angle C. Let side opp angle B be b, and side opposite angle A be a. Altitude CD is x.
a^2 + b^2 = 22^2 (Pythagorean)
Using Pythag on two smaller triangles,
x^2 + 13^2 = a^2
x^2 + 9^2 = b^2
Substituting in first equation,
x^2 + 13^2 + x^2 + 9^2 = 22^2
x^2 = 117, so x = √117
The resting heart rates for a group of men involved in a clinical trial of a new medication were recorded at the beginning of the study. The results in beats per minute were
Which relation is a function?
A) {(2,3). (5,8).(-4,-1). (9.7), (2.1)}
B) {(2,3). (5,8).(-4-1). (9.7). (5,7)}
C) {(2,3). (5.8).(-4,-1). (9.7).(-2.1)}
D) {(2,3). (5.8).(-4,-1). (5,7), (-2,1)}
With Department A sales of $200,000, Department B sales of $600,000, and overhead expense to be allocated of $25,000, the distribution of overhead to Department A based on sales is:
Answer:
6,250$ is the overhead for department a
The distribution of overhead to Department A based on sales is $6250.
What is an overhead expense?A recurring cost of running a firm is referred to as overhead or overhead charge. While operating expenses like material and labor, overheads could easily be linked to or recognized with any one revenue unit.
They are operating costs for a business that cannot be connected to the creation or production of a good or service. They are really the costs a business must pay to remain open, independent of how successful it is.
Department A has sales of $200,000
Department B has sales of $600,000
Therefore the ratio between the two departments will be:
200000: 600000
= 1 : 3
The overhead expense for both the department combined are $25,000
The share of department A will be at
= 25000 * (1/4)
= $6250
Learn more about overhead expense, Here:
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D.
$3.75
Two families went bowling. Each hour of bowling costs b dollars per person, plus a flat foo
of 52 per person for shoe rental. The expression 3 (6 + 2) + 4(6+2) represents the total
cost of both familes to bowl for one hour Choose the equivalent expression below
A.
7(6+2)
B
7(20+4)
с
36 +2+4+2
D
37 +6++2
4
The relationship (3,2)(2,5) (8,5) (3,6) is a function
A True
B) False
Can anyone please help I am struggling with math and Noone wants to help me and I want to learn so does anyone understand HOW u factor this
Answer:
Step-by-step explanation:
256 = 16×16=4×4×4×4 = 4^4
X^4-4^4 = (x^2)^2 - (4^2)^2
Using algebraic identity a^2-b^2 = (a+b)(a-b)
We get (x^2+4^2)(x^2-4^2)
(x^2+4^2)(x+2)(x-2)
Find f (-9) with the given function rule of f(x)= x-3
Step-by-step explanation:
We have f(-9) = (-9) - 3 = -12.
Answer:
-12
Step-by-step explanation:
f(9)=-9-3= -12
....
A cop wrote 380 citations for warnings and speeding tickets. Of these there were 40 more warnings and speeding tickets. How many warnings and speeding tickets were issued?
Answer:
210 warnings and 170 speeding tickets
Step-by-step explanation:
Add them together and you get 380.
210 is 40 more than 170
Drag each tile to the correct box. Not all tiles will be used. Consider the following función. F(x) = 4x + 7
9514 1404 393
Answer:
see attached
Step-by-step explanation:
Starting with the original function, swap the variables x and y, then solve for y. The resulting function is the inverse of the original function.
Answer: The person that answered at the top is a legend!! The picture below is just proof that he/she is right!! :)
Which number goes in the box to make a true equation?
]X 10 = 42.000
Answer:
x=4200
Step-by-step explanation:
10x=42000
x=4200
NiCole Spent 15% of her day doing homework. How many hours did she spend on her homework?
Answer:
4 hour of her day
Step-by-step explanation:
A construction company is repaving a damaged road. So far, they have repaved a total of 8,747 centimeters of the road. Today, they repaved 2,138 centimeters of the road. About how many centimeters of the road had they repaved before today?
Answer:
previously repaved= 6,609cm
Step-by-step explanation:
Giving the following information:
So far, they have repaved a total of 8,747 centimeters of the road. Today, they repaved 2,138 centimeters of the road.
To calculate the number of centimeters repaved, we need to use the following formula:
Total centimeters= repaved today + previously repaved
8,747= 2,138 + previously repaved
6,609=previously repaved
In the scale used on a blueprint, 12 inch represents 3 feet. On the blueprint what is the length of a room with an actual length of 24 feet?
Answer:
27 feet
Step-by-step explanation:
Find the area of this isosceles trapezoid.
Answer:
431
Step-by-step explanation:
Write four and five-eighths as an improper fraction and as a mixed number.
A. start fraction 37 over 8 end fraction, 5Four-eighths
B. start fraction 44 over 8 end fraction, 5Four-eighths
C. start fraction 37 over 8 end fraction, 4start fraction 5 over 8 end fraction
D. start fraction 32 over 8 end fraction, 4start fraction 5 over 8 end fraction
PLEASE HELP WORTH 20 POINTS
Answer:
the answer is c.
Step-by-step explanation:
i multiply the 4 by the 8 on the denominator and add that answer to the numerator which equal to 37/8
and the mixed number stays the same since its already mixed.
Answer:
C
Step-by-step explanation:
The number of chairs in the classroom is twice the number of tables plus six. If there are thirty-six pieces of furniture in the classroom between chairs and tables, how many chairs and tables are there?
Answer:
24 chairs and 18 tables
Step-by-step explanation:
I split it up so 24 chairs and 12 tables plus 6 so 18 tables.
37 The distance between two cities on a map is 3.5 centimeters. The map uses a scale in which
1 centimeter represents 20 kilometers. What is the actual distance between these two cities in
kilometers?
Record your answer in the boxes below
If you are testing on paper, record your answer for number 50 in the boxes below.
If you are testing online, type your answer in the box for question number 50 exactly as you
would have put it in the boxes below.
Answer:
[tex]70\ \text{kilometers}[/tex]
Step-by-step explanation:
The scale of the map is 1 centimeter distance on the map represents 20 kilometers of actual distance.
The distance between the two cities is 3.5 centimeters on the map
[tex]1\ \text{centimeters on the map}=20\ \text{kilometers of actual distance}[/tex]
So,
[tex]3.5\times 20=70\ \text{kilometers}[/tex]
So, the distance between the two cities is [tex]70\ \text{kilometers}[/tex].
if you answer this i will give brainliest
Answer:
Hey can you post this again please
Step-by-step explanation:
It wont let me put in the answer i tried to copie and paste it but it didnt work
I help pls
I dum dum at math
Answer:
AB - XY ≅ 0
Step-by-step explanation:
since AB is identical to XY, AB - XY would be approximately 0
Sally launches a rocket off of a platform. The height of the rocket, in meters, can be modeled by the function, h(x) = -5(x - 3)2 + 56, where x is in seconds. o What is the height of the platform? o What is the maximum height the rocket reaches? o How long does it take to reach this height?
Answer:
Time = 3secs
Max height = 56m
Step-by-step explanation:
Given the height reached by the rocket modeled by the equation;
h(x) = -5(x - 3)² + 56 where;
x is in seconds
The rocket velocity at its maximum height is zero.
Hence dh/dx = 0
dh/dx = 2(-5)(x-3)
dh/dx = -10(x-3)
Since dh/dx = 0
0 = -10(x-3)
0 = -10x + 30
10x = 30
x = 3secs
Hence it takes 3 secs to reach the maximum height.
Get the maximum height reached by the rocket. Substitute x = 3 into the equation given;
Recall that:
h(x) = -5(x - 3)² + 56
If x = 3
h(3) = -5(3 - 3)² + 56
h(3) = 0 + 56
h(3) = 56
Hence the maximum height that the rocket reaches is 56m
Please I need help on this
Answer:
i cant see the picture that well
Brian is baking apple pies to donate to a local retirement home. Apples are selling for $2.90 a pound. How much will it cost Brian to buy 3.8 pounds of apples
Step-by-step explanation:
Brian would need $2.90 * 3.8 = $11.02 to buy the 3.8 pounds of apples.
Answer:$11.02
Brian would need ($2.90 * 3.8 = $11.02)to buy all the 3.8 pounds of apples.
Complete the recursive formula of the arithmetic sequence 20, 26, 32, 38, ....
Answer:
a(1) = 20 or 14. Does Khan say that the first term of the sequence shown is the 1'st term or not.
a(n) = a(n-1) + 6
If not correct then I'm sorry
Step-by-step explanation:
Answer:
a(1) = 20
a(n) = a(n-1) + 6
Step-by-step explanation:
Nicole rented a scooter while she was on vacation. She paid an initial rental fee of $50 plus a daily fee of $ 25 each day. The total cost was for the rental was $300. How many days did Nicole rent the scooter
Answer: Nicole rented the scooter for 10 days.
Step-by-step explanation:
50 + 25 = 75 (Day 1)
75 + 25 = 100 (Day 2)
100 + 25 = 125 (Day 3)
125 + 25 = 150 (Day 4)
150 + 25 = 175 (Day 5)
175 + 25 = 200 (Day 6)
200 + 25 = 225 (Day 7)
225 + 25 = 250 (Day 8)
250 + 25 = 275 (Day 9)
275 + 25 = 300 (Day 10)
Write an equation of the line that goes through the point (6, 12) and has a slope of 2 3 .
Answer:
3y = 2x + 24
Step-by-step explanation:
The correct question is as follows;
Write an equation of the line that goes through the point (6, 12) and has a slope of 2/3
Solution
Here, we have a point and a slope, and we want to write the equation of the line
The method we shall use here is the point slope method
Mathematically, that will be;
y-y1 = m(x-x1)
(x1,y1) = (6,12)
m = 2/3
y-12 = 2/3(x-6)
3(y-12) = 2(x-6)
3y-36 = 2x - 12
3y = 2x -12 + 36
3y = 2x + 24
Plz, Help me with this question.
Answer:
the answer is I its adding 11
1. Check whether the following numbers are in proportion or not:
(i) 3, 5, 6, 10
(ii) 0.25, 0.5, 50, 100
(iii) 3, 412, 6, 923
(iv) 412, 113, 214, 23
Answer:
the answer is 18-3/9 into 3rds 13/3
Step-by-step explanation:
Answer:
5/23 into 8
Step-by-step explanation:
can I get help with some algebra polynomial in standard form
Step-by-step explanation:
Standard form :
1. = x⁴ - 2x² + 3
2. = 5m³ - 3m² + 9m - 7
hope this will be helpful for you and plzzz mark my answer as brainlist plzzzz vote me also....
What is the value of the “t” in the equation: 12t − 2(t − 5) = 60 ?
Answer:
First write the given equation[tex]{:}\longrightarrow\tt 12t +2 (t-5)=60 [/tex]
Simplify[tex]{:}\longrightarrow\tt 12t+2t-10=60 [/tex]
[tex]{:}\longrightarrow\tt 14t-10=60 [/tex]
[tex]{:}\longrightarrow\tt 14t=60+10 [/tex]
[tex]{:}\longrightarrow\tt 14t=70 [/tex]
[tex]{:}\longrightarrow\tt t=\cancel{\dfrac {70}{14}}[/tex]
[tex]{:}\longrightarrow\tt t=5 [/tex]
[tex]\therefore\sf t=5 [/tex]
what is -3(x+6) equal to?
HAPPY?????
Answer:
-3x - 18
Step-by-step explanation:
Use the distributive property.
-3(x + 6) = (-3)(x) + (-3)(6) = -3x - 18
Answer:
-3x-18
Step-by-step explanation:
Use the distributive property to simplify
-3(x+6)
(-3*x)+(-3*6)
-3x+(-18)
-3x-18