Answer:
MC =37.5
Step-by-step explanation:
In [tex] \triangle ABC,\: \angle B = 90\degree [/tex] and [tex] BM \perp AC.[/tex]
[tex] \therefore \angle AMB = 90\degree [/tex]
By Pythagoras Theorem:
[tex]AM^2 + BM^2 = AB^2 \\
BM^2 = AB^2 - AM^2 \\ BM^2 = {10}^{2} - {2.5}^{2} \\ BM^2 = 100 -6.25 \\ \red{BM^2 = 93.75} \\ now \: by \: geometric \: mean \: theorem : \\ BM^2 =AM \times MC \\ 93.75 = 2.5\times MC \\MC = \frac{93.75}{2.5} \\ \huge \orange{ \boxed{ MC =37.5}} \\ [/tex]
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Answer:
answers are in the boxes
PLEASE HELP
show all work
Answer:
[tex]8i^{22}[/tex] - 1
Explanation:
It's actually quite easy to tell which simplifies to a real number without working out the problem.
[tex]i^{2}[/tex] = -1
Any imaginary number with an even exponent is simplified to a real number. If it has an odd exponent, it cannot be simplified to a real number.
Some tips for fully solving the expression:
If the exponent is divisible by 4, then don't change the sign of the coefficient. You're just multiplying it by 1 because [tex]i^{4}[/tex] = [tex](i^{2})^{2}[/tex] = [tex](-1)^{2}[/tex] = 1
If the exponent is divisible by 2, change the sign of the coefficient because you're multiplying it by -1.
Solve4(a+4) - 2 = 34
Answer:
a = 5
Step-by-step explanation:
You have to isolate the variable by dividing each side by factors that don't contain a variable.
Answer or i can giv u the ansur if you want it
Step-by-step explanation:
Find the sum. (-7/2z+4)+(1/5z-15)
Answer:
-(33+110z)/10z
Step-by-step explanation:
(-7/2z +4)+(1/5z -15)
from BODMAS, solving the one in the bracket
First(-7/2z +4)+(1/5z -15)
Find the Lcm
[-7/2z +4] +[1/5z -15]
(7+8z)/2z +(1-75z)/5z
find the Lcm which is 10z
[5(-7+8z) + 2(1-75z)]/10z
[(-35+40z)+(2-150z)]10z
(-35+2+40z-150z)/10z
(-33-110z)/10z
-(33+110z)/10z
The sum of the expression {(-7/2z) + 4} + (1/5z) - 15} is - 6/5z - 11.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
The sum of {(-7/2z) + 4} + (1/5z) - 15}.
= (-7/2z) + (1/5z) + 4 - 15.
= (-14 + 2)/10z - 11.
= - 12/10z - 11. (LCM of 2z and 5z is 10z)
= - 6/5z - 11.
learn more about numerical expressions here :
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If h(x) = x2 + 3x +2. what does f(2) equal?
13
10
12
11
Answer:
Step-by-step explanation:
h(2) = (2)^2 + 3(2) + 2 = 4 + 6 + 2 = 12
12 is the answer
4) Anna uses 4 gallons of gas to drive 160 miles on the
highway. If she travels at the same rate, how many miles can she drive on 7 gallons of gas
A. 40 miles
B. 80 miles
C. 200 miles
D. 280 miles
Answer:
D. 280miles
*Step by step explanation*
miles= 160miles × 7gallons / 4 gallons
miles = 280 miles
A person who had $1,000,000 gave $100 to charity. How much must a student who has $100 give to charity to give proportionally the same as the millionaire?
(100 / 1,000,000) × 100% = 0.01%
x = amount of money the student has to give.
(x / 100) × 100% = 0.01%
We can cancel out the 100's
x = $0.01
The student would have to give $0.01 or 1 cent
the ratio of men to women is 3:4 and the ratio of women to children is 5:2. write the ratio of men to women to children
Answer:
15:20:8
Step-by-step explanation:
You have to find a common factor between 4 and 5 because there are 3 men to 4 women and 5 women for 2 children, those numbers don't directly correlate. The easiest waay would be to multiply 4 and 5.
4 x 5 = 20
So we can correct the first ratio.
3 X 5 = 15
So the ratio of men to women is 15:20.
Now we find the ratio of women to children.
4 x 5 = 20
4 x 2 = 8
The ratio of women to children is 20:8.
Now that we have the same number in each ratio for women, we can combine them.
The ratio of men to women to children is:
15:20:8
If an Australian contractor ordered $340,000 U.S. Dollars worth of steel from an American company, what is the cost of the steel in Australian dollars? (Enter a number as an exact integer or decimal.)
Answer:
466895
Step-by-step explanation:
If you know the conversion, it's easy.
1 US dollar is about 1.37322 Australian.
so, you multiply 340,000 times 1.37322 and get about 466895 Australian dollars
Angles A and B are supplementary. If angle A= 137° then angle B is
Answer:
43°
Step-by-step explanation:
Angles A and B are supplementary
i. e. angle A + angle B =180°
137° + angle B =180°
angle B=180°-137°
=43°
What is 55% of $11,000 dollars?
$550
$5,500
$6,050
$5.00
Answer:
6,050 would be the right answer
Step-by-step explanation:
Please help me with this question
Answer: C
Step-by-step explanation:
To find f(g(x)), you plug in g(x) into f(x).
[tex]f(g(x))=\sqrt{(8x-12)+8}[/tex] [combine like terms]
[tex]f(g(x))=\sqrt{8x-4}[/tex] [factor]
[tex]f(g(x))=\sqrt{4(2x-1)}[/tex] [square root of 4]
[tex]f(g(x))=2\sqrt{2x-1}[/tex]
Now, we know that the answer is C.
Ina school 3/7 of the student are girls if there are 240 boys, find the number of girls
The number of Girls in a school is 180.
Find the number of girls.
There are girls in a school = 3/7
Number of boys in a school = 240
Assume that there are x students in a school.
Number of Girls = 3/7 of All Students.
= 3/7 of x
= 3x/7
We know that,
Total Students = Number of Boys + Number of Girls.
240 + 3x/7 = x
240 = x - 3x/7
240 = (7x - 3x) /7 (Taking L.C.M.)
240 × 7 = 4x
x = 60 × 7
x = 420
Total number of Students in a school is 420.
Thus, Number of Girls = 3/7 × x
= 3/7 × 420
= 180
So, the number of Girls in a school is 180.
Learn more about problems on find the number.
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Find the length of AB if AB = x + 10, BC = x + 14, and AC = 32.
Answer:
14
Step-by-step explanation:
AB + BC = AC
[tex]x + 10 + x +14 = 32 \\ 2x = 8 \\ x = 4 \\ \\ [/tex]
AB = 4 + 10 = 14
Answer:
AB = 14Step-by-step explanation:
AB + BC = AC
x + 10 + x + 14 = 32
2x + 24 = 32
-24 -24
2x = 8
÷2 ÷2
x = 4
AB = x+10 = 4+10 = 14
.9274 is it rational, whole, or integer
Answer:
rational
Step-by-step explanation:
Answer:
.9274 is a integer
Step-by-step explanation:
rational numbers have to be able to be written as a fraction.
.9274 is not a whole number.
therefore it is an integer.
3.
Andrew wants to buy 28 radio sets. Each radio set costs $229. Give a
quick estimate of the total cost of the radio sets.
what is the solution to 3/4b=8
Answer:
[tex]b=\frac{32}{3}[/tex]
Step-by-step explanation:
[tex]\frac{3}{4}b=8[/tex]
Multiply both sides by 4:
[tex]4\times \frac{3}{4}b=8\times4[/tex]
[tex]3b=32[/tex]
Divide both sides by 3:
[tex]\frac{3b}{3}=\frac{32}{3}[/tex]
[tex]b=\frac{32}{3}[/tex]
A racecar driver holds the record for the fastest speed of 212.809 miles per hour.
Part A
What is 212.809 rounded to the nearest hundredth? Enter your answer in the box.
Part B
Which explains how you round 212.809 to the nearest hundredth?
A.
Since the digit in the hundredths place is less than 5, keep the digit in the hundredths place. Then drop the digit in the thousandths place.
B.
Since the digit in the hundredths place is less than 5, keep the digit in the tenths place. Then drop the digit in the hundredths and thousandths places.
C.
Since the digit in the thousandths place is greater than or equal to 5, increase the digit in the hundredths place by 1. Then drop the digit in the thousandths place.
D.
Since the digit in the thousandths place is greater than or equal to 5, keep the digit in the hundredths place. Then drop the digit in the thousandths place.
Answer: 212.81
C. Since the digit in the thousandths place is greater than or equal to 5, increase the digit in the hundredths place by 1. Then drop the digit in the thousandths place
Step-by-step explanation:
What is 212.809 rounded to the nearest hundredth?
When we want to round off 212.809 to the nearest hundredth, the main thing that we will need to consider is for us to look at the thousandths value that is contained in the number of 212.809, and this is is 9.
Since 9 is more than 5, iteams that we will have to add 1 to the number at the hundredth place. This.meane we will add 1 to 0 which will give us 1 and we them drop the digit in the thousandths place. Therefore,
212.809 = 212.81 to nearest hundredths
- 12x + 10x
how can i simplify this ?
Answer:
- 2x
Step-by-step explanation:
Step 1:
- 12x + 10x
Answer:
- 2x
Hope This Helps :)
Answer:
-2x
Step-by-step explanation:
Like the other problem, we want to combine our like terms(in this case, all terms with x's). In order to do this, all you have to do is ignore the x's and then add the numbers together. -12 + 10 = 2. Now that we've added them together, you can add the x back to get 2x.
Enrico translates figure Q to get figure Q’. Then he rotates figure Q’ to get figure Q’. Explain why figure Q and figure Q’’ are congruent
What are some ratios that are not equivalent to 6/9 I need this before 7 pm pacif time!
Answer:
1:8
33:8
1:1
88:99
6:7
235:9
What is 3|-a+5| if a is 7
Answer:
6
Step-by-step explanation:
The I I is just absolute value, so it will give a positive result. if a=7,
3I-7+5I
-7+5=-2, but because this is absolute value, -2=2
Then you have 3(2),
3*2=6
help!!!..
Gina rented shoes, bowled 3 games, and bought 1 order of
nachos. She used a coupon for half off the price of her bowling
games. What was Gina's total cost?
Answer:
It would be $ 8.25 without the tax.
Step-by-step explanation:
If you add $2.75(the cost for bowling shoes) then multiply the cost for one bowling game by 3, since she played 3 games, then add that to the cost of shoes, then add the cost for the food, which gives your $12.00. Then take 50% of the price of bowling games. Which is $3.75. Then replace that with the original price of the 3 bowling games! Which gets you.....$8.2 for the total cost without tax
A golf player is trying to make a hole-in-one on the miniature golf green shown. 19.2 ft12.8 ft Imagine that a coordinate grid is placed over the golf green. The golf ball is at (4, 3.2) and the hole is at (15.2, 3.2). The player is going to bank the ball off the side wall of the green at (9.6, 12.8). Part 1 out of 2 Enter an equation for the path of the ball. Enter the parameter a as a fraction in lowest terms. y =
Answer:
- 12/7|x-9.6|+12.8
Step-by-step explanation:
In a community garden shown to the right you want to plan a fence in a vegetable garden that is adjacent to your friends Garden you have at most 44 ft of fence and the fence must around all four sides of your garden what is the possible lengths of your garden
Answer:
Length of the garden = 13 ft
Width of the garden = 9 ft
Step-by-step explanation:
Let the length of my new garden = l ft
It's given in the question,
width of the garden = 9 ft
Formula to calculate the perimeter of a rectangle is,
P = 2(L + W)
Where L = length of the garden
W = width of the garden
P = perimeter of the garden
Length of the fence = 44 ft
By substituting values in the formula,
44 = 2(l + 9)
22 = l + 9
l = 22 - 9
l = 13 ft
Therefore, length of my new garden = 13 ft
Width of the garden = 9 ft
Ninety-two is all of the following except _____.
a term
an expression
a constant
a variable
Answer:
hello!
ninety two is a term, an expression, a constant but not a variable
hope it helps you!
Answer:
Ninety-two is all of the following except a variable
Solve |7x+42| =14x. Identify the solution and an extraneous solution.
Answer:
x = 140.3333333........
Step-by-step explanation:
17x+421 = 14x
move the numbers with x's to the left and 421 to the right so it makes
17x then 14x is positive but moved to the opposite side it becomes negative.
Then 421 is positive on the left so moved to the right makes it negative.
Which is 17x-14x=(-421)
then you do 17x mines 14x which is 3x
3x = (-421)
Now your goal is to isolate your variable x. So divide both sides by 3 because x is multiplied by three you need to do the opposite.
x = 140.3333333..........
Answer:
Solution: x = 6;
Extraneous Solution: x = - 2
Step-by-step explanation:
Lisa is decorating the outside edge of a square picture frame. She needs to know the side length of the frame. The area of the frame is mm square inches. Which shows the side length, in inches, of the picture frame?
Answer:
Step-by-step explanation:
If you have the area just divide it by 4 and that will give you the answer .
A square has all equal sides
20
What is the sum of 7x4 + 2xy - 5y3 and 2x4+3xy + 2y3?
Step-by-step explanation:
7x^4+2xy-5y^3
+2x^4+3xy+2y^3
=9x^4+5xy-3y^3
-5x - 16 + 3x = -23 - 9x
???Anyone I need help
Answer:
x=−1
Step-by-step explanation:
Let's solve your equation step-by-step.
−5x−16+3x=−23−9x
Step 1: Simplify both sides of the equation.
−5x−16+3x=−23−9x
−5x+−16+3x=−23+−9x
(−5x+3x)+(−16)=−9x−23(Combine Like Terms)
−2x+−16=−9x−23
−2x−16=−9x−23
Step 2: Add 9x to both sides.
−2x−16+9x=−9x−23+9x
7x−16=−23
Step 3: Add 16 to both sides.
7x−16+16=−23+16
7x=−7
Step 4: Divide both sides by 7.
7x
7
=
−7
7
x=−1
Answer:
x=−1
Answer: x= -1
Step-by-step explanation: