____________________________
1.) Fill in the formula: F = [tex]B^2-C^2=A^2[/tex]F = [tex]12^2-13^2=A^2[/tex]F = [tex]144-169=A^2[/tex]2.) Subtract:[tex]169-144=25[/tex]3.) Find the square root of 25:[tex]\sqrt{25} =5[/tex]So your answer would be C, [tex]\bold{a=5}[/tex].
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Which of the following is the solution (x,y) of the system of equations x-2y = 2 and -x+2y = 2
Answer:
Step-by-step explanation:
x-2y = 2
-x+2y = 2
set 1st eq. equal to 2nd equation since they both equal 2
x -2y = -x + 2y
2x = 4y
x = 2y
1/2x = y
(x, 1/2x ) :P
A person swims 11 miles downstream in the same time they can swim 7 miles up stream. The speed of the current is 4 miles per hour.
These situations can be represented by the equations
Downstream: t=11/s+4 Upstream:t=7/s-4,
where t stands for time and s is the speed of the swimmer. What is the speed of the swimmer swimming in still water?
Answer:
s = 18 mph
Step-by-step explanation:
At downstream, time is; t = 11/(s+ 4)
At upstream, time is; t = 7/(s - 4)
Since they both are passed in the same time, then ;
11/(s+ 4) = 7/(s - 4)
Cross Multiply to get;
11(s - 4) = 7(s + 4)
11s - 44 = 7s + 28
11s - 7s = 44 + 28
4s = 72
s = 72/4
s = 18
48. A wire is securely attached from the top of
a 26-foot pole to a stake on the ground
14 feet from the base of the pole. Find the
length of the wire to the nearest tenth of a
foot.
A. 21.9 feet
B. 24.3 feet
C. 28.7 feet
D. 29.5 feet
Answer:
D. 29.5 feet
Step-by-step explanation:
1) First you use the pythagorean theorem a^2+b^2=c^2
2) 26^2+14^2=c^2 The wire is the hypotenuse.
3) Simplify the equation. 676+196=c
4) 872=c
5) Find the square root of 872 and round to the nearest tenth.
6) Your answer is 29.5 feet.
Hope this helps!
At 7am there was 4 inches of snow on the ground. After that, the snow fell at a rate of 1.5 inches per hour. Equation:
Answer:
y(t) = 4 + 1.5t
.
Step-by-step explanation:
Initial amount of snow = 4 inches
Fall rate of snow = 1.5 inch per hour
Equation to model the scenario goes thus :
Initial amount of snow + (fall rate of snow * number of hours)
Let the number of hours = h
4 inches + (1.5 inch per hour * h)
Equation, y(t) becomes ;
y(t) = 4 + 1.5t
Megan has $25 to spend at the movies. If her ticket cost $8.75 and she already
purchased a drink for $3.50, how much does she have left to spend on snacks?
Answer:
$12.75
Step-by-step explanation:
8.75 + 3.50 = 12.25
25 - 12.25= 12.75
Last year, Maria planted a tree that is 5 11/12 feet tall. This year, the tree is 7 2/3 feet tall. How many feet did the tree grow?
Answer
Step-by-step explanation:
1 3/4
whats the equation to #4
Answer:
I'm guessing this is for volume
Step-by-step explanation:
The equation to number 4 is
15 x 10 x 12= 1,800 in³
If two angles are vertical and one of the angles measures 65 degrees, what is the measurement of the other angle?
Answer:
65 degrees, because vertical angles are always congruent.
Step-by-step explanation:
At middle school lunch in the cafeteria, 60% of the students pack a lunch and 40% buy a lunch. Of the students who pack a lunch, 70% have a cookie. What is the percent of the students who have a cookie at lunch?
Answer:
42%
Step-by-step explanation:
The computation of the percentage is shown below:
Here we assume that there are 100 students
So according to the question
60% of the students would pack the lunch i.e. 60 students
And, 40% of the students buy a lunch i.e. 40 students
Now the students who pack the lunch they have 70% of cookie
So, 70% of 60 students = 42 students
Now the percentage is
= 42 students ÷ 100 students
= 42%
A school principal wants to find out what the students think about the teaching
quality in the school. Which of these samples is unbiased?
If I have the letter x after a number, what does it mean?
Ex. 20x = 5
Answer:
It means that 20 times x is 5
also the answer to that problem (20x=5) is 1/4
Step-by-step explanation:
20x means
20 * x
and since 20 * x = 5
divide 5 and 20
5/20 = 1/4
Tell whether the angles are adjacent or vertical. Then find the value of x.
Answer:
[tex]x = 25[/tex]
Step-by-step explanation:
The angles are vertical since they form from two lines crossing at a point and they share a same vertex.
Vertical angles are equal so
[tex]4x - 25 = 75[/tex]
[tex]4x = 100[/tex]
[tex]x = 25[/tex]
The equation of the line shown in the graph is y = ?.
Answer:
y=5x-5
Step-by-step explanation:
we start from -5 and go rise/run so its 5
Hi can somebody help me, also explain what a alter interior angle is please
Answer:
a interior angle is a the angle between adjacent sides of a rectilinear figure.
it is 6
--heart if it helped you!--
in 2010. 465 students went to a certain school. In 2014, 372 students went to the same school. By what percent did the number of students decrease?
Answer:
20%
Step-by-step explanation:
465 - 372 = 93
93/465 = 0.2
0.2 × 100 = 20
Hope this helps !
The diameter of a circle is 4 millimeters. What is the circle's circumference?
Answer:
4pi millimeters.
Assuming pi = 3.14159, we can approximate the diameter to be 12.56636mm
Step-by-step explanation:
To get the circumference of a circle, just multiply the diameter by pi
Answer:
C=0.125m
Step-by-step explanation:
C = 2[tex]\pi[/tex]r= (2r)[tex]\pi[/tex] = d[tex]\pi[/tex] = 0.004·[tex]\pi[/tex] = 0.125m
GIVING BRAINLIEST!!!!!!
In which step does a mistake first occur? (24+3+10)-14+2
Step1: (8+10)-14+2
Step 2: 18-14+2
Step3: 4+2
Step 4: 2
What's the x plz help
Answer:
The answer for x is ten
Ms. Morrison is purchasing a house and needs to finance a $150,000 mortgage from
the bank with an annual percentage rate (APR) of 3.8%. She is financing it over 30
years and making monthly payments. What is the monthly payment?
Preform the indicated operation. √75 + √12
Answer:
the exact form is [tex]7 \sqrt{3}\\[/tex] but the decimal form is 12.124 :)))
Step-by-step explanation:
im not sure if its too small or not
Answer:
area of ring shape =
[tex](\pi \times 6 \times 6) - (\pi \times 4 \times 4)[/tex]
=
[tex]36\pi - 16\pi[/tex]
=
[tex]20\pi[/tex] square inches
(NO LINKS OR ELSE YOU WILL BE REPORTED)
Part A
What is the value of x?
Show your work.
Part B
Describe two different ways you could find measure of angle CFD. What is the measure of this angle?
Answer:
Step-by-step explanation:
Part A
Since, all angle formed at point F lie on a straight line CE.
Therefore, sum of angles ∠AFE, ∠AFB, ∠CFB will be 180°.
(7x + 4) + (8x + 6) + (6x + 2) = 180
21x + 12 = 180
21x = 168
x = 8
Part B
Two lines CD and AE intersect each other at point F.
Therefore, ∠AFE ≅ ∠DFC [Vertically opposite angles]
m∠CFD = (7x + 4)°
= 7(8) + 4
= 60°
Since, all angles formed at point F on a straight line AD are linear angles,
m∠AFB + m∠CFB + m∠CFD = 180°
(8x + 6) + (6x + 2) + m∠CFD = 180°
14x + 8 + m∠CFD = 180
m∠CFD = 172 - 14x
= 172 - 14(8)
= 172 - 112
= 60°
?? I need a step by step explanation, please
Answer:
( 4 , − 1 )
Step-by-step explanation:
y= (x + 3)(x + 5)
y= x^2 + 5x + 3x + 15
y= x^2 + 8x +15
Given h(x)=4x-4h(x)=4x−4, find h(-3)h(−3).
Answer:1
Step-by-step explanation:
4x-4x+4=4h(x)
4=4h(x)
h(x)=1
h(-3)h(-3)=(1)(1)=1
PLEASE HELP ME!! I WILL GIVE BRAINLIEST. ITS DUE IN AN HOUR
Answer:
1. 3k=150
2. 50
The volume of a cylinder is 8T cubic centimeters. The
radius and the height are equal. What is radius of the
cylinder? Explain how you know.
HELP ME PLEASEEEEEEE I WILL GIVE BRAINLIEST PLZ HELP PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ
Answer:
pretty simple, you should get 1824
Step-by-step explanation:
first find area of square, you should get 1536 in^2. Then triangle, the formula is base times height divided by 2. lmk if you need more help
How many centimeters are equal to 9 meters?
i think Is 9p centímetros
factorise it
[tex]v[/tex]
Answer:
2(x – ½)(x + ½)
Step-by-step explanation:
2x² – ½
The above expression can be factorised as follow:
2x² – ½
2 is common to both 2 and ½. Thus,
2x² – ½ = 2[x² – ¼]
Recall
(½)² = ¼
Thus,
2[x² – ¼] = 2[x² – (½)²]
Difference of two squares
2(x – ½)(x + ½)
Therefore,
2x² – ½ = 2(x – ½)(x + ½)
how many unique triangles can be drawn with side lengths of 3 units, 4 units, and 5 units
Answer:
1 perfect right angle
Step-by-step explanation:
please mark this answer as brainlest