Answer:
3^2 + 11^2 = 130
7^2 + 9^2 = 130
---
1^2 + 18^2 = 325
6^2 + 17^2 = 325
Step-by-step explanation:
We want to express 130 and 325 as the sum of two squares in two different ways.
Then, we want to find two integers a and b such that:
a^2 + b^2 = 130
There is not an analytical way to do this, we just need to try with different integers.
Let's start with 130.
So we start by defining a as a really small integer, for example 1, and try to find b.
1^2 + b^2 = 130
b^2 = 130 - 1
b^2 = √129 = 11.3
This is not an integer, so let's try with another value of a.
a = 2
2^2 + b^2 = 130
4 + b^2 = 130
b^2 = 130 - 4
b = √126 = 11.2
This can be discarded again.
Now let's try with a = 3
3^2 + b^2 = 130
9 + b^2 = 130
b^2 = 130 - 9
b = √121 = 11
Nice.
So we can express 130 as:
3^2 + 11^2 = 130
Now let's find another pair.
In the same way, we can see that for a = 7 we get:
7^2 + b^2 = 130
42 + b^2 = 130
b^2 = 130 - 49
b = √81 = 9
Then we can write:
7^2 + 9^2 = 130
Now for 325:
With the same reasoning than before, we want to find two integers such that:
a^2 + b^2 = 325
Then we start evaluating a by the smallest values:
a = 1
1^2 + b^2 = 325
b^2 = 325 - 1 = 324
b = √324 = 18
Then we can write 325 as:
1^2 + 18^2 = 325
Now to find the next pair we need to keep testing values for a, we will get for a = 6:
6^2 + b^2 = 325
36 + b^2 = 325
b^2 = 325 - 36 = 289
b = √289 = 17
Then we can write:
6^2 + 17^2 = 325.
What percent of 134 is 66? (To the nearest tenth of a percen t)
Answer: 49.25
Step-by-step explanation:
4.
2
Round off 14.9028 to the nearest
hundredths
Answer:
14.9000 is the answer
Step-by-step explanation:
round it
Answer:
can you be more clear
Step-by-step explanation:
BRAINLY TO WHOEVER HELPS
Determine which of the following could NOT represent the sides of a right triangle.
A) 3,4,5
B) 1,2,3
C) 5,12,13
D) 6,8,10
Answer:
A, C and D
Step-by-step explanation:
B is left out because the hypotenuse of 1 and 2 will be appx 2.24 but the rest are good to go
Explain how to find the slope of the line.
Step-by-step explanation:
[tex]slope = \frac{y2 - y1}{x2 - x1} \\ = \frac{1 - 3}{6 - 2} \\ = \frac{ - 2}{4} \\ = - \frac{1}{2} [/tex]
Even if x₁ = 6, y₁ = 1 and x₂ = 2, y₂ = 3 the result remains same.
#CMIIWA student scores 88, 73, 81, 75 , and 78 on the first five science tests of the year. What is the minimum score the student needs to get on the sixth test in order to have a test average of at least
Answer:
84
Step-by-step explanation:
A credit card company advertises an APR of 17.2%, compounded daily. What is the effective interest rate
Answer:
18.76%
Step-by-step explanation:
effective interest rate = ( 1 + periodic interest rate)^m - 1
m = number of compounding = 365
Periodic interest rate = APR / number of compounding = 17.2 / 365 = 0.0471% = 0.000471
(1 + 0.000471) ^365 - 1 = 18.76%
In a race , Ram covers 5 km in 20 min. How much distance will he cover in 100 min
Answer:
25 km
Step-by-step explanation:
100/20=5
5*5=25
Solve the simultaneous equations
y – x = 3
y = 7x
Answer:
x=1/2, y=3 1/2
Step-by-step explanation:
substitute y=7x into y-x=3
7x - x = 3
6x = 3
x=1/2
y=7(1/2)
y=3 1/2
Katie noticed that many of the students at her school ate fruit during lunch. She randomly chose 30 students and found that 18 of them ate fruit during lunch. If Katie sample is representative, which of the following is closest to the number of 1,560 students at her school who eat fruit at lunch?
Answer:
52 / 1,560
Step-by-step explanation:
18 / 30
? / 1,560
1,560 / 30 = 52
52 / 1,560
1.
Kenneth's garden is in the shape of a rectangle. The length is
20 feet and it has a perimeter of 70 feet, How long is the
diagonal of his garden.
Answer: I'm pretty sure it's 25
Step-by-step explanation:
Use Pythagorean theorem to find diagonal.
Mike is 6.2 feet tall and casts a shadow that is 10.7 feet long. At the same time, a tree casts a shadow that is 37.5 feet long. How tall is the tree to the nearest tenth of a foot?
Answer:
I think it's 38
plz help me pls
8 hr = _________ min
30 min = _________ s
15 hr = ___________ min
5 yr = ____________d
7 d = ____________ hr
24 hr = __________ min
600 s = __________ min
60,000 min = __________ hr
Answer:
8hr=480min
30min=1800sec
15hr=900min
5yr=1825d
Step-by-step explanation:
How can you determine the part of an hour that is 15 minutes?
Answer:
You'll need to convert the minutes part to hours. 15 minutes times 1 hour per 60 minutes will make the conversion to hours and minutes will cancel out. 0.25 hours times 60 minutes per 1 hour = 0.25 hr × (60 min/ 1hr) = (0.25 × 60) min = 15 minutes.
Step-by-step explanation:
Mhanifa can you help this is due soon!!
Answer:
Question 1Given pentagon
Sum of interior angles:
S = (5 - 2)*180° = 540°Sum of exterior angles is same for any polygon:
360°Question 2Given hexagon
Sum of interior angles:
S = (6 - 2)*180° = 720°Sum of interior angles of a given hexagon:
x + 120° + 156° + 145° + x + 9° + 90° = 720°2x + 520° = 720°2x = 200°x = 100°And pleaseee This too
Answer:
the correct option is 75
Step-by-step explanation:
The standard notation for how to write tables is in the next way.
[tex]\left[\begin{array}{ccc}inpt&outpt\\x_1&y_1\\x_2&x_2\end{array}\right][/tex]
Where the input values are represented in the x-axis (the horizontal one) and the output values are on the y-axis (the vertical one).
In this case, we want to find the number of (x-value) for the height of 250.
Then we need to look at the vertical axis and find the value y = 250.
Now let's move to the right until you meet with the point.
Once you reach the point, move down to the axis, the value at which you intersect the axis is the x-value.
We can see that the point is on the middle of the x-values:
x = 70 and x = 80
Then the x-value of the point is x = 75
This means that the correct option is 75
Urgent!!!!
Can someone please give me the correct answer to this question
The answers are in the picture.
I will mark you brainliest for the correct answer.
Please help!!
Answer:
2x=80°
x=40°
40°+20°=60°
Step-by-step explanation:
all triangles are 180°
Marco mixed 2 teaspoons of sugar and 1 teaspoon of milk into his coffee. What is the ratio of teaspoons of sugar
to teaspoons of milk?
Answer:
2 : 1
Step-by-step explanation:
teaspoons of sugar : teaspoons of milk
= 2 : 1
hope this helps :)
Suppose that y varies directly with x
and y=
= 10 when x = 20. What is y
when x = 15?
Be sure to simplify your answer.
Answer:
[tex]10 \times 2 = 20 \\ 5 \times 3 = 15[/tex]
answer:10×2=20
5×3=15
Answer:
y = 7.5
Step-by-step explanation:
Given y varies directly with x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = 10 when x = 20
10 = 20k ( divide both sides by 20 )
[tex]\frac{1}{2}[/tex] = k
y = [tex]\frac{1}{2}[/tex] x ← equation of variation
When x = 15 , then
y = [tex]\frac{1}{2}[/tex] × 15 = [tex]\frac{15}{2}[/tex] = 7.5
The solid shown below is made by combining two rectangular prisms. What is the total volume of the solid?
Answer:
The question has a picture attached of both rectangular prisms which I have attached and solved.
Answer: 1320 cm³
Step-by-step explanation:
top prism = 5×12×10=600
lower prism = 15×12×(15-10) = 720
Adding both volumes
720 + 600 = 1320 cm³
10.
Use the tangent ratio to find the size of the angle marked x, correct to the nearest degree.
i NEED HELP ASAP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! i NEED HELP ASAP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! i NEED HELP ASAP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! i NEED HELP ASAP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:7
Step-by-step explanation:
Answer:
I shall help
Step-by-step explanation:
11. The answer is 96 because 12 times 8 is 96
12. The answer is B.
13. The answer is also B because you need to count. BIG BRAIN
14 The answer is 8.
Next time please think a little harder
BRain;liest pls
I NEED HELP WITH THIS
Answer:
∠HGJ + ∠KJG = 180°
So, ∠KJG = 62°
PLEASE HELP FAST!!!!!!!!!
Answer:
132 degrees
Step-by-step explanation:
To solve this problem, you need to know a couple of rules
1) Inscribed angle theroem: when an angle is inscribed in a circle and touches the other end (as opposed to ending at the diameter of the circle), the measure of this angle is half of the measure of the arc.
2)Angles of a quadrilateral shape add up to 360 degrees.
3) The angles inside a circle and the angles of the circles arclength adds up to 360 degrees.
So first, solve angle S with inscribed angle theorem. 126/2 = 63
Then, use the rule that all arc angles in a circle add up to 360 degrees to find the arc angle from Q to S. 360-90-126 = 144. Now find angle P with inscribed angle theorem by doing 144/2 = 72.
Now, use the rule that all angles in a quadrilateral add up to 360 to find R. 360-93-72-63 = 132.
Let me know if this doesn't work, I'll look at it again.
Tell me which lines to which plz
Answer:
cereal bowl- 2 cups
baby food jar- 4 fluid ounces
soda can- 12 fluid ounces
swimming pool- 1000 gallons
large can of paint- 1 gallon
Are there any properties that hold for base - 10 logarithms that would not be valid for the logarithm base e ? Why ? Are there any properties that hold for base - 10 logarithms that would not be valid for some positive base b, such that b ≠ 1 ?
Answer:
.
nhuxu
Step-by-step explanation:
vxxgfx
SECTION A:
QUESTION 1
MULTIPLE CHOICE (10 MARKS)
1.1 The way we see, think and feel about ourselves it includes all knowledge we have
about ourselves.
Self esteem
Self-awareness
Self-confidence
Answer:
Self esteem hope this helps
Pleas help will give brainliest
Answer:
8 steps can be cut
Step-by-step explanation:
20 ÷ 2.5 = 8
How many WNBA athletes played in China in the 2018-
19 season?
A. 4
C.11
B.8
D. 20"
Answer:
C. 11
I hope it's right and helpful
Answer:
c 11
Step-by-step explanation:
c 20 hg ch gggggghubydyh
HELP PLEASE! THANKS :)
Answer:
If im not wrong, it has to be "How much does your dog weigh"
Step-by-step explanation:
x^(2)-4x-17=0
Please show work step by step
Step-by-step explanation:
It seems here that they are asking us to solve for x
to do this we first need to factor
Since we can't factor this using the normal method we can instead do this
x^2 -4x-17=0
add 4 to both sides as it is a perfect square
x^2 - 4x + 4 = 17 +4
(x-2)^2 = sqrt 21
x-2 = ± 4.58
x -2 = 4.58 x-2 = -4.58
x= 6.58 x=-2.58
Or just say x=2+√21 or x=2−√21