Answers
Answer:
1) 12 (option b)
2) 41, 9, 40 (option a)
Step-by-step explanation:
Pythagorean Theorem: a² + b² = c²
1) Let the unknown leg be x cm long. Thus,
5² + x² = 13²
Simplify and solve.
25 + x² = 169
x² = 144
x = 12
2) Apply the Pythagorean Theorem.
9² + 40² = 41² = 81 + 1600 = 1681
1681 = 1681
a is true.
Just in case, let's check the other options.
5² + 8² = 9² = 25 + 64 = 81
89 = 81, false
b is false
10² + 11² = 12² = 100 + 121 = 144
221 = 144, false
c is false
3² + 4² = 6² = 9 + 16 = 36
25 = 36, false
d is false
Thus, a is the answer.
Related Questions
PWEASE HELP ILL GIVE BRAINLIEST
Rhona decided to buy a larger 1 1/4 pound package of baking flour rather than a 5/8 pound package. How much heavier is a larger package than a smaller one?
Answers
Answer:It is 5/8 of a pound heavier
Step-by-step explanation:
1 1/4 - 5/8=5/8
Answer:
The larger package is twice as heavy
Step-by-step explanation:
first make 1 1/4 into 5/4 and then multiply the top and the bottom by 2 to get a common denominator of 8. you will end up with 10/8. you can then subtract 5/8 from 10/8, leaving you with 5/8.
Write an algebraic expression for the following:
5 less than twice a number
Answers
5 less would be -5
twice a number would be *2
so the expression would be
2x - 5
Answer:
2x - 5
Step-by-step explanation:
let assume the number is x:
Therefore 2x - 5
Rewrite the equation of the line in slope intercept form.
4x−8y=32
Answers
Answer:
y=1/2x-4
Step-by-step explanation:
subtract 4x from the left side and the right side. It becomes:
-8y=-4x+32
divide -8 from both sides and it becomes:
y=1/2x-4
What is the domain of the function Y = tan(x/8)?
Oall real numbers except 4pi+4npi where n is any integer
Oall real numbers except 4pi+8npi where n any integer
Oall real numbers except 8pi+4npi, where n is any integer
Oall real numbers except 8pi+8npi, where n is any integer
Answers
Answer:
B) all real numbers expect 4pi+8pi where n is any integer
Step-by-step explanation:
The domain of the function y = tan(x/8) is given by: All real numbers except 4π+8nπ , where n is any integer.
What is the domain of a function?The domain is the set that contains all possible input values for the function.
Since we know that Tangent of an angle is sine of the angle divided by the cosine of the angle, and the cosine is 0 at:
π/2 + nπ
Hence, let a composite tangent function , the domain is given by:
f(x) does not equal to π/2 + nπ
we have that , hence the domain is:
all real numbers except 4π+8nπ
All real numbers except 4π+8nπ, where n is any integer.
More can be learned about the domain of a function at brainly.com/question/27730656
#SPJ7
can somone help plz i need help
Answers
Answer:
about 7.3 units
Step-by-step explanation:
to find the answer you do Pythagorean theorem
so you have (-9, -4) and (-2, -6)
you do X1-X2 and Y1-Y2
so -4-(6)=2
and -9-(-2)= -7
now you do a^2 + b^2 = C^2
so 2^2 + -7^2 = C^2
which is 4 + 49= C^2
53=C^2
√53=7.3
so 7.3 units :)
Consider the drawing below. What is the measure of angle A?* 1 point w
Answers
Answer:
[tex]x + 2x = 120 \\ 3x = 120 \\ x = 40 \\ a = 2x = 80[/tex]
please help lol, im a baka-_-
Answers
Answer:
4
Step-by-step explanation:
3(x+6) = 30
(x+6) = 30/3
x = 10 - 6
x = 4
Answer:
Baka T_T
3x+18=30
3x=12
x=4
Step-by-step explanation:
20 POINTS BRAINLIEST FOR CORRECT ANSWER !! PLEASE HELP
Describe the similarities and differences between the graphs of the functions in items 8 and 9. How are these similarities and differences indicated by the functions themselves?
Item 8: y=x^2-3x-4
Item 9: y=-x^2+3x+4
Answers
Answer:
Step-by-step explanation:
similarities:
both items (equations) have the same roots: (-1,0) and (4,0),
both items are in quadratic form
both have a relative min/max at x=1.5
differences:
both have different y-intercepts:
item 8: (0,-4)
item 9: (0,4)
please answer my Questions I have Summative Assessment math
Answers
Answer:
a. Yes
b. 3x+7
c. 105 cm
Step-by-step explanation:
a. a(1)+b=10
a(2)+b=13
when you solve this by elimination or simultaneously: a=3 and b=7
∴ f(x)=3x+7
b. f(x)=3x+7
c. 3(35)+7=112 cm
for brainiest:):):):):):):):)
Answers
Answer:
(a) 0.6
(b) 0.4
Step-by-step explanation:
If I am reading the little table right, You have made 9 shots, and have missed 6 of them. Therefore, in total, you have made [tex]9+6=15[/tex] shots.
The definition of probability is the number of events of a desired outcome divided by the total number of outcomes. Since you wish to make a shot for part a, the number of desired outcomes thus far is 9, out of 15 total shots. Thus,
[tex]P([/tex]making a shot[tex])=\frac{9}{15}=\frac{3}{5}=0.6[/tex]
Since making a shot and not making a shot are mutually exclusive events, and the only two events that could occur when shooting a basket, the probability of not making a shot and the probability of making a shot are all of the possible outcomes, and is thus equal to 1.
[tex]P([/tex]making a shot[tex])+P([/tex]missing a shot) [tex]=1[/tex]
[tex]P([/tex]missing a shot[tex])=1-P([/tex]making a shot[tex])[/tex]
[tex]P([/tex]missing a shot[tex])=1-0.6=0.4[/tex]
QED
Kevin Hill deposited 15,483 pennies. He put 50 pennies in each penny roll. How many full rolls did he have?
Answers
Answer:
309 full rolls
Step-by-step explanation:
Find how many full rolls he had by dividing 15,483 by 50:
15,483/50
= 309.66
Since the question asks for full rolls, the answer has to be a full number.
So, the answer is 309 full rolls
What is the product of (0.061) • (0.43)?
Answers
Answer:
Step-by-step explanation:
(0.061)(0.43) =0.02623
Blake has 864 square inches of material with which to create a hollow three-dimensional container. He decides to make either a cube or a sphere.
Which solid would have the greater volume? What is the greatest volume he can achieve with this amount of material?
Answers
Answer:
I think it's a cube, because the cube has bigger spaces because of the edges, but I don't know how much...
the 6% state income tax on a 42.000 salary help
Answers
Answer:
$2520
Step-by-step explanation:
would it be 42$ or 42000$? if its 42000$ it would be $2520
42000/100*6
I need help fast please
Answers
Answer:
336
Step-by-step explanation:
hope this helps sorry if not correct
PLEASE HELPPPPP :)!!!
Answers
Answer:
answer: 521
Hope that helps!
PLEASE HELP ME I NEED TO PASSS
Which statements about the graph of the exponential function f(x) are TRUE? Select all that apply.
The asymptote is y = - 1
f(x) is positive for all x-values less than 1.
The y-intercept is 3
The domain is all real numbers
As x increases , f(x) approaches , but never reaches, -1
The x-intercept is 2.
The range is all real numbers
graph is in the picture
Answers
Answer:
Step-by-step explanation:
When x =3 y=-1
X =2 y =0
X=0 y =3
X = -1 y=6
So c g d f true
Answer:
F
Step-by-step explanation:
Find the measure of angle 3
A. 45°
B. 90°
C. 30°
D. 12°
Answers
Plz help me.... swith ybsubs ys
Answers
Answer: Ummm?
Step-by-step explanation:
Answer:
Option C
(-4,-3)
Sonya and Jade are traveling from Barcelona to Madrid. They are deciding between 333 different types of transportation (bus, train, and plane) and 222 different times (morning and evening). They each created a display to represent the sample space of randomly picking a type of transportation and a time. Whose display correctly represents the sample space? Choose 1 answer: Choose 1 answer: (Choice A) A Sonya only (Choice B) B Jade only (Choice C) C Both (Choice D) D Neither Sonya's display: \quad Jade's display: \text{B}= \text{Bus} \\ \text{T}= \text{Train} \\ \text{P}= \text{Plane}B=Bus T=Train P=Plane \text{M}= \text{Morning} \\ \text{E}= \text{Evening}M=Morning E=Evening \quad
Answers
Answer:
Step-by-step explanation:
The answer is (Sonya only) don’t know the explanation but I literally got the answer right soo trust me.
Find the values of x, y, and z
Answers
The circumference of a compact disc is 28.26 cm. What would the radius of the disc be?
Answers
Answer:
88.7364
Step-by-step explanation:
3.14 TIMES 28.26
3. In a class of 50, the # of people with brown hair is 2 more than 5 times the number of people with red hair. How many
brown/red-haired people are there in the class? (Everyone in the class has either brown or red hair)
Answers
Answer:
8 red haired and 42 brown haired
Step-by-step explanation:
I chose a random number to start off with (which is 8) and I multiplied it by 5.
8•5=40 and then you have to add 2, so you get 42.
42+8 = 50
The equation would be (5x+2)+x where 'x' is the number of people with red hair.
F is inversely proportional to d^2.
When F = 5, d = 9
Work out d (positive value rounded to 2 DP) when F = 3
Answers
Answer:
11.6
Step-by-step explanation:
F = k/ d^2
where k = proportionality constant
k = Fd^2
k = 5 * 9^2
k = 5*81 = 405
d = (K/F)^1/2
d = (405/3)^1/2
d = 11.62 =11.6
Answer:
11.62
Step-by-step explanation:
F is inversely proportional to d^2, so
[tex]F=\frac{k}{d^2}[/tex]
for some constant k. To find k plug in given values for F and d.
[tex]5=\frac{k}{9^2}\\5=\frac{k}{81}\\k=405[/tex]
Now you can find d for F = 3.
[tex]3=\frac{405}{d^2}\\\\3d^2=405\\\\d^2=135\\d=\sqrt{135}\approx 11.62[/tex]
Mark estimated that he would spend $300 of his paycheck on seven items that cost $50 each. Why is this not reasonable?
A. It is not reasonable because seven items could not all cost $50.
B. It is not reasonable because seven items at $50 each, would cost a total of $350.
C. It is not reasonable because seven items at $50 each would only cost $420.
D. It is not reasonable because he would have too much money left over.
Answers
liner equations please help with answer!
Answers
Answer:
n = - [tex]\frac{4}{7}[/tex]
Step-by-step explanation:
Given
[tex]\frac{2}{3}[/tex] (1 + n) = - [tex]\frac{1}{2}[/tex] n
Multiply both sides by 6 ( the LCM of 3 and 2 ) to clear the fractions
4(1 + n) = - 3n ← distribute left side
4 + 4n = - 3n ( add 3n to both sides )
4 + 7n = 0 ( subtract 4 from both sides )
7n = - 4 ( divide both sides by 7 )
n = - [tex]\frac{4}{7}[/tex]
pls help 100 points
pls show step by step explanation and if possible handwritten work
thank you
and you need to factorise
Answers
Answer:
This is a required answer:look it once.
Two forces, one of 45 pounds and the other 50 pounds, act on the same object. The angle between the forces is 33°. Find the magnitude of the resultant vector. Pls help :( cant afford to fail
Answers
Answer:
The magnitude of the resultant force is: 27.40 pounds
Step-by-step explanation:
Given
[tex]F_1 = 45[/tex]
[tex]F_2 = 50[/tex]
[tex]\theta = 33[/tex]
Required
The magnitude of the resultant vector
To do this, we apply cosine formula
[tex]R^2 = F_1^2 + F_2^2 - 2 * F_1 * F_2 * \cos(\theta)[/tex]
This gives:
[tex]R^2 = 45^2 + 50^2 - 2 * 45 * 50 * \cos(33)[/tex]
[tex]R^2 = 2025+ 2500 - 4500* 0.8387[/tex]
[tex]R^2 = 2025+ 2500 - 3774.15[/tex]
[tex]R^2 = 750.85[/tex]
Take square roots of both sides
[tex]R = \sqrt{750.85\\[/tex]
[tex]R = 27.40[/tex]
Please help! i only have 4 more hours to get caught up!!
Answers
Answer:
I thinks it's y=3x+5
Step-by-step explanation:
try to use desmos to calculate it
What is the y intercept for the equation –2x + 5 = –10?
a.) (0, 5)
b.) (0, –2)
c.) (0, 2)
d.) (0, –5)