Answer:
9
Step-by-step explanation:
This question requires you to use the Pythagorean Theorem. If you're not sure what this is, I'll explain it to you.
The formula itself is: a²+b²=c²
A triangle is composed of two legs and one hypotenuse. The hypotenuse will always be the longest side.
Look at the picture I attached. Here, I helped you label the two legs and the hypotenuse! Now, what do a,b, and c represent in the equation? a will be the first leg, b will be the second leg, and c will be the hypotenuse.
--------------------------------------------------------------------------------------------------------------
So, the word problem already gives you two values: the length of the ladder (15') and the height of the wall (12'). If you're having trouble imagining it, look at the second picture I attached where I label the objects with the values they give you. Now we just have to find the missing side.
For the sake of consistency, we're going to call the missing side b. The wall will be a and the ladder will be c. (Go back to the first picture if you're confused.)
Now, we're finally at the part where we plug in our values! All you need to do is put your a and c value into the equation, then solve for b. So:
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12²+b²=15²
(Input 12² and 15² into a calculator unless you've memorized your squares)
Once we square 12 and 15 we get:
↓
144+b²=225
------
Now, the first thing we need to do is get b by itself on one side. So we'll subtract 144 from both sides.
------
↓
144+b²=225
-144 -144
↓
b²=225-144
↓
b²=81
------
Okay, so now we have to get rid of the square over the b. What's the opposite of squaring? (We do the opposite to cancel things on each side, like how we subtracted 144 from each side because it was positive.) That would be finding the square root. So if we do the square root of b, we must do the same thing to the other side:
↓
√b²=√81
(Type √81 into a calculator unless you've memorized it.)
↓
b=9
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Aaaand... wah-la! We've now found the value of b, or how far from the base of the house we need to be to place a 15' ladder to exactly reach the top of a 12' wall.
I hope you were able to understand my explanation. Please comment if you have any further questions; I will be glad to answer them!
I'm crying for help!!!!!!!!!
Answer and Step-by-step explanation:
The radius is half of the diameter.
Radius
7ft.
Diameter
14ft.
Circumference
Formula: [tex]C = 2\pi r[/tex]
Plug 7 in for r.
C = [tex]14\pi[/tex]
[tex]14\pi ft^2.[/tex] or 43.9823 [tex]ft^2[/tex]
#teamtrees #PAW (Plant And Water)
Answer:
radius=7, diameter=14 circumference=43.9823
Step-by-step explanation:
radius is 1/2 of diameter diameter is stated 14 and circumefernce is found by dπ
Create an equivalent expression that includes a set of parentheses that make the value of the expression 5. Remember, you can have two or more numbers within the set of parentheses.
32 divided by 10 - 8 divided by 2 - 3
Can someone help me with Geometry Triangle?
Answer:
4
Step-by-step explanation:
A = BH
Area = Base x height
4 x 4 = 16
Base =4
Height = X
16 ➗ 4 = X
16 ➗ B = X/H
16 ➗ 4 = 4
Therefore the answer is 4
Sorry about the other guy I hope this pays up <3
The net below is of a triangular prism. What is the surface area of the prism? 6 m 10 m A 288 m2 C 318 m? B 300 m2 D476 m2
Pls help i'll mark brainliest and don't answer if you don't know ( ˘ ³˘)♥ thank you.
Please help, quickly if possible
Answer:
the first one because it has more flowers
Step-by-step explanation:
Answer: B. 2/3
Step-by-step explanation:
4 x 3: 12
4 x 2: 8
PLEASE HELP, ILL GIVE BRAIBLIEST!
Answer:
Hospitals
Step-by-step explanation:
Sales taxes are generally used for retail purposes and hospitals do not fall into this category. Sorry if it is wrong.
What is the difference between mean and median
The difference between the mean and median is that the mean is the average number. f.e: 1, 2, 2, 2, 3, 3, 4, 5 - and if you add all those up, the mean would be 3, or 2.
But the median is the number in the middle Number.
What if you have 2 medians, though?
Well, that’s easy to solve IMO.
F.e: 22, 22, 23, 23, 23, 24, 24, 24, 25, 25
The median is either 23 or 24, right?
Okay. That’s simple. But what exactly do we do?
Let me show you:
So get the sum of 23 and 24, which is 47.
Now divide 47 by 2. And what do we get?
23.5.
Now round that, and you get 24. So 24 is the median!
Hope that helps!
Answer:
mean is the AVERAGE of all numbers
Step-by-step explanation:
because when you add up all the numbers then you divide it by the TOTAL NUMBER of NUMBERS!
and a median is the middle number in a sorted, ascending or descending, list of numbers and can be more descriptive of that data set than the average.
hope this helps
Given the net, what is the surface area of the rectangular prism below?
3in
2in
3in
2in
4in
2in
24 in 2
60 in 2
52 in 2
40 in 2
Answer:
it should be 52
Step-by-step explanation:
A triangular prism. The rectangular sides are 2 centimeters by 13 centimeters, 12 centimeters by 2 centimeters, and 5 centimeters by 2 centimeters. The 2 triangular sides have a base of 5 centimeters and height of 12 centimeters. Which equation could be used to find the surface area of the net of the triangular prism shown? SA = (1/2)(5)(12) + (5)(2) + (12)(2) + (13)(2) SA = (1/2) (5)(13) + (1/2) (5)(13) + (5)(2) + (13)(2) + (12)(2) SA = (1/2)(5)(12) + (1/2)(5)(12) + (5)(2) + (12)(2) + (13)(2) SA = (2)(5)(13) + (5)(2) + (13)(2) + (12)(2)
Answer:
C
Step-by-step explanation:
r∕5 - 15 = 18
help me pls
Answer: r= 165
5−15+15=18+15
Delia is trying to show her brother a new magic trick with a deck of cards. If she asks her brother to draw a card from the deck. What is the probability that he will draw an joker?
A. 1/52
B. 1/50
C. 1/27
D. 1/2
Answer:
C
Step-by-step explanation:
There are 54 cards in a deck with jokers. Two are jokers.
2/54=1/27
*Urgent* im not sure look at the picture
Answer:
43.4 mph
Step-by-step explanation:
super simple, you can disregard all the speed stuff, since they are both hours, it is useless information. all you have to do is convert distances, so multiply 70 by .62 to get 43.4milers per hour.
if you have any questions, leave them in the comments, i will try to answer them, pls give brainliest if this helps.
When baking a cake, you have a choice of the following pans:
(1)a round cake pan that is 2 inches deep and has a 7-inch diameter
(2)a 6-inch × 9-inch rectangular cake pan that is 2 inches deep
Which of these pans has the larger volume? Justify your answer. Write an essay. I'll give the brainliest.
Answer:
2 has the larger volume because it's wider than pan 1
Step-by-step explanation:
can someone help? please explain how to do it and get it right (i will give brainliest to best answer)
PLEASE HELP I DONT UNDERSTAND AND MY HEAD IS HURTING I WILL GIVE YOU BRAINLIEST!!!! (LIKE LITERALLY MY HEAD HURTS) i will give 20 pts
John has a bag of red and blue marbles. John chooses 2 marbles without replacing the first. Let A be the event where the first marble chosen
is red. Let B be the event where the second marble chosen is blue.
The conditional probability of an event depends on the occurrence of another event. The correct option is C.
What is Bayes' Theorem?The conditional probability of an event depending on the occurrence of another event is equal to the likelihood of the second event given the first event multiplied by the probability of the first event, according to Bayes' Theorem.
Suppose that there are two events A and B. Then suppose the conditional probability is:
P(A|B) = probability of occurrence of A given B has already occurred.
P(B|A) = probability of occurrence of B given A has already occurred.
Then, according to Bayes' theorem, we have:
[tex]\rm P(A|B) = \dfrac{P(B|A)P(A)}{P(B)}[/tex]
(assuming the P(B) is not 0)
Given John has a bag of red and blue marbles. John chooses 2 marbles without replacing the first. Let A be the event where the first marble chosen
is red. Let B be the event where the second marble chosen is blue. Therefore, the Probability P(B|A)=0.6 is described as the probability of choosing a blue marble after a red marble has been removed is 0.6.
Hence, the correct option is C.
Learn more about Bayes' Theorem:
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????? so confused please help
I will give brainliest, help pls! AND EXPLAIN
You have 15 yards of ribbon for your gift boxes. Each box gets the same amount of ribbon. How much ribbon will each of your 20 gift boxes get?
Answer:
3/4 of a yard or 0.75 of a yard for each gift box.
Step-by-step explanation:
15 yards of ribbons
20 gift boxes
20/15 = 0.75
0.75 would be split evenly for all 20.
Answer:
2.25 feet
Explanation:
You would get 0.75 yards because 20 boxes divided by 15 yards is 0.75 yards
After adding an 8-pound box with 6 identical boxes, the box weighted 72 pounds. The equation is 6x + 8 = 72. What does X equal?
Answer: x = 10.6666666 or 10 2/3
Step-by-step explanation:
6x + 8 = 72
- 8 -8
6x = 64
6x/6 = 64/6
x = 10.6666666 aka 10 2/3
Keisha rolls two 6-sided number cubes. What is the probability that she will roll a number less than 7? (Leave your answer as a simplified fraction)
Answer:
Keisha will always roll 6 since both sides are 6 sided or 6/6.
Tell me if Im wrong, I will correct it ASAP.
A roller skating team has 6 members. each member has 2 skates. each skate has 4 wheels. what is the total number of skate wheels that the team has?
Answer:
48
Step-by-step explanation:
6 mems has 2 skates so first of all
12 skates in total
4 wheels per skate so
12 x 4= 48
48 wheels
A fruit salad recipe calls for 10 cups of berries and 6 cups of peaches. What is the ratio of peaches to berries, in simplest form?
6:10
10:6
3:5
5:3
What is the average rate of change of the function f(x) = x^2 on the interval from x=2 to x=4?
a. 12
b. 10
c. 6
d. 2
At one store, a DVD is on sale for 25% off regular price of $26.99. At another store, the same DVD is on sale for 30% off regular price of $29.99. Why should you buy the DVD at the first store?
a. 30% is more than 25%
b. $26.99 is less than $29.99
c. 75% of $26.99 is less than 70% of $29.99
What is the internal angle sum of a quadrilateral? (Hint: A quadirlateral has 4 sides.) OA) 90 OB) 180 OC) 360 OD 540
A.) 90°
B.) 180°
C.) 360°
D.) 540°
The internal angle sum of a quadrilateral is :
C. 360°
The sum of internal angles of a polygon is determined by a formula :
[tex] \longmapsto (n - 2) × 180° [/tex]
where n represents number of sides.
In a quadrilateral there are four sides,
So, plugging 4 in the formula :
[tex](4 - 2) \times 180°[/tex][tex]2 \times 180°[/tex][tex]360°[/tex]_____________________________
[tex]\mathrm{ \#TeeNForeveR}[/tex]
Answer:
C. 360
Step-by-step explanation:
Lines v and t are parallel, and are cut by transversals m and h. What is the degree measure of angle y? I need an answer fast.
y = _____ degrees
Answer:
y = 123 degree
Step-by-step explanation:
180 - 57-60 = 63
The lines v and t are parallel that v shows us 180-60-57 = 63
The lines t shows us 63 + 60 = 123 degree
The angles can also be solved just 180-57 = 123 but wouldn't prove the comparison of v and t and how mv angle is larger than mh..
Tannis's first machine could throw a car 27 meters. She studied her first machine and built a better one. Her second machine could throw a car 7 times as far.
How far does the second machine throw a car?
Answer:
Hello! Your answer would be 189 meters.
Step-by-step explanation:
First, let's examine the problem closely. It says that Tannis's first machine could throw a car 27 meters, but then she studied her first machine and built another one. So far we have one part of the problem that will get us to our solution, 27 meters. The next part is where we get our last two parts of our problem, the operation and the other factor. The second part of this problem says that Tannis's second machine could throw a car 7 times as far, meaning her second machine could throw a car 7 times farther then her first machine. We are given our operation, multiplication, first, and our second factor, 7, last. Then, we must look closely at the main question we are trying to answer: How far does the second machine throw a car? We can form and evaluate an expression to answer this question. With the information we've gathered, we can form the expression: 27 meters x 7, and that equals 189 meters. I hope this helps and make sure you have an amazing day!
The distance travelled by the second machine is 189 meters.
What is mathematical operations?
The mathematical “operation” refers to calculating a value using operands and a math operator.
What will be the distance travelled by second machine?According to question, Tannis's initial machine could toss a car 27 meters, but after studying it, she constructed a new one.
We currently just have the 27 meters portion of the problem, which will lead us to the answer.
The second portion of the equation states that Tannis's second machine could toss a car seven times farther than her first machine, or seven times as far.
Our operation, multiplication, comes first, followed by our second factor, 7, in that order. With the knowledge we have acquired, we may formulate the formula: 27 meters times 7 = 189 meters.
Therefore, the correct answer is 189 meters.
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Nancy is going to pick a marble out of a bag without looking. There are three different colors- blue, red, and purple. The probability of choosing a blue marble is .25, and the probability of picking a red marble is ⅔ . What is the probability of Nancy picking a purple marble?
A. 1/12
B. 1/6
C. 1/3
D. 2/3
Probability is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
The probability of Nancy picking a purple marble is 1/12
Option A is the correct answer.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
We have,
There are three different colors- blue, red, and purple.
The probability of choosing a blue marble is 0.25
The probability of picking a red marble is 2/3
The total probability of always 1.
The probability of Nancy picking a purple marble.
= 1 - (0.25 + 2/3)
= 1 - (1/4 + 2/3)
= 1 - (3 + 8)/12
= 1 - 11/12
= 1/12
Thus,
The probability of Nancy picking a purple marble is 1/12
Option A is the correct answer.
Learn more about probability here:
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Determine which of the following sets of ordered pairs represents a function.
A. {(12,−9), (12,4), (12,3), (12,−1)}
B. {(4,−9), (10,12), (4,3), (10,−1)}
C. {(−16,−9), (10,4), (7,3), (−16,−1)}
D. {(−16,−9), (10,−9), (4,−9), (7,−9)}
Answer:
D
Step-by-step explanation:
A. One-to-many relation is NOT a function
B. One-to-many relation is NOT a function
C. One-to-many relation is NOT a function
D. Many-to-one relation ia a function
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