In a right-angled triangle, the Pythagoras theorem is used to find the hypotenuse. Then the hypotenuse is 32.2 inches.
What is a right-angle triangle?It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.
Given
A right triangle has legs measuring 16 inches And 28 inches.
We know the Pythagoras theorem
[tex]\rm Hypotenuse ^2 = Base ^2 + Perpendicular^2[/tex]
Then the hypotenuse will be.
[tex]\rm Hypotenuse ^2 = Base ^2 + Perpendicular^2\\\\\rm Hypotenuse ^2 = 16^2 + 28^2\\\\ \rm Hypotenuse ^2 = 256 + 784\\\\\rm Hypotenuse ^2 = 1040\\\\\rm Hypotenuse \ = 32.2[/tex]
Thus, the hypotenuse is 32.2 inches.
More about the right-angle triangle link is given below.
https://brainly.com/question/3770177
For every quarter spent, Reggie receives 50 food pebbles to feed the fish at a hatchery. Reggie has thrown 350 food pebbles into the fish pools. Find the number of quarters Reggie spent at the hatchery. (Please use a label with this solution) *
Answer:
Reggie has spent
Step-by-step explanation:
7 quarters
Answer:
7 quarters
Step-by-step explanation:
We know that for every quarter, Reggie would receive 50 food pebbles, we also know that he has thrown 350 food pebbles into fish pools. So let's create an equation, q is for the quarters.
50(q) = 350
Since every quarter gives Reggie 50 food pebbles, then the q variable will go next to 50, and since we need to reach the total amount of 350, we put it on the opposite side.
Solve for q by isolating it, divide 50 from both sides:
[tex]\frac{50q}{50} =\frac{350}{50}[/tex]
[tex]q = 7[/tex]
Therefore, Reggie used 7 quarters for 350 food pebbles.
The base of a rectangle is 1 cm less than twice its height. The area is 45 cm2, find the dimensions of the rectangle.
Answer:
5
Step-by-step explanation:
45=(2x-1)(x)
45=(2(5)-1)(5)
45=(10-1)(5)
45=(9)(5)
45=45
Becky received a statement on her Certificate of Deposit showing that her investment had returned $6,336 over its life. If the Certificate of Deposit pays a simple interest rate of 4.4% and her initial investment was $16,000, how long had the money been invested?
The amount of money returned as interest depends on the initial
amount, the interest rate and the number of years.
Response:
The money has been invested for 9 yearsWhat is simple interest and how can the duration of investment be found?Given:
The return on investment = $6,336
Amount the Certificate of Deposit pays = 4.4% simple interest
The initial investment (the principal), P= $16,000
Required:
The duration the initial amount of money had been invested.
Solution:
Interest = Principal × Rate × Time
Which gives;
[tex]Time = \mathbf{ \dfrac{Interest }{ Principal \times Rate}}[/tex]
Therefore;
[tex]Length \ of \ time \ of \ the \ investment = \mathbf{ \dfrac{\$6,336}{\$16,000 \times 0.044(/year)}} = 9[/tex]
The duration the money had been invested = 9 yearsLearn more about simple interest here:
https://brainly.com/question/22943790
Answer: 9 years
Hope this helps.
Working together, Jacob and Heather can sweep a
porch in 5.45 minutes. Had she done it alone it would
have taken Heather 12 minutes. Find how long it would
take Jacob to do it alone.
3/6x - 7 = 2/6x - 4
Pls help!!this is due tomorrow
PLS PLS ANSWER WITH WHOLE SOLVING EXPLANATION LIKE INCLUDE STEPS YOU DID
[tex]\\ \tt\longrightarrow \dfrac{3}{6}x-7=\dfrac{2}{6}x-4[/tex]
Take x to left[tex]\\ \tt\longrightarrow \dfrac{3}{6}x-\dfrac{2}{6}x=-4+7[/tex]
[tex]\\ \tt\longrightarrow \dfrac{1}{6}x=3[/tex]
[tex]\\ \tt\longrightarrow x=6(3)[/tex]
[tex]\\ \tt\longrightarrow x=18[/tex]
GIven m is parallel to n, find the value of x and y
Please help I will give brainliest.
Answer:
C
Step-by-step explanation:
1 + 0.02 is the 2% growth of the collection every month, to the power of 12 means the 12 months, and to the power of 2 mean 2 years.
Glenda and Fiero are at a restaurant eating meal that costs $30. They have a discount coupon that gets them 10% off the cost. If they pay the waiter a tip of 8% of their bill, how much are they spending on dinner including tip? (I ALREADY KNOW THE ANSWER. BUT I NEED THE WORK FOR THE ANSWER TO SHOW MY TEACHER) (the answer is $29.16))
The cost of meal = [tex]$30[/tex]
The tip to the waiter = [tex]8%[/tex]%
Discount = [tex]10%[/tex]%
Cost = [tex]30 + 0.08 * 30 - 0.1 * 30[/tex]
Cost = [tex]30(1 + 0.08 - 0.1)[/tex]
Cost = $[tex]$29.4[/tex]0
Solve the inequality. Graph and check your solutions.
-14>y-4
y_ _
Answer:
-14>y-4
so -14+4>y-4+4
and -10>y
2. Ah Seng was asked to deliver 64 bowls of bean curd. For each bowl of bean curd he delivered, he was paid $0.20. However, he would have to pay 5¢ for every bowl of bean curd he spilled. At the end of the day, he earned $11.80. How many bowls of bean curd did Ah Seng spill?
Step-by-step explanation:
0.20×64=12.80
12.80-11.80= 1 dollar of bowls spilled so 100÷5=20
20 bowls are spilled
The wholesale price for a bookcase is $115. A certain furniture store marks up the wholesale price by 39% . Find the price of the bookcase in the furniture store.
Round your answer to the nearest cent, as necessary.
Answer:
$159.85
Step-by-step explanation:
2/3 x 5 Show your work.
Answer:
[tex]\frac{10}{3}[/tex]
Step-by-step explanation:
5 can be written as [tex]\frac{5}{1}[/tex].
Now, we multiply across the numerator and across the denominator.
[tex]\frac{2}{3}*\frac{5}{1}[/tex]
2 * 5 = 10
3 * 1 = 3
[tex]\frac{10}{3}[/tex]
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.
- Heather
please the qeustion is in the screenshot
Answer:
If I am correct both figures are similar because of AA (angle reasoning). They have the same angles meaning they are similar triangles even if they don't fit the SSS, SAS, etc. reasoning
Step-by-step explanation:
You could also do the cross multiply divide method to determine if they equal the corresponding length (which they do!) hope this helps! :)
edit: Question 4) is similar following the AA statement for triangles
Question 5 is not similar because it doesn;t match doing the cross multiply divide and has two right angles because they are
rectangles!
Question 1) Corresponding angles are related in two similar figures because they are the same. In triangles two figures similarity can be determined by identifying if they share two angles.
Question 2) Corresponding side lengths can determine the similarity by proving that the shape was only transformed by a scale factor and did not alter shape.
Question 3) No, not neccesarily. If they are the same size, length, and shape they are congruent. Similar figures are altered and different based on a scale factor
Function? Explain why or why not.
Answer/Step-by-step explanation:
If the vertical line touches the graph at more than one point, then the graph is not a function.Use the vertical line test to determine whether or not a graph represents a function. If a vertical line is moved across the graph and, at any time, touches the graph at only one point, then the graph is a function.
[RevyBreeze]
Yes it's a function
As per the defination of function.
If every domain of the relationship has an unique range that's a function
f(x)=ySo
Here
f(0)=0And rest also have unique range
So it's a function
Please help me understand and explain it to me please.
Recursive Sequence Function
A recursive sequence is a sequence of numbers whose values are determined by the numbers that come before them in the sequence.
We’re given a sequence whose (n + 1)-th term f(n + 1) depends on the value of the n-th term f(n), specified by the recursive rule
f(n + 1) = -4 f(n) + 3
We’re also given the 1st term in the sequence, f(1) = 1. Using this value and the recursive rule, we can find the next term f(2). (Just replace n with 1.)
f(1 + 1) = -4 f(1) + 3
f(2) = -4 • 1 + 3
f(2) = -1
We do the same thing to find the next term f(3) :
f(2 + 1) = -4 f(2) + 3
f(3) = -4 • (-1) + 3
f(3) = 7
One more time to find the next term f(4) :
f(3 + 1) = -4 f(3) + 3
f(4) = -4 • 7 + 3
f(4) = -25
A point on a pre-image is currently located at (1, -3). The pre-image is translated 3 units right and 6 units up. What are the NEW coordinates for the point after the translation? Use graph paper to sketch the translation if needed. Question 3 options:
A. (3, 4)
B. (4, 3)
C. (7, 0)
D. (-2, 2)
Answer:
are you from k-12? bc if so im also stuck on this question
Step-by-step explanation:
Answer:(4,3)
Step-by-step explanation: 6+-3=3 and 1 to the right 3 times is 4
I'm giving 40 points for this!! Pleaseeee help ASAP :)
Answer:
7 mStep-by-step explanation:
Let the width is w and the length is w + 5.
The area is 84:
w(w + 5) = 84w² + 5w - 84 = 0w² + 12w - 7 w - 84 = 0w(w + 12) - 7(w + 12) = 0(w - 7)(w + 12) = 0w = 7 is the only positive root6. The value of a car depreciates by 22.5% per year. After how many years is
the value of the car first less than 40% of its original value
[tex]\qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{current amount}\dotfill &\stackrel{40\%~of~P}{0.4P~~~~}\\ P=\textit{initial amount}\dotfill &P\\ r=rate\to 22.5\%\to \frac{22.5}{100}\dotfill &0.225\\ t=\textit{elapsed time}\\ \end{cases} \\\\\\ 0.4P=P(1-0.225)^t\implies \cfrac{0.4P}{P}=(1-0.225)^t\implies 0.4=0.775^t[/tex]
[tex]\log(0.4)=\log(0.775^t)\implies \log(0.4)=t\log(0.775) \\\\\\ \cfrac{\log(0.4)}{\log(0.775)}=t\implies \stackrel{\textit{about 3years, 215days and 8hrs}}{3.59\approx t}[/tex]
so at that time the value is 40% of its original value, I guess is less than that a minute or an hour later.
Find x pleaseeeeeeeeee
Answer:
20
Step-by-step explanation:
One angle of a nonagon has an angle of 140 degrees, so
7x = 140.
Divide 140 by 7 to find the value of x.
140 ÷ 7 = 20
Rewrite the expression below by completing the square.
Answer:
correct me if I'm wrong......
Seven boys hire DVD's and each pays R5,50. If 4 friends join in, how much will they each pay then?
Seven boys hire DVD's and each pays R5,50
I assume R 5.50 ( R to be the currency)
also assuming that they dont hire any more DVDs
total amount paid by 7 boys
= 5.50 × 7
= 38.5
when 4 more friends join the amount should get divided by 11 ( 7 + 4 )
so each has to pay an amount of 38.5 / 11 = 3.5
I think my assumptions here were correct
if not
let me know :)
Hurryyyy please u don’t have time I will give brainlist
This table shows the results of rolling a number cube with sides
labeled 1 through 6 several times.
Outcome
Number of times outcome occurred
1
10
What is the experimental probability of rolling a 2 or a 4?
2
6
Enter your answer as a fraction in simplest form in the box.
3
4
4
8
5
Basic
6
6
6
7
8
8
9
-
y
10
✓
.
4
1
5
6
х
Х
x
1
2.
3
<
>
+
$
0
+
+
%
0
.
:
A
&
=
=
TO
TT
Answer:
12. 5
11.
10
10
15. 7
14. 11
2
=
16
16
18. 3
+
11
17
3
4
co
loo
8
Step-by-step explanation:
12. 5
11.
10
10
15. 7
14. 11
Question 2 of 5
Which expression is equivalent to 4(x + 3)?
A. 4 + x + 3
B. 4x + 12
C. 4x + 3
D. 4x + 3x
SUBMI
Hey there!
4(x + 3)
= 4(1x + 3)
DISTRIBUTE 4 WITHIN the PARENTHESES
= 4(1x) + 4(3)
= 4(x) + 4(3)
= 4x + 12
Therefore, your answer is:
Option B. 4x + 12
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Each equation in a system of linear equations has the same slope. What are the possible solutions the system could have? A. LIVE The system could have no solution or infinitely many solutions. B. LIVE The system could have one solution or no solution. C. LIVE The system could have one solution. D. LIVE The system could have one solution or infinitely many solutions.
PLEASE HELP ASAP PLEASE!!!!
Answer:
(3,2)
Step-by-step explanation:
2x-4=y
2y+3x=13
We substitute the y in. They already gave us the equation 2x-4=y simplified so you would just plug this into the other equation
2(2x-4) +3x=13 : *distribute*
4x-8+3x=13 : *combine like terms*
7x-8=13 * add the 8 to the other side*
7x=21 *divide*
x=3
So the y=2x-4 is what we added in the place of the y to subtract it and solve for x. The second step would be solving for y. So now that we have our answer, 3 we plug it into the other equation preferably.
2(3)-4 =y : 6-4=y : 2=y
We can check our answer by pugging both x and y into both equations to make sure they are right. The statement should be true.
2x-4=y 2(3)-4=(2) 2=2
2y+3x=13 2(2)+3(3)=13 13=13
Dimond has 350$ in her bank account . She wrote 4 checks for 18.45$
each and 2 checks for 51.25$ each. what will be the balance in dimonds account after the checks are cashed?
Answer: 173 because she wrote two checks was nto given two checks so you subtract :)
Step-by-step explanation:
Grace found a red dress that cost $90, but saves $27 by using a coupon. For what percentage off is this coupon?
What fraction of 5 is 1/2
Answer:
5/10
Step-by-step explanation:
1/2 times 5 equals 5/10, so they are equal.
PLEASE HELP!! with solution needed!!
Step-by-step explanation:
move the denominators across sides
4x-8 = 3x+15
x=23
Answer:
x = 23Step-by-step explanation:
[tex] \frac{x - 2}{3} = \frac{x + 5}{4} \\ 4(x - 2) = 3(x + 5) \\ 4x - 8 = 3x + 15 \\ 4x - 3x = 15 + 8 \\ x = 23 \\ [/tex]
*will mark brainliest*
Little Tommie sees two triangles on his test. He is asked if the two triangles are similar by SAS similarity. His response is "Yes!" Is Little Tommie correct? Explain in at least three sentences.
Answer:
Yes
Step-by-step explanation:
Side 2 squared is side 4Side 3 squared is side 9since both those sides are similar , the angle between them is the same