Answer:
8 cm and 15 cm
The measure of the side is 15 cm
The measure of the right angle triangle is 8 cm, 15 cm and 17 cm
What is a Triangle?
A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
Given data ,
Let the triangle be represented as ΔABC
Now , the base of the triangle BC = 8 cm
The height of the triangle be AB = x cm
The hypotenuse of the triangle AC = 17 cm
So , for the triangle to be a right angle triangle ,
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
Substituting the values in the equation , we get
AC² = AB² + BC²
So , AB² = AC² - BC²
On simplifying the equation , we get
AB² = 17² - 8²
AB² = 289 - 64
AB² = 225
Taking square roots on both sides of the equation , we get
AB = 15 cm
Therefore , the value of x is 15 cm
Hence , The measure of the side is 15 cm
The measure of the right angle triangle is 8 cm, 15 cm and 17 cm
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Trans typ./ Check no. Date Description of Transaction Payment/ Debit (-) Deposit/ Credit (+) Balance 900 00 303 5/21 Sandra's Beauty Salon 25.00 25 00 Haircut and Styling 925 00 What did Stephanie do wrong?
Answer:
SHE ADDED THE COST OF THE HAIRCUT TO HER BALANCE.
Step-by-step explanation:
Instead of debited the cost of the haircut stephanie done the mistake by entering the charges of the hair cut into her balance. So due to this, the wrong entry should be recorded.
Therefore the above situation represents the situation in which she did the wrong
Hence, the same is to be considered
x/4 +6 ≤ x+8 inequality
Answer:
Solution in photo
Step-by-step explanation:
What is the area of the quadiralateral
Answer:
100
Step-by-step explanation:
Givens
WX = 4 + 3 = 7
ZY = 7 + 6 = 13
Height = 4 + 6 = 10
Formula
Area = (WX + ZY ) * height /2
Solution
Area = (7 +13)*10 / 2
Area = 20*10/2
Area = 200/2
Area = 100
ASAP Which diagram shows the correct setup for an electromagnet?
Answer:
D
Step-by-step explanation:
The correct diagram is D.
The diagram that shows the correct setup for an electromagnet is Option D)
The set up of an electromagnet
The correct setup of an electromagnet involves the following steps:
1. Obtain a ferromagnetic core, such as iron, steel, or a magnetic material.
2. Wrap an insulated wire around the ferromagnetic core, forming a coil.
3. Connect the ends of the wire to a power source, such as a battery or power supply.
4. When current flows through the wire, it creates a magnetic field, magnetizing the core and forming the electromagnet.
5. The strength of the electromagnet can be controlled by adjusting the current flowing through the wire.
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find the nth term of the quadratic sequence
3,11,25,45
Four friends had dinner at a restaurant. The bill was $55.40, and they added a 20% tip. The 4 friends shared the total cost equally. How much money did each person pay?
Answer:
$16.62 each
Step-by-step explanation:
First, find 20% of the bill to figure out how much the tip is worth:
20% over 100% = $x over $55.40 ---> 20 * 55.4 / 100 = 11.08
Now that we know the tip is $11.08, next add it on to the bill:
$11.08 + $55.40 = $66.48
Now divide this by 4 to split the bill evenly between the 4 friends:
$66.48 / 4 = $16.62
Manu picked 10 apples, and then Sten gave him 10 more. Manu gave 5 of the apples to Klara. How many
does Manu have left?
Answer:
15
Step-by-step explanation:
Answer:
Manu has 15.
Step-by-step explanation:
Manu picked 10 apples
He has ten
Sten gave him ten more
Manu has 20
Manu gives Klara 5
Manu has 15.
Find the percent increase. Round to the nearest percent.
From 92 books to 131 books.
what is the percent increase?
Answer:
The percent increase should be 42%
Step-by-step explanation:
Subtract 131 from 92, you'll get 39
Divide, 39/92=423913....
Simply, I got 42%
Identify the solution found in Quadrant IV. Express your answer in the form (x, y) where x and y are both integers.
(A) (-1, -7)
(B) (0,1)
(C) (2, -1)
(D) (3,1)
Answer:
I think it is C you should practice This is easy
Step-by-step explanation:
Write a real-world problem where you would
want to compare rates of change for two different functions.
Answer and Step-by-step explanation:
Let us assume two boys are jogging.
Boy 1 jogging speed is 10 kilometres per hour
Boy 2 jogging speed is 20 kilometres per hour
This can be represented in terms of distance, d and time, t. When we do this, we have:
d = 10t boy 1
d = 20t boy 2
This implies that boy 1 rate of change is 10 kilometers for every one hour and boy 2 is 20 kilometers for every 1 hour.
From here, we can conclude that the rate of change of boy 2 is twice the rate of change of boy 1.
A car manufacturer states that a particular car
* uses 5 liters of fuel in travelling 100 km,
* produces 110 grams of CO2 for each kilometer travelled.
The mass of CO2 produced by one litre of fuel is:
Answer:
The mass of CO2 produced by one liter of fuel is 2,200 gr/lt
Step-by-step explanation:
Proportions
To find the cross-relation between the mass of CO3 produced and the liters of fuel used we must find the unit rate of both relationships given.
We know:
The car uses 5 liters of fuel per 100 Km. The unit rate is 5/100 lt/km
The car produced 110 grams of CO2 for each kilometer traveled. The unit rate is 110 gr/Km
Since the kilometers is the common unit, we find the unit rate of CO2/fuel:
[tex]\displaystyle \frac{\frac{110}{1}}{\frac{5}{100}}=\frac{110}{1}}*\frac{100}{5}}= 110*20 = 2,200[/tex]
The mass of CO2 produced by one liter of fuel is 2,200 gr/lt
My friend and I went to buy earrings. The shopkeeper said each pair of earrings cost Rs. 12, but offered 12 pairs for Rs. 100. Roughly how much discount am I getting if I buy 12 pairs? a)10% b)12% c)30% d)45%
Answer:
c)30%
Step-by-step explanation:
Step one:
given data
The shopkeeper said each pair of earrings cost Rs. 12
if he offered 12 pairs for Rs. 100.
let us find the cost per pair
= 100/12
=Rs. 8.3 per pair
Required
The percent discount
Step two:
%percent discount= 12-8.3/12*100
%percent discount= 3.66/12*100
%percent discount= 0.305*100
%percent discount= 30.5%
An auditorium has 30 rows with 10 seats in the first row, 12 in the second row, 14 in the third row, and so forth. How many seats are in the auditorium? (1 point)
Answer:
My answer is 1170 but the way I figured out the problem was by listing numbers 1-30. the problem state that the 1st row had 10, 2nd row had 12, and 3rd row had 14 and so forth. So I basically did the same method till I got to 30 and then add up all the numbers which gave me the answer of 1170.
Step-by-step explanation:
Answer:
1170
Step-by-step explanation:
hey there,
(the other person just calculated each number themselves then added them up which i guess is okay but not in the long term for when you're taking a test for example or your teacher asks you this kind of question so it's better to memorize a formula.)
< There are two types of sequences: arithmetic and geometric. So also two formulas for finding sums of each. This situation is an arithmetic sequence.
Formula for the sum of an arithmetic sequence: [tex]S_n=\frac{n}{2} (a_1+a_n)[/tex]
We know there are 30 total rows so n = 30. a1 is the very first term of a sequence so this is 10 in this situation. Before we fill in the formula, we should find what an is equal to.
For this, we will use the basic formula you learned previously: [tex]a_n=dn+c[/tex]
d (the common difference) = a2-a1 = 12-10=2
c (the common ratio) = a1-d = 10-2 = 8
an = dn + c = 2(30) + 8 = 68
Now that we have found what a_n is equal to, we can plug everything into the sum equation.
[tex]S_n = \frac{30}{2} (10+68)=1170[/tex]
So 1170 is your final answer. >
Hope this helped! Feel free to ask anything else.
Compare the function with the parent function. Without graphing, what are the vertex, axis of symmetry, and transformation of the given function? y=|6x-2|-7
(1/3,7); x=1/3; translated to the right 1/3 unit and up 7 units
(1/3,7); x=1/3; translated to the left 1/3 unit and down 7 units
(1/3,-7); x=1/3; translated to the right 1/3 unit and down 7 units
(1/3,-7); x=1/3; translated to the left 1/3 unit and up 7 units
Answer: (1/3,-7); x=1/3; translated to the right 1/3 unit and down 7 units
Step-by-step explanation:
The parent function is:
g(x) = IxI
And we have:
f(x) = I6x - 2I - 7
We canr rewrite f to get:
f(x) = 6*Ix - 1/3I - 7
Then, now let's define some transformations:
If we start with g(x), a translation of N units to the right is:
f(x) = g(x - N)
if we start with g(x), a translation of N units up is:
f(x) = g(x) + N
A translation down would be:
f(x) = g(x) - N
And a vertical dilation of scale factor A is written as:
f(x) = A*g(x)
Then in this case we have:
A translation to the right of 1/3 units.
A dilation of scale factor 6.
A translation down of 7 units.
And the axis of symmetry will be when the absolute value part is equal to zero, or when
6*Ix - 1/3I = 0
And that is when x = 1/3.
Then the correct option is:
(1/3,-7); x=1/3; translated to the right 1/3 unit and down 7 units
You have a car worth $3,200. You owe $1,400 on the loan. You also owe $320 on a credit card. How much are your total liabilities?
Answer:
$1720 total liabilities
Step-by-step explanation:
The total liabilites are $1,720.
What is liability?Liability usually means that you are responsible for something, and it can also mean that you owe someone money or services.
Now given that,
Car worth = $3,200
Loan amount = $1,400
Owe on credit card = $320
Now since liability is the money owe by someone so in the present condition.
Total liabilities = Loan amount + Owe on credit card
⇒ Total liabilities = $1,400 + $320
⇒ Total liabilities = $1,720
which is the required total liabilities.
Thus, the total liabilites are $1,720.
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Another one please I need dis
Answer:
Angle CDB would be the answer
-15=8z+7
is the question
Answer:
z=-1
Step-by-step explanation:
8z+7=-15
8z=-15+7
z=-8/8
z=-1
Exact Form:
z = − 11/4
Decimal Form:
z == − 2.75
Mixed Number Form:
z = − 2 3/4
HOPES THIS HELPS YOU!!
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If you have 3 dollar bills and 6 nickels, how many cents do you have?
Answer:
You would have 10 cents.
Step-by-step explanation:
The length of a rectangle is equal to triple the
width. The perimeter of the rectangle is 85
centimeters. Write a system of equations to
represent this situation and then determine
the length and the width of the rectangle.
Answer:
y = 3x
2y + 2x = 85
x = 10 5/8 y = 31 5/8
Step-by-step explanation:
Let’s say that y = length and x = width. We know that the length is 3 times the width (y = 3x) and the perimeter of the rectangle is 85 (2y + 2x = 85). To solve the system of equations, substitute y = 3x into the other equation. This results in the equation 2(3x) + 2x = 85. We now simplify the equation. 6x + 2x = 85 8x = 85 x = 10 5/8.
Now that we know x, we can substitute it into either equation to solve for y. y = 3(10 5/8) y = 31 5/8
The system of equation which represent the given situation is 85 = 8x.
And the length and width of the rectangle is 36.86 and 10.62unit respectively.
What is perimeter?
Perimeter is the distance around the edge of a shape.
Formula for the perimeter of a rectangle[tex]P = 2(l+w)[/tex]
where,
P is the perimeter of the rectangle
l is the length of the rectangle
w is the width of the rectangle.
According to the given question here:
We have,
The perimeter of the rectangle is 85 unit.
Let the width of the rectangle be x unit.
Then, the length of the rectangle be 3x.
Therefore, the equation which represent the situation is given by
85 = 2(x + 3x)
⇒85 = 2(4x)
⇒ 85 =8x
⇒ x = 85/8 = 10.62unit
⇒ 3x = 10.62 × 3 = 31.86 unit.
Hence, the length of the given rectangle is 31.86 unit and width is 10.62 unit .
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PLEASE HELP MEEE which ordered pair is a solution to this equation -3x-7y=8
A.(-2,2)
B(-2,3)
C(2,-2)
D(3,-2)
What rational number is between 6 2/3 and square root of 48
Answer:
h
Step-by-step explanation:
Find the area of square of side 15 cm?
Answer:
225 cm square is the right answer.area of square = l×l = 15 ×15cm =225cm square.So, we know that a square has all sides equal. We need to multiply 15 by 15 to get the area of the square.
A = L x W
A = 15 x 15
= 225cm squared
Therefore, your answer is 225cm squared.
answer pleasee been stuck on these type of problems all night! :)
Answer:
ok
[tex]\pi = \frac{22}{7} or \: 3.142[/tex]
Step-by-step explanation:
[tex]c = 2\pi \: r \\ c = 2 \times \frac{22}{7} \times 15 \\ 94.28[/tex]
Answer:
C = 90 units²
Step-by-step explanation:
Since we are using 3 for π, simply substitute the information into the equation:
C = 2(3)(15)
C = 90 units²
Given the rule complete the table for the function rule for the following input values:
Answer:
A-0 B-4 C-5 D-3.5 E-6 F-4.5
Step-by-step explanation:
I followed the steps
Answer:
2, 2.5, 3, 3.5, 4, 4.5
Step-by-step explanation:
rearrange the equations. a + 2=b a=?
Answer:
a=b-2
Step-by-step explanation:
Answer:
Simply put, a=b-2
Step-by-step explanation:
Subtract 2 to both sides to isolate a.
A square has a perimeter of 44cm. What is the length of each side?
(b) A square has an area of 100cm. What is the length of each side?
a)11cm
b)25cm
you do 44cm divide by 4 which equals to 11
How many 7 digit numbers have6 9 s and no 9 in ones place
Answer:
1062882
Step-by-step explanation:
Seven digits numbers, with repetition of digits, having 6 or 9 at the last one's place :
The first six digits can be filled with 9 options each (numbers 1 to 9) , & the last digit can be filled with 2 options (number 6 & 9)
So, total 7 digit numbers as per given condition = 9 x 9 x 9 x 9 x 9 x 9 x 9 x 2 = 1062882
Suppose that G(x) = F(x+6). Which statement best compares tye graph of G(x) with the graph of F(x)?
Answer:
B.
Step-by-step explanation:
The 6 has moved up because of addition instead of subtraction
In the locker room, there are 8 rows of 9 lockers. All lockers were full in the morning, but in the afternoon 6 were empty. How many lockers were full in the afternoon?
Answer:
66
Step-by-step explanation:
The total number of lockers that were full in the morning was 72. Since 6 were empty in the afternoon, 72-6 = 66 full lockers
Please help !!
[90 points if correct]
Answer:
2201.8348 ; 3 ; x / (1 + 0.01)
Step-by-step explanation:
1)
Final amount (A) = 2400 ; rate (r) = 6% = 0.06, time, t = 1.5 years
Sum = principal = p
Using the relation :
A = p(1 + rt)
2400 = p(1 + 0.06(1.5))
2400 = p(1 + 0.09)
2400 = p(1.09)
p = 2400 / 1.09
p = 2201.8348
2.)
12000 amount to 15600 at 10% simple interest
A = p(1 + rt)
15600 = 12000(1 + 0.1t)
15600 = 12000 + 1200t
15600 - 12000 = 1200t
3600 = 1200t
t = 3600 / 1200
t = 3 years
3.)
A = p(1 + rt)
x = p(1 + x/100 * 1/x)
x = p(1 + x /100x)
x = p(1 + 1 / 100)
x = p(1 + 0.01)
x = p(1.01)
x / 1.01 = p
x / (1 + 0.01)
Answer:
2201.8348 ; 3 ; x / (1 + 0.01)
Step-by-step explanation:
Hope this helps! (: