Answer:
The perimeter of the triangle in centimetres is (9.1p + 2.4q - 4.1) centimetres
Step-by-step explanation:
Let a, b and c be the sides off a triangle. Its perimeter P = a + b + c.
Now, the triangle has side lengths (5.3p+ 7.6) centimetres, (3.8p – 4.3) centimetres, and (2.4q - 7.4) centimetres.
Let a = (5.3p+ 7.6) cm , b = (3.8p – 4.3) cm and c = (2.4q - 7.4) cm
So the perimeter of the triangle is P = a + b + c
substituting the values of a, b and c, we have
P = (5.3p + 7.6) cm + (3.8p – 4.3) cm + (2.4q - 7.4) cm
opening the brackets and collecting like terms, we have
P = (5.3p + 3.8p + 2.4q + 7.6 - 4.3 - 7.4) cm
P = (9.1p + 2.4q - 4.1) centimetres
So the perimeter of the triangle in centimetres is (9.1p + 2.4q - 4.1) centimetres
Evaluate the expression below for a= -9, b= -4.8 and c = 8
-c+b-a=
Answer:
-3.8
Step-by-step explanation:
a= -9, b= -4.8 and c = 8
Evaluating in steps:
-c+b-a=- 8 + (-4.8) - (-9) =- 8 - 4.8 + 9 = (9 - 8) - 4.8 = 1 - 4.8 = - 3.8The average distance from Earth to the sun is about 9.3 x 10LaTeX: ^77 miles. The average distance from Mars to the sun is about 1.4 x 10LaTeX: ^88 miles. When both planets are at their average distance from the sun, how much farther is Mars from the sun than Earth?
Answer:
Mars is [tex]1.4 \times 10 ^{88} miles[/tex] farther from the sun than Earth?
Step-by-step explanation:
We can assume that the two planets are on a straight line. This would make the solution easier for us.
The average distance from Earth to the sun is about [tex]9.3 \times 10 ^{77} miles[/tex]
The average distance from Mars to the sun is about [tex]1.4\times 10^{88} miles[/tex]
To find how much farther is Mars from the sun than Earth, we simply need to subtract the distances between the Earth and the Sun and the Distance between Mars and the Sun.
This will be
[tex]1.4\times 10^{88} miles[/tex] - [tex]9.3 \times 10 ^{77} miles[/tex] = [tex]1.4 \times 10 ^{88} miles[/tex]
Ted has these cards:5,2,6.
Make a list of all the 3 digit numbers he can make using the cards
Answer:
256
265
526
562
625
652
solve for x in this equation A=Bxt+C
Answer:
[tex]x = \frac{A - C}{Bt} [/tex]Step-by-step explanation:
A = Bxt + C
To solve for x move C to the other side of the equation
That's
Bxt = A - C
Divide both sides by Bt to make x stand alone
That's
[tex] \frac{Bxt}{Bt} = \frac{A - C}{Bt} [/tex]We have the final answer as
[tex]x = \frac{A - C}{Bt} [/tex]Hope this helps you
Is -0.11 a natural number?
Answer:
No it's not.
Step-by-step explanation:
A natural number is the subset of:
Positive numbersDoesn't include Zero.Hope this helps ;) ❤❤❤
Answer:
No
Step-by-step explanation :
a natural number is a positive integer greater than 0 and a number that does not include a decimal point.
Write each product in exponential form.
3x3x3x3x3
Answer:
3^5, because thats 5 3's
Step-by-step explanation:
Answer:
3⁵
Step-by-step explanation:
find the domain & range, pls helpp
Answer:
Domain: 1, 6
Range: 4
Step-by-step explanation:
The Domain is the first coordinate which is x
The Range is the second coordinate which is y
The domain is the set of departure of a function into constrained to fall it is the sex X in the notation f:X-Y and is denoted as dom. The range is set of data is the diffrence between largest and smallest values so The domain is 1,6 and range is 4
Which problem can we solve with 1/3 divided by 4.
Step-by-step explanation:
1/3÷4
1/3×4
4/3the answer is 4/3
Need Help on Pre Cal
======================================================
Explanation:
This is a piecewise function. It's composed of 3 pieces of other functions. A piecewise function is a function that changes its identity based on what the input is.
We have three different situations here
If t = 17, then h(t) = sqrt(17t) based on what the first row saysIf t = 19, then h(t) = -34/t which is the second row of the piecewise function.If t does not equal either 17 or 19 (ie t is anything but those values), then h(t) = 23-tThe notation h(17) means we want to evaluate h(t) when t = 17. So we'll use the first case mentioned above. Plug t = 17 into h(t) = sqrt(17t) to get...
h(t) = sqrt(17t)
h(17) = sqrt(17*17)
h(17) = sqrt(17^2)
h(17) = 17
In the last step, I used the rule that sqrt(x^2) = x when x is nonnegative.
4. Mrs. Brown can buy student movie tickets for $8 and adult tickets for $15.
Determine the total cost Mrs. Brown would pay for 3 student tickets and 2 adults?
Answer: Total of $54
Step-by-step explanation:
-Write 4.82 as a mixed number.
Write 7.7 as a mixed number.
OMG I NEED HELP i will give 10 points
Answer:
1)4 41/50
2)7 7/10
How many significant figures does 00.4463 have?
The measure of the complement of the supplement of angle A is 28°. The measure in degrees of angle A is
You can put this solution on YOUR website!
Define your variables,
Let X be your Angle
Then 180 - X is your Supplement
and 90 - X is your complement
Now you need to put these into an equation, this particular word probled does not have the equal sign "IS" however, the word measure0-xs, is the same, so that is where your = sign will go.
Your Equation should be...
180-x=2*(90-x)+28
Distribute
180-x=180-2x=28
Subtract 180 From Both Sides and add 2X to Both Sides
X+=+28
Your angle is 28, the Supplement is 152 and your Complement is 62
Solve: 1 x + 2 = -x + 7
10
5/2
2/5
20
Answer:
5/2
Step-by-step explanation:
1x+2=-x+7
2x=5
x=5/2
Solve the equation A = bh for b.
a) b = Ah
b) b = A/h
c) b = h/A
d) b = h – A
Answer:
b)b=A/h
Step-by-step explanation:
A=bh
Dividing both side by h,
or, b=A/h
OR,
A=bh
or, b=A/h
HOPE IT IS HELPFUL FOR YOU
PLEASE MARK ME AS A BRAINEST
Answer: b = A/h
Step-by-step explanation:
How many tattoos does Niall Horan have?
Answer:
0
Step-by-step explanation:
hope this helps with your math
Answer:
none
Step-by-step explanation:
What is the opposite of the opposite of negative nine?
Answer:
-9 or negative 9
Step-by-step explanation:
The opposite of negative 9 is positive 9.
The opposite of that is negative 9.
Answer:
+9
Step-by-step explanation:
i need help! please!!!!!!!!
Step-by-step explanation:
3x4=12
3.14
12-3.14
What is the value of x?
6.75+3/8×=13 1/4
Answer:
x = 17.3333
Step-by-step explanation:
Solve for x:
(3 x)/8 + 6.75 = 13 + 1/4
Hint: | Put the fractions in (3 x)/8 + 6.75 over a common denominator.
Put each term in (3 x)/8 + 6.75 over the common denominator 8: (3 x)/8 + 6.75 = (3 x)/8 + 54/8:
(3 x)/8 + 54/8 = 13 + 1/4
Hint: | Combine (3 x)/8 + 54/8 into a single fraction.
(3 x)/8 + 54/8 = (3 x + 54)/8:
(3 x + 54)/8 = 13 + 1/4
Hint: | Put the fractions in 13 + 1/4 over a common denominator.
Put 13 + 1/4 over the common denominator 4. 13 + 1/4 = (4×13)/4 + 1/4:
(3 x + 54)/8 = (4×13)/4 + 1/4
Hint: | Multiply 4 and 13 together.
4×13 = 52:
(3 x + 54)/8 = 52/4 + 1/4
Hint: | Add the fractions over a common denominator to a single fraction.
52/4 + 1/4 = (52 + 1)/4:
(3 x + 54)/8 = (52 + 1)/4
Hint: | Evaluate 52 + 1.
52 + 1 = 53:
(3 x + 54)/8 = 53/4
Hint: | Multiply both sides by a constant to simplify the equation.
Multiply both sides of (3 x + 54)/8 = 53/4 by 8:
(3 x + 54)/(8 1/8) = 1/4×1/(1/8) 53
Hint: | Any nonzero number divided by itself is one.
1/8×1/(1/8) = 1:
3 x + 54 = 1/4×1/(1/8) 53
Hint: | Write 1/4×1/(1/8) as a single fraction.
Multiply the numerator of 1/4×1/(1/8) by the reciprocal of the denominator. 1/4×1/(1/8) = 1/4×8:
3 x + 54 = 1/4×8×53
Hint: | Express 1/4×8×53 as a single fraction.
1/4×8×53 = (8×53)/4:
3 x + 54 = (8×53)/4
Hint: | In (8×53)/4, divide 8 in the numerator by 4 in the denominator.
8/4 = (4×2)/4 = 2:
3 x + 54 = 2×53
Hint: | Multiply 2 and 53 together.
2×53 = 106:
3 x + 54 = 106
Hint: | Isolate terms with x to the left hand side.
Subtract 54 from both sides:
3 x + (54 - 54) = 106 - 54
Hint: | Look for the difference of two identical terms.
54 - 54 = 0:
3 x = 106 - 54
Hint: | Evaluate 106 - 54.
106 - 54 = 52:
3 x = 52
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides of 3 x = 52 by 3:
(3 x)/3 = 52/3
Hint: | Any nonzero number divided by itself is one.
3/3 = 1:
x = 52/3
Hint: | Express 52/3 in decimal form.
52/3 = 17.3333:
Answer: x = 17.3333
Answer:
52/3
Step-by-step explanation:
The answer above me ^^
I have fewer than 25 acorns.
I have more than 21 acorns.
Draw how many acorns I could have.
Answer:
21 < a < 25
Step-by-step explanation:
More than 21 acorns is represented by 21 <
Fewer than 25 acorns is represented by < 25
Let a be the number of acorns you could have.
21 < a < 25
Is 63,459 greater or less than 62,935
Answer:
greater than
Step-by-step explanation:
63,459 is 542 more than 62,935
Answer:
63,459 is less than 63,935
Step-by-step explanation:
63,459 is less than 63,935 because in 63,459 the hundreds place is 400 and in 63,935 the hundreds place is 900.
Hope this helps, please mark brainliest. You dont have to if you dont like it
Question 5 (25. pts)
What can you conclude about your observations in Question 4? What happened as you moved P, the center of rotation, about the coordinate plane? How can you extend your discoveries about the vertices to all points that lie on a figure or shape?
Answer:
No matter where the center of rotation is located on the coordinate plane, each point in the preimage is the same distance from the point of rotation as its corresponding point in the rotated images. This distance is not affected by changing the location of P. Although this investigation covered vertices only, it's clear that any point on a shape or figure will be affected similarly.
Step-by-step explanation:
. >,<, = 6 × 10^−3 5 × 10^−3 Please help will mark brainly.
Answer:
6*10^-3 > 5*10^-3
Step-by-step explanation:
[tex]6*10^{-3}\\6*\frac{1}{10^{3} }\\6*\frac{1}{1000}\\\frac{6}{1000}=\frac{3}{500}=0.006[/tex]
[tex]5*10^{-3}\\5*\frac{1}{10^{3} }\\5*\frac{1}{1000}\\\frac{5}{1000}=\frac{1}{200}=0.005[/tex]
0.006>0.005, therefore, 6*10^-3>5*10^-3
4. A pizzeria bakes 6 dozen slices of pizza an hour. How many slices are baked
each minute? Record only the numerical part of your answer.
what is 4 fifteenths plus 11 twelves in simplest form
Answer:
192
Step-by-step explanation:
4(15)+11(12)
15+15+15+15=60
4(15)=60
12+12+12+12+12+12+12+12+12+12+12=132
11(12)=132
60+132=192
Hope this helps ;) ❤❤❤
The world record for the most number of speed skips in 60 seconds is 332 skips. If the record holder skipped at a constant ratio of seconds to skips, how many skips did she make in 15 seconds?
Answer:
83
Step-by-step explanation:
If that number of skips is represented by s, we can write the proportion ...
skips/seconds = s/15 = 332/60
s = 332(15/60) = 332/4 = 83
She skipped at the rate of 83 skips in 15 seconds.
_____
Additional comment
If the ratio seconds : skips is constant, then so will be the ratio skips : seconds.
Answer:
332/60 is 5.53, then multiply that by 15 and your answer is 83
Step-by-step explanation:
(25 POINTS!!!!) a rectangular garden measures 5 feet by 4 feet. The length and width are both increased by the same amount and the new area is 56 square feet. What are the new dimensions of the garden?
The new dimensions of the garden are 8 feet and 7 feet.
What is rectangle?A rectangle is a part of a quadrilateral, whose sides are parallel to each other and equal.
Given that,
The length of rectangular garden = 5 feet,
And the width of rectangular garden = 4 feet.
The area of rectangular garden = 5 x 4 = 10 square feet.
Let the length and width are increased by x feet, to make the new area 56 square feet.
The new length = 5 + x,
and new width = 4 + x.
The area = 56
(5 + x) × (4 + x) = 56
Substitute, x= 3 which satisfies the equation,
So, the new length of garden = 5 + 3 = 8 feet,
And the new width of garden = 4 + 3 = 7 feet.
To know more about Rectangle on:
https://brainly.com/question/15019502
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Please help I will give out brainliest and 100 points
Answer:
20.5 cm
21.5 cm
Step-by-step explanation:
Length is 21 cm correct to 2 significant figures
Find lower and upper bounds
The lower bound is the smallest value that will round up to the approximate value. The upper bound is the smallest value that will round up to the next approximate value.As per above definition:
Lower bound is 20.5 cm rounded to 21 Upper bound is 21.5 cm rounded to 22Answer:
a. L.B. = 20.5
b. U.B. = 21.5
Step-by-step explanation:
Length is measured 21 cm correct to 2 significant figures
a. Lower bound of 21
= 20.5 < 21
= 20.5
b. Upper bound of 21
= 21 < 21.5
= 21.5
Find the cube root(s): ∛1
Answer:
1
Step-by-step explanation:
1 times 1 times 1 = 1
25cg : 4g in lowest terms.
Step-by-step explanation:
We need to convert 25 cg : 4g in lowest terms.
We know that, 1 gram = 100 centigram
1 cg = (1/100) gram
25 cg = [tex]\dfrac{25}{100}[/tex] grams
To write 25 cg : 4g in lowest terms, the step to be done are as follows :
[tex]\dfrac{25\ cg}{4\ g}=\dfrac{\dfrac{25}{100}}{4}\\\\=\dfrac{\dfrac{25}{25\times 4}}{4}\\\\=\dfrac{1}{16}[/tex]
It means that the lowest term for 25 cg : 4g is [tex]\dfrac{1}{16}[/tex]