Answers
Answer:
[tex]A=73.5\text{ cm}^2[/tex]
Step-by-step explanation:
The formula for an area of a triangle is:
[tex]A=\frac{1}{2}bh[/tex]
Where b is the base length and h is the vertical height.
From the triangle, we can see that the base is 21 cm while the vertical height is 7. Thus:
[tex]A=\frac{1}{2}(7)(21)[/tex]
Multiply:
[tex]A=\frac{1}{2}(147)[/tex]
Multiply:
[tex]A=73.5\text{ cm}^2[/tex]
And that's our answer :)
The Area of triangle is 73.5 square cm.
We have from the figure,
Base of triangle = 21 cm
Height of triangle = 7 cm
side of triangle = 15 cm
We know the formula for Area of Triangle
Area of Triangle = 1/2 x base x height
Now, plugging the value of base and height in the formula we get
Area of triangle = 1/2 x base x height
= 1/2 x 21 x 7
= 147/2
= 73.5 square cm
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Related Questions
Giles is searching for a sock and he discovers he has 10 socks for every 5 pair of shoes.If he has 20 socks, how many pairs of shoes does he have
Answers
Answer:
10
Step-by-step explanation:
Answer:
10 shoes
Step-by-step explanation:
Step 1: State what is known
Giles has 10 socks for every 5 pairs of shoes
He has 20 socks
Step 2: Set up the ratio
Let 'x' represent how much shoes Giles has
10 socks : 5 shoes
20 socks : x shoes
Step 3: Convert ratio into fraction
[tex]\frac{Socks}{Shoes}[/tex]
10 socks : 5 shoes = [tex]\frac{10}{5}[/tex]
20 socks : x shoes = [tex]\frac{20}{x}[/tex]
Step 4: Set ratio equal to each other and solve
[tex]\frac{10}{5}=\frac{20}{x}\\ 10x = 100\\\frac{10x}{10}=\frac{100}{10}\\x = 10[/tex]
Therefore Giles has 10 shoes when he has 20 socks
LOTS OF POINTS - SIMPLE MATH
Match the property name with the appropriate equation.
10. Opposite of a Difference......................A. −[(−r) + 2p] = −(−r) − 2p
11. Opposite of a Sum.....................................B. 16d − (3d + 2)(0) = 16d − 0
12. Opposite of an Opposite.........................C. 5(2 − x) = 10 − 5x
13. Multiplication by 0......................................D. −(4r + 3s) + t = (−1)(4r + 3s) + t
14. Multiplication by –1.....................................E. −(8 − 3m) = 3m − 8
15. Distributive Property...................................F. −[−(9 − 2w)] = 9 − 2w
Answers
Answer:
[tex]10. \text{Opposite of a Difference} \implies \text{E. } -(8 -3m) = 3m - 8[/tex]
[tex]11. \text{Opposite of a Sum} \implies \text{A. } -[(-r) + 2p] = -(-r) -2p[/tex]
[tex]12. \text{Opposite of an Opposite} \implies \text{F. }-[-(9 - 2w)] = 9 - 2w[/tex]
[tex]13. \text{Multiplication by 0} \implies \text{B. }16d -(3d + 2)(0) = 16d - 0 = 16d[/tex]
[tex]\boxed{\text{The product of two numbers is equal to 0} \implies 0 \cdot a = 0}[/tex]
[tex]14. \text{Multiplication by -1} \implies \text{D. } -(4r + 3s) + t = (-1)(4r + 3s) + t[/tex]
[tex]15. \text{Distributive Property} \implies \text{C. } 5(2-x) = 10-5x[/tex]
Order the following from LEAST to GREATEST: 26, 6.25, 4.7, 16
Answers
Answer:
4.7 , 6.25 , 16 , 26
Answer:
From least to greatest
4.7
6.25
16
26
How many different lines can a plane contain?
Answers
Answer:
For example if the three points are A, B and C in your diagram then there are infinitely many planes that contain the points. The final point is that if the three points do not lie on a line then there is exactly one plane that contains the points.
Step-by-step explanation:
Which situation can be represented by -35 + 35? Choose all that apply.
Last night Jenny read 35 fewer pages than the night before. She reads 35 pages tonight.
A diver is 35 feet below the surface of the water and then comes up to the surface.
Eric adds 35 milliliters of water to a test tube containing 35 milliliters.
Manuel owes the electric company $35 and he pays them $35.
Answers
Answer: B & D
Step-by-step explanation:
In this scenario we want to come out with a situation where both sides are in an even playing field, as the equation solves to zero.
If a diver is 35 feet below water (-35) and he comes up to breathe, he goes up 35ft (35) meaning he is at the surface (0).
If Manuel is in debt for 35$ (-35) and then he pays off the 35$ (+35) then he is even (at 0).
Answer:
A diver is 35 feet below the surface of the water and then comes up to the surface.
For the real valued functions f(x) = x-4/x-5 and g(x) = 4x+17, find the composition fog and specify its domain using interval notation.
(F o g)(x)=
Domain of f o g:
Answers
Answer:
(f o g)(x) = [tex]\frac{4x+13}{4x+12}[/tex]
Domain : (-∞, -3) ∪ (-3, ∞)
Step-by-step explanation:
Given : f(x) = [tex]\frac{x-4}{x-5}[/tex]
g(x) = 4x + 17
We have to find the value of (f o g)(x).
Since (f o g)(x) = f[g(x)]
= [tex]\frac{(4x+17)-4}{(4x+17)-5}[/tex]
= [tex]\frac{4x+13}{4x+12}[/tex]
For the Domain of the function (f o g)(x),
Given function is defined for (4x + 12) ≠ 0
4x ≠ -12
x ≠ -3
Therefore, Domain of the function will be : (-∞, -3) ∪ (-3, ∞)
Please solve, 1-8n-8= -7n-6n-12?
Answers
Answer:
n = -1
Step-by-step explanation:
1 - 8n - 8 = -7n - 6n - 12
Simplify
-8n - 7 = -13n - 12
Add 7 to both sides
-8n = -13n - 5
Add 13n to both sides
5n = -5
Divide both sides by 5
n = -1
Answer:
n = 1
Step-by-step explanation:
1 - 8n - 8 = -7n - 6n - 12
-8n + 7n + 6n = -12 + 8 - 1
5n = -5
n = -5/5
n = -1
probe:
1 - 8*-1 - 8 = -7*-1 - 6*-1 - 12
1 + 8 - 8 = 7 + 6 - 12 = 1
Which table has a constant of proportionality between y and x of 0.9? someone plz answer if i dont get this i wont be able to get a phone no joke plz help okie ty byee aaaa :)
Answers
Answer:
B
Step-by-step explanation:
= 2 - 4
Drawing Tools
Click on a tool to begin drawing
3 peate
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Select
Line
10-
8-
6-
4
-10
-8
-5
-4
8
10
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B
a
Answers
Answer:
Please find attached the required inverse of a function chart
Step-by-step explanation:
The inverse of a function is found by reversing the operations of the function
The inverse of the function f(x) = 2·x - 4 is found as follows;
x = 2·x - 4
x + 4 = 2·x
x = (x + 4)/2 = x/2 + 2
Therefore, the inverse of the function f(x) = 2·x - 4 is f(x) = x/2 + 2
The inverse function is plotted by generating data points as follows;
[tex]{}[/tex]x [tex]{}[/tex] f(x)
0 2
1 2.5
2 3
3 3.5
4 4
5 4.5
6 5
7 5.5
8 6
9 6.5
10 7
11 [tex]{}[/tex] 7.5
12[tex]{}[/tex] 8
13 8.5
14 9
15 9.5
16 10
Molly and Norachai are selling pies for a school fundraiser. Customers can buy blueberry pies and pumpkin pies. Molly sold 5 blueberry pies and 12 pumpkin pies for a total of $143. Norachai sold 10 blueberry pies and 8 pumpkin pies for a total of $142. Find the cost each of one blueberry pie and one pumpkin pie.
Answers
Answer:
Blueberry costs 9 dollars
Pumpkin costs 7 dollars
Step-by-step explanation:
Let "b" represent the price of a blueberry pie
Let "p" represent the price of a pumpkin pie
Step 1: Set equation
5b + 12p = 143 ----- 1
10b + 8p = 142 ----- 2
Step 2: Isolate 1 for "b"
5b = 143 - 12p
[tex]b = \frac{143}{5}-\frac{12}{5}p[/tex] ------- 3
Step 3: Substitute 3 into 2
[tex]10(\frac{143}{5}-\frac{12}{5} p )+8p=142\\286 - 24p + 8p = 142\\-24p + 8p = 142 - 286\\-16p = -144\\p = -\frac{144}{-16}\\ p = 9[/tex]
Step 4: Subsitute p = 9 into 1 for b
[tex]5p + 12(9) = 143\\5p + 108 = 143\\5p = 143 - 108\\5p = 35\\\frac{5p}{5}=\frac{35}{5}\\p = 7[/tex]
Therefore a pumpkin pie costs 7 dollars while a blueberry pie costs 9 dollars
Simplyfy the expression 4x+(15x+y) -11y
Answers
Answer:
(64x -11)/y
Step-by-step explanation:
Multiply 4x into the parenthesis.
60x + 4xy -11y
Divide by y.
(60x + 4x -11)/y
(64x -11)/y
Steps to solve:
4x + (15x + y) - 11y
~Remove parenthesis and combine like terms
4x + 15x + y - 11y
19x - 10y
Best of Luck!
How old am I if 400 reduced by 3 times my age is 241
Answers
Answer:
Step-by-step explanation:
5
14 + 19 = 313
25 + 13 = 328
7 + 18 = 235
10 + 40 = ?
Answers
Answer:
540
Step-by-step explanation:
since that the first is 14+19 and they are just adding 4+9 which is 13 so, the last is just a 3, and 1+1 is 2, plus the 1 that we have from the 13, then, you just add 1 on the Middle.
With 25+13 also you add normally, just add a 2 on the middle. And With the 3rd one add a 3 on the middle. So, with the last one, you add a 4 too.
Write a verbal sentence to represent the equation.
x+3/4=5
Answers
Answer:
[tex]\Large \boxed{\mathrm{The \ sum \ of \ a \ number \ and \ three \ quarters \ is \ five.}}[/tex]
Step-by-step explanation:
x + 3/4 = 5
x is the unknown number.
3/4 is added to the number.
The result is 5.
The verbal sentence to represent the equation would be:
The sum of a number and three quarters is five.
2 + (x + y) = (2 + x) + y is an example of which algebraic property?
Answers
Answer:
Associative Property of Addition
Step-by-step explanation:
The associative property of addition states that if all the operations are addition, then one can group and add them in whatever order they prefer.
Hope this helps! Tell me if I'm wrong!
A rectangular flour canister has dimensions of 512 inches by 4 inches by 10 inches. A smaller sugar canister has dimensions of 312 inches by 3 inches by 8 inches. How much smaller is the volume of the sugar canister than the flour canister?
Answers
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
I need help with this plz.
Answers
========================================================
Explanation:
T = (0,0) moves to T ' = (3,0) since we shift 3 units to the right. We add 3 to the x coordinate. The y coordinate does not change since we're not shifting up or down.
Q = (-2,0) moves to Q ' = (1,0) after applying the same rule we did to point T.
M = (-3,2) moves to M ' = (0,2)
Y = (-3,3) moves to Y ' = (0,3)
See the diagram below
find the area if each figure. round the nearest hundredth where neccessary.
Answers
Answer:
351.48cm²
Step-by-step explanation:
Heron’s Formula
Find half the perimeter (30+30+26)/2=43
It’s the square root of each side subtracted from 43, multiplied together, times 43.
√(43-30)*(43-30)*(43-26)*43=√13*13*17*43=√=123539=351.481cm²
Area of triangle is, 351. 39 cm²
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
We have to given that;
All the sides of triangles are,
⇒ 30 cm, 30 cm, and 26 cm
We know that;
⇒ Area of triangle = √ s (s - a) (s - b) (s - c)
Where, 's' is the semi perimeter of the triangle, and a, b and c are three sides of triangle.
Here, Sides are,
⇒ a = 30
⇒ b = 30
⇒ c = 26
Hence, We get;
⇒ s = (a + b + c) / 2
⇒ s = (30 + 30 + 26) / 2
⇒ s = 86 / 2
⇒ s = 43 cm
So, The area of triangle is,
⇒ Area of triangle = √ s (s - a) (s - b) (s - c)
⇒ Area of triangle = √ 43 (43 - 30) (43 - 30) (43 - 26)
⇒ Area of triangle = √ 43 × 13 × 13 × 17
⇒ Area of triangle = 13 √ 731
⇒ Area of triangle = 13 × 27.03
⇒ Area of triangle = 351. 39 cm²
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Ali is making pottery. He uses 38 of a 2-pound bag of clay to make a set of bowls. Each set has 4 bowls. Drag one expression next to each question. The correct expression for each row is a way to answer that question.
Answers
Answer:
[tex]\frac{3}{8}[/tex]
[tex]2\times \frac{3}{8} = \frac{3}{4}[/tex]
Step-by-step explanation:
According to the given scenario given that
if Ali uses [tex]\frac{3}{8}[/tex] of 2 pounds of clay for a game of 4 bowls
[tex]\frac{3}{8} (2) = \frac{6}{8} = \frac{3}{4}[/tex]
here Ali will use the number of pounds of clay to create a game
[tex]2\times \frac{3}{8} = \frac{3}{4}[/tex]
Now, we need to compute the number of pounds of clay that should be used in every bowl, we need to divide the prior outcome by 4 which is
[tex]\frac{2\times \frac{3}{8}}{4}[/tex]
how to slove -10 -1 need help
Answers
Answer:
-10 - 1 = x
Step-by-step explanation:
If you take -10 and subtract one, it makes the number go down lower because it's negative (example, 12 - 2 is -14)
Consider N{A} = 4 and N{B} = 5. (a) What is the smallest number possible for N{A ∩ B}? (b) What is the largest number possible for N{A ∪ B}?
Answers
Answer:
(a) N{A∩B} = 0
(b) N{A∪B} = 9
Step-by-step explanation:
Union of two sets: This can be defined as the sum of all the elements of the two sets without writing one element twice. it is denoted by the symbol ∪
Intersection of two sets; This is the set of elements that appears in both sets. It is denoted by the symbol ∩
From the question above,
assuming there is no repetition element in both set,
(a) The smallest number possible for N{A∩B} = 0
(b) The largest number possible for N{A∪B} = 4+5 = 9.
Solve equation: 4(3D- 1)=12d
Answers
Answer:
no solution
Step-by-step explanation:
Divide by 4:
3d -1 = 3d
Subtract 3d:
-1 = 0 . . . . . . FALSE
There is no value of d that will make this be true. The equation has NO SOLUTION.
What is the first derivative of p with respect to q (i.e., differentiate P with respect to q)?P = 6q2 + 3
Answers
Answer:
12qStep-by-step explanation:
Given P = 6q² + 3, we are to find the derivative of the function with respect to q. Generally if y = axⁿ;
dy/dx = naxⁿ⁻¹
Rewriting the given equation as P = 6q² + 3q⁰
Using the formula to find the derivative;
dP/dq = 2(6)q²⁻¹ + 0(3)q⁰⁻¹
dP/dq = 12q¹ + 0
dP/dq = 12q
Hence the derivative of the function P with respect to q is 12q
Use 5 fives, parentheses, and 4 operations to make 0.
Answers
Answer:
(5÷5+5)x(5-5)=0
Step-by-step explanation:
(5÷5+5)x(5-5)=0
It takes a bus 6 hours to take a trip. The train takes only 4 hours to make the same trip. The train travels at a rate of speed that is 25 mph more than the speed of the bus. What is the rate of the bus and the rate of the train?
Answers
Answer:
See answer is Explanation
Step-by-step explanation:
4 divided by 25 is 0.16
6 divided by 25 is 0.24
6 x 4 = 24
4 x 25 = 100
6 x 25 = 150
Jemima bought 150 oranges at ¢12 and sold them at 6 for 30gp find the profit or loss
Answers
Answer:
The loss is ¢ 4.50Step-by-step explanation:
To calculate either the profit or loss we must first find the cost price and the selling price
For the cost price
She bought 150 oranges at ¢12
Cost price = ¢ 12.00
For the selling price
She sold 6 at 30 Gp that's ¢ 0.30
If she sold 6 at ¢ 0.30
Then 150 will be 150× 0.3/ 6
Selling price = ¢ 7.50
Since the cost price is higher than the selling price she made a loss
Loss = Cost price - Selling price
Loss = ¢ 12 - ¢ 7.50
Loss = ¢ 4.50Hope this helps you
solve inequality 5x+1<=3x-17
Answers
Answer:
-9 >= x
Step-by-step explanation:
5x + 1 <= 3x - 17
add 17 to both sides- that will cancel the one on the right side. And on left side it would add to 18
5x + 18 <= 3x
then subtract 5x from both sides- that will cancel the one on left side. And on the right side ur left with negative 2x
18 <= -2x
divide both sides by negative 2... since dividing by -2 u have to slip the inequality sign.
-9 => x
hi
5x+1 ≤ 3x-17
5x-3x≤ -17 -1
2x≤ -18
x≤ -18/2
x≤ -9
solutions : x ∈ ] -∞; -9]
What is the value of the expression below when y=8y and z=8z? 10y-3z
Answers
Answer:
80y-24z
Step-by-step explanation:
For a 180° rotation about the origin, write the coordinates of each point in the table.
Answers
Answer:
Hey, you don't include any points, but I can give you the rule for an 180 degree rotation.
You just need to write the same points, but negative. So going from (x,y) to
(-x,-y).
As an example let's say you wanted to rotate (3,-4) 180 degrees about the origin. The the point after the rotation would be (-3,4).
Hope that helps!
I need help I have to indicate how many terms it contains then copy and simplify each expression by combining like terms
Answers
Answer:
b) −3y2−2x+1
d) −4xy+4y2−y−10
Step-by-step explanation:
b) -4x + y2 - 9 + 10 - x + 3x - 4y2
(i have just underlined, italic and made it bold to show the like terms)
-4x - x + 3x = -2x
y2 - 4y2 = -3y2
-9 + 10 = 1
-2x - 3y2 + 1
d) 0 - 20 - 5xy + 4y2 + 10 - y + xy
(i have just underlined, italic and made it bold to show the like terms, however the '-y' and '4y2' have no like terms)
0 - 20 + 10 = - 10
-5xy + xy = - 4xy
-10-4xy+4y2-y