Hi!
Triangle Area Formula:[tex]\cfrac{bh}{2}[/tex]
Where b = base and h = height.
In the given problem, the base and height of the triangle are 10 inches and 7 inches.
Now, we can use the formula above.
If we plug in the given values, we have:
[tex]\dfrac{10*7}{2}[/tex]
Multiply 10 and 7:
[tex]\dfrac{70}{2}[/tex]
Divide:
[tex]35[/tex]
Using the triangle area formula, we have gotten a value of 35.
Therefore, the area of the triangle is 35 inches squared.
For a similar problem, see:
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Answer:
35 inches²
Step-by-step explanation:
Given Base and Height of triangle: 10 inches and 7 inches
To determine the area of a triangle, multiply the base and the height. Then divide the product of the base and the height by 2.
Therefore, the "area of triangle" formula is:
[tex]\boxed{\text{Area of a triangle} = \frac{\text{Base} \times \text{Height}}2}[/tex]
Now, substitute the base and the height in the formula. Then, simplify the expression to determine the area of the triangle provided.
[tex]\implies \text{Area of the triangle} = \dfrac{\text{10} \times \text{7}}2}[/tex]
[tex]\implies \text{Area of the triangle} = \dfrac{70}2} = \boxed{35 \ \text{in}^{2}}[/tex]
Therefore, the area of the triangle is 35 inches².
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This season, the probability that the Yankees will win a game is 0.57 and the probability that the Yankees will score 5 or more runs in a game is 0.46. The probability that the Yankees lose and score fewer than 5 runs is 0.33. What is the probability that the Yankees would score 5 or more runs when they lose the game? Round your answer to the nearest thousandth.
The probability that the Yankees would score fewer than 5 runs when they lose the game is 0.44.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
The probability that the Yankees will win a game P(win) = 0.57
The probability that the Yankees will score 5 or more runs in a game is:
P(s>5) = 0.46
The probability that the Yankees lose and score fewer than 5 runs is:
P(s<5) = 0.33
To find the probability that the Yankees would score fewer than 5 runs when they win the game:
This is the case of probabilities of one event and another event together we will multiply the respective probabilities of the event:
= 0.57 + 0.33 - 0.46
= 0.44
Thus, the probability that the Yankees would score fewer than 5 runs when they lose the game is 0.44.
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select the expression equivalent to
(4x+3)+(-2x+4)
-2x+12
-8x+12
6x+7
2x+7
please help me
Answer:
2x +7
Step-by-step explanation:
combine both x for instance 4x -2x =2× than add other numbers3+4=7
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
1 and 1/5 is the answer to this problem
4x - 8y = 16 solve for y
Answer:
y=1/2x-2
Step-by-step explanation:
4x - 8y = 16
-8y = 16-4x
y=-2+ 1/2x
y=1/2x-2
mark brainliest pls
Find the measure of angle 2, 5 and 6. And explain your answer please :)
Thank you
Angle 5 = 135
This is because corresponding angles are equal
Angle 6 = 180 - 135 = 45
This is because Angle 6 is on the same line as Angle 5, so you just need to subtract 135 from 180.
Angle 2 = 135
This is because opposite angles are equal
Investment question Part 2: $3,500 is invested at 7%. How much money
will be in the account after 17 years?
Answer:
$7665
Explanation:
simple interest: principal * rate (%) * time (years)
Given:
principal: $3,500
rate: 7%
time: 17 years
Solve for interest received:
3,500 * 7% * 17
$4165
Total money in account:
$4165 + $3,500
$7665
I NEED THIS ASAP ( Look at the picture).
Answer:
r ≈ 4
Step-by-step explanation:
circle = 360 degrees
360 / 90 = 4
let's call the area of triangle XYZ + the shaded area portion A
because ∠XYZ = 90°, and 360 / 90 = 4, A = 1/4th of the area
total area of circle = πr²
XY = YZ = radius
thus, as ∠XYZ = 90° and two sides are the same, this forms a 45-45-90 triangle, with base YZ and height XY (base/height are interchangeable here)
thus, area of triangle XYZ = r*r/2 = r²/2
area A = r²/2 + 4.64
4 * A = total area of circle
4(r²/2+4.64) = πr²
2r²+18.56 = πr²
subtract 2r² from both sides to put all the variables on one side
(π-2)r² = 18.56
divide both sides by (π-2) to isolate r²
18.56/(π-2) = r² ≈ 16.258
r ≈ 4.032 ≈ 4
Trapezoid area calculations
#1
1/2(Sum of parallel sides)Height=AreaArea
1/2(6+14)(5.5)1/2(20)(5.5)10(5.5)55in²#2
Apply Pythagorean theorem
B²=14²-12²=196-144=52B\approx 7Area
1/2(52+8)(12)6(60)360yd²#3
Area
1/2(Diagonals)1/2(6+6)(9+3)1/2(12)12)6(12)72ft²Answer:
Formulas Used
[tex]\textsf{Area of a Trapezoid}=\dfrac{1}{2}(a+b)h[/tex]
where:
a and b are the bases (parallel sides)h is the height (perpendicular to the parallel sides)[tex]\textsf{Pythagoras' Theorem}: \quad a^2+b^2=c^2[/tex]
where:
a and b are the legs of the right trianglec is the hypotenuse (longest side, opposite the right angle)[tex]\textsf{Area of a Kite}=\dfrac{1}{2}pq[/tex]
where:
p and q are the diagonals-----------------------------------------------------------------------------------------
Question g (Trapezoid)
[tex]\textsf{Formula}: \quad A=\dfrac{1}{2}(a+b)h[/tex]
[tex]\textsf{Substitution}: \quad A=\dfrac{1}{2}(6+14)5.5[/tex]
[tex]\textsf{Answer}: \quad A=55\:\: \sf in^2[/tex]
Question h (Trapezoid)
[tex]\textsf{Formula}: \quad A=\dfrac{1}{2}(a+b)h[/tex]
Find the missing side length of the right triangle using Pythagoras' Theorem:
[tex]\implies a=\sqrt{14^2-12^2}=\sqrt{52}[/tex]
Therefore, top edge of trapezoid = √52 + 8
[tex]\textsf{Substitution}: \quad A=\dfrac{1}{2}(\sqrt{52}+8+8)12[/tex]
[tex]\textsf{Answer}: \quad A=96+12\sqrt{13}=139.3\:\: \sf yd^2\:(nearest\:tenth)[/tex]
Question i (Kite)
[tex]\textsf{Formula}: \quad A=\dfrac{1}{2}pq[/tex]
[tex]\textsf{Substitution}: \quad A=\dfrac{1}{2}(6+6)(3+9)[/tex]
[tex]\textsf{Answer}: \quad A=72\:\: \sf ft^2[/tex]
7,614 is closer to ___ than it is to ____
Answer:
closer to 8000 than it is to 7000
Answer:
Hope this helps :)
7,614 is closer to 8,000 than it is to 7,000
This is because if the number has the hundreds place with 500 or more than it would be round up. If it's less than 500 than round down.
Also 7,614 rounded to the nearest thousand is 8,000 because the 6 in the hundreds place is more than 5 so we round up in the thousands place. The final answer would be 8,000.
f(0)=4 ; f'(0)=0 ; f'(x)<0 for x<0 and f'(x)>0 for x>0
Answer:
f(0)=4 ; f'(0)=0 ; f'(x)<0 for x<0 and f'(x)>0 for x>0
Step-by-step explanation:
what is the radius of 3 inches in a circle what is the radius?
Answer:
See below
Step-by-step explanation:
Radius is the straight lne distance from the center of the circle to any point on the circle.
How can the equation 3*= 4x + 1 be used to check any solutions indicated by the graphs of y= f(x) and y= g(x)?
Answer:
shook
Step-by-step explanation:
The x-coordinate of each point where the graphs of y = f(x) and y = g(x) intersect corresponds to a solution of the equation. To check the solutions, first substitute x = 0 and then substitute x = 2 into the equation and verify the statement is true when x equals each of those values.
Find the inverse function answer to the question in the image attached.
The inverse function is:
[tex]g(x) = 27*x^3 - 4[/tex]
And g(2) = 212.
How to get the inverse function?
We need to find g(x) such that:
g(h(x)) = x.
We know that:
[tex]h(x) = \frac{\sqrt[3]{x + 4} }{3}[/tex]
Then our function must be a cubic, multiplied by 3^3 = 27, and then subtracts 4, it is:
[tex]g(x) = 27*x^3 - 4[/tex]
As you can see, if you evaluate in h(x), the outcome is x.
Now we can evaluate this in x = 2, we get:
[tex]g(2) = 27*2^3 - 4 = 212[/tex]
The correct option is C.
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If the right triangle's dimensions are enlarged by 3 units, the new area would be *blank* square units. Just write the numerical answer.
Your answer
15 points!!
Answer:
If each of the dimensions was enlarged by 3 units then the new length would be 5 and the new width would be 6. To find the area of the triangle we use the formula: A = L x W ÷ 2.
6 x 5 = 30ft2
30 ÷ 2 = 15ft2
Therefore the new area of the triangle would be 15ft2.
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
help me pleaseeeeeeeeee, much appreciated!!!!!!!!!!
Step-by-step explanation:
that is quite a lot of failing TVs.
if 5% are failing, this means you have a "chance" of 5/100 = 1/20 that your TV is among them.
that means the expected costs for replacement in the next 3 years are
1750 × 1/20 = 175/2 = $87.50
minus the $200 replacement plan the expected value is of course negative :
87.5 - 200 = -$112.50
and if your TV breaks after more than 3 years, the expected value is actually -1750 - 200 = -$1,950
which is the principle of replacement plans, and why I never buy one.
but sure, for the 5% with broken TVs this pays off big time (it is kind of a lottery).
The graph below represents the number of pieces of paper that are found in boxes. What is the constant of proportionality?
Answer:
12.5
Step-by-step explanation:
It is equal to the slope of the line = 50/4 = 12.5
Help me with this problem
Answer:
Looking at the given points we know that it is going to be a triangle because it only have 3 points. Therefore the figure is a triangle and the area formula would be [tex]A=\frac{1}{2}*b*h[/tex].
You can look at the attached graph and what we see is that our height of the triangle is from [tex]y=-3[/tex] to [tex]y=4[/tex] which means that our height is 7 units high. We can also see that our base starts at [tex]x=-4[/tex] and ends at [tex]x=4[/tex] making us have a base of 8 units.
We then plug in the values and solve
[tex]A = \frac{1}{2}*7\ units * 8\ units[/tex]
[tex]A = \frac{1}{2}*56\ units^2[/tex]
[tex]A = 28\ units^2[/tex]
Therefore, the area of our triangle is [tex]28\ units^2[/tex]
Hope this helps! Let me know if you have any questions
please help with this
Can someone help me please?
I’ll give you brainliest ^^
The sample space that represents all possible buses and boats combinations is given by:
{(D,1), (D,2), (D,3), (E,1), (E,2), (E,3), (F,1), (F,2), (F,3)}.
What is the sample space of an experiment?The sample space is the set that contains all possible outcomes for an experiment.
In this problem, for each the bus and the boat, there are 3 outcomes, hence the cardinality of the sample space is given by:
3 x 3 = 9.
Considering that one letter from D, E and F, and one number for 1, 2 and 3 are chosen, the sample space is given by:
{(D,1), (D,2), (D,3), (E,1), (E,2), (E,3), (F,1), (F,2), (F,3)}.
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Mrs hernandez is taking her children and their friends to the movies. She will pay $10 for her adult ticket and $7 for each child ticket. Mrs hernandez does not want to spend more than $40. Which inequality can be used to find c, the number of child tickets Mrs hernandez can purchase
Answer:
The inequality is
10+7x\leq 4010+7x≤40
Step-by-step explanation:
Let
x-----> the number of child tickets
we know that
10+7x\leq 4010+7x≤40 -----> inequality that represent the situation
Solve for x
7x\leq 40-107x≤40−10
7x\leq 307x≤30
x\leq 4.3x≤4.3
The maximum number of child tickets is 4
Strawberries cost $2.14 per pound and Annie purchased 1.3 pounds. How much did she pay for strawberries if her answer is rounded to the nearest cent?
Help me solve pls don’t know the equation
if M is the midpoint of AB, and O is the any point, find an expression for OM in terms of OA and OB
The expression for OM in terms of OA and OB when M is the midpoint of AB, and O is any point, is OM=OA-OB.
What is midpoint?For a line segment, mid-point is the middle point of it which divides the line segment into the two equal parts.
The M is the midpoint of line segment AB. Thus, it divides the AB in two equal parts.
[tex]AB=MA+MB[/tex]
O is any point on the line segment AB. An expression for OM in terms of OA and OB has to be found out.
The length of OM is the difference of OA and OB as shown in the figure attached below.
[tex]OM=OA-OB[/tex]
Thus, the expression for OM in terms of OA and OB when M is the midpoint of AB, and O is any point, is OM=OA-OB.
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PLEASE HELP!!!!! WILL MARK BRAINLIEST!!!
Answer:
either 1/3 chance or 1/6 chance
Step-by-step explanation:
not exactly sure...
what does the solution to a system of equations mean?
Answer:
The solution to a system of equations means the point must work. In both equations in the system, if you are asked if a point is a solution to an equation, you replace the variables with the given values and see if the two sides of the equation is equal "so is a solution"
Solve for the surface area of the shape 6m 6m 6m 6m 4m
Answer:
28
Step-by-step explanation: add all sides together
Please I really need this answer doing cumulative exam!!!
Scott is reading two books at the same time to prepare for a report he is writing. So far, he has read 407 of the total number of 557 pages, which is Three-fifths of the shorter book and StartFraction 5 Over 6 EndFraction of the longer book. Which system of equations can be used to determine the total number of pages in the shorter book, x, and the total number of pages in the longer book, y?
x + y = 557 and Three-fifths x + five-sixths y = 407
x + y = 407 and Three-fifths x + five-sixths y = 557
x + y = 557 and Five-sixths x + three-fifths y = 407
x + y = 118 and StartFraction 4 Over 9 EndFraction x + two-thirds y = 118
An equation is formed of two equal expressions. The correct option is x+y=557 and Three-fifths(x)+five-sixths(y)=407.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Let the total number of pages in the shorter book be represented by x, and the total number of pages in the longer book be represented by y.
Given the total number of pages of the shorter book and the longer book is 557. Therefore, the equation can be written as,
x+y =557
Also, Scott reads Three-fifths of the shorter book and StartFraction 5 Over 6 EndFraction of the longer book, which is equal to 407 pages. Therefore,
(3/5)x + (5/6)y = 407
Hence, the correct option is x+y=557 and Three-fifths(x)+five-sixths(y)=407.
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4 David has $100 to spend on clothes for school.
He has a coupon for $10 off when he spends at least $50.
He buys a pair of pants for $27.99, two t-shirts for $12.99 each, and a pair of shoes for
$34.99.
The sales tax is 8% of the total after the coupon is applied.
How much money will David have left after his purchases?
Step-by-step explanation:
well , adding the total cost we have $75.97 which is approximately $76 , getting 8% of that will be 76 × 8/100 , which is $6 , negate it from 76$ that gives is $70 spent and remember that initially he had 100 :. 100-70 which is $30 remaining
I what goes first y axis or x axis
Answer:
The x-coordinate always comes first, followed by the y-coordinate. As you can see in the coordinate grid below, the ordered pairs (3,4) and (4,3) are two different points!
Step-by-step explanation:
Answer:
The x-coordinate always comes first
Can someone help me with this question please
Answer:
∠A≅∠Y AB≅YZ
∠B≅∠Z AC≅YX
∠C≅∠X BC≅ZX
ΔABC≅ΔYZX
Step-by-step explanation:
congruent is identical in form so if the angle has one dash than look for the identical version on the other triangle
