Step-by-step explanation:
[tex]area \: of \: a \: triangle = \frac{1}{2} \times base \times height \\ \\ base = \frac{a}{2} cm \\ {h}^{2} + {( \frac{a}{2} )}^{2} = {a}^{2} \\ \\ h = \sqrt{ {a}^{2} - \frac{ {a}^{2} }{4} } \\ \\ area \: of \: triangle = \frac{1}{2} \times b \times h \\ = \frac{1}{2} \times \frac{a}{2} \times \sqrt{ {a}^{2} - \frac{ {a}^{2} }{4} } \\ \\ = \frac{a}{4} \times \sqrt{ {a}^{2} - \frac{ {a}^{2} }{4} } [/tex]
Which of the following ranges is most appropriate to represent the numerical data on the vertical axis of a Bar Chart? OA) 0 to 60 OB) 10 to 20 OC) 0 to 55 OD) 30 to 60
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Answer:
C
Step-by-step explanation:
I took the quiz
Emma is making posters by hand to advertise her school play, but her posters are not the same
length as a standard sheet of paper (the width is the same, though). She has 3 1/2 sheets of paper
left over, which she says is enough to make 2 1/3 posters. How many sheets of paper (and parts of
a sheet) does each poster use?
Answer:
1 1/2 sheets
Step-by-step explanation:
7/3 x = 7/2
x=3/2
In a basketball game, Noli scored 3 points by shooting the ball at a horizontal distance of 7 feet from the 10-feet-high hoop. Noli threw the ball 6 feet above the ground and the ball went twice as high as its initial horizontal distance from the hoop. What was the horizontal distance of the ball from Noli when it reached its maximum height?
Answer:
The horizontal distance of the ball from Noli when it reached maximum height is approximately 4.1 feet
Step-by-step explanation:
The horizontal distance from the hoop at which Noli threw the ball, y₀ = 7 feet
The height of the hoop = 10 feet
The height from which the ball was thrown = 6 feet
The height to which the ball is thrown = 2 × The initial horizontal distance from the hoop
∴ The height to which the ball is thrown, [tex]y_{max}[/tex] = 2 × 7 feet = 14 feet
The coordinates of points on the path of the ball are;
(0, 6), (7, 10), (x, 14)
The projectile in vertex form is y = a·(x - h)² + k
Where;
(h, k) = The x, and y-coordinate of the maximum height
The y-coordinate of the maximum height reached = k = 14 feet
The x-coordinate of the maximum height = h = The horizontal distance of the ball from Noli when it reached maximum height
At y = 6, x = 0, therefore, we get;
6 = a·(0 - h)² + 14 = a·h² + 14
6 = a·h² + 14
a = -8/h²
At y = 10, x = 7, we get;
10 = a·(7 - h)² + 14 = (-8/h²)·(7 - h)² + 14
10·h² = -8·(7 - h)² + 14·h²
-4·h² = -8·(7 - h)²
4·h² - 8·(7 - h)² = 0
-4·h² + 112·h - 392 = 0
h = (-112 ± √(112² - 4 × (-4) × (-392)))/(2 × -4)
h ≈ 4.1, or h ≈ 23.9
We reject the value, h ≈ 23.9 feet given that the distance between the where the Noli threw the ball and the hoop = 7 feet
Therefore, the horizontal distance of the ball from Noli at which the ball reached its maximum height, h ≈ 4.1 feet
Is the expression \left(5 \times 2\right)^x(5×2)
x
always equal to the expression 10^x10
x
? Explain your answer.
9514 1404 393
Answer:
yes
Step-by-step explanation:
The expression (5·2)^x is evaluated by evaluating the expression in parentheses first. When you do that, you get 10^x.
(5·2)^x ≡ 10^x
answer i guess i will give brainly for corret answers.
Answer:
B. Never
Step-by-step explanation:
When a number is irrational, it means that it cannot be written as a fraction.
I hope this helps!
pls ❤ and mark brainliest pls!
Answer:
c) when it is improper fraction
Does the graph represent a function? Why or why not?
Answer:
D. Yes, because it passes the vertical line test.
Step-by-step explanation:
In order to be a function, it needs to pass the vertical line test as a function can not have multiple y's for one x. However, functions can have multiple x's for one y such as in a quadratic function.
Answer:
D.
Brainliest, please!
Step-by-step explanation:
This function passes both the horizontal and vertical line tests. But when determining if it is a function or not, the vertical line test is the only one that matters. If we wanted to know if this function had an inverse or not, then B. would be right.
The exchange rate between dollars ($) and pounds (£) is $1 = £0.65 . The exchange rate between euros (€) and pounds is €1 = £0.74 . Khan changes €520 into pounds. He spends £260 and then changes the rest into dollars. Work out how many dollars he receives
Answer:
€520=£442.83
=£442.83-£260
=£182.83 into dollars=$251.52
Therefore he receives $251.52
Find the surface area of the composite figure
Answer:
144 cm²
Step-by-step explanation:
This figure is formed by rectangles and triangles, so we need to find the surface area of they and add all to have the surface area of the figure:
area of the rectangles:
4×3 = 12, and there are two of these rectangles
6×3 = 18, and there are just one of that
4×6 = 24, and there are two of these
5×3 = 15, and there are two of these
Now the area of a triangle:
6×4/2 = 12, and there are two of these
12×2 + 18 + 24×2 + 15×2 + 12×2 = 144 cm²
Which numbers are solutions of each inequality?
Answer:
45. -7.1, -7 1/7
46. 3.7
Step-by-step explanation:
45. y < -7
Answer: -7.1, -7 1/7
46.
z > 3 2/3
Answer: 3.7
Can someone help me on this please
Answer:
105
Step-by-step explanation:
y=75. 180-z=2y, z=180-2*75=30. As the triangle is isosceles, the other two angles are 75 and 75 and x+75=180, x=105
Which cannot be a value of 0 ? Help pls
Answer:
B.
Step-by-step explanation:
Since i is in the denominator, if i = 0, then the result will be undefined. Therefore, B cannot be a value of θ.
PLEASE HELP!!! Super important!!!
Answer:
5n
Step-by-step explanation:
output=5x
where x is = input
there fore if input is n, output is 5n
summer school is over, and I'm feeling self-destructive. Take all of my points and have a good night. 1/3
Answer:
Thanks for the points... dude.....
I need help with this question
Answer:
m
Step-by-step explanation:
2. What is the volume of the regular pyramid to the nearest whole number?
14 cm
12 cm
HELP!!!!! PLEASE!!!!
At the end of the first year, a zoo has 10 monkeys. If the number of monkeys doubles each year, how many will there be at the end of the fifth year?
A. 120
B. 160
C. 60
D. 50
Algebra 1 need help ASAP
Answer:
first one ( x ≥ -12)
Step-by-step explanation:
when you divide by -12 for both sides, the inequality reverses as the value is negative.
First one is the answer I think so
Which expression is equivalent to 36÷3+3?
22÷3⋅3
3⋅22÷3
3⋅22+3
22+3⋅3
Answer:
None.
Step-by-step explanation:
36 ÷ 3 + 3 = 15
22 ÷ 3 × 3 = 22
3 × 22 ÷ 3 = 22
3 × 22 + 3 = 69
22 + 3 × 3 = 31
A cuboid has a length of 25cm, a width of 5cm and height of (x-2)cm
(a) write an expression, in terms of x, for the volume of the cuboid
(b) the volume of the cuboid is 750cm³.
(i) form an equation in terms of x to represent this information
(ii) solve the equation in (i)
(iii) hence or otherwise calculate the height of the cuboid.
Step-by-step explanation:
Hi there!
From above question;
A cuboid has a length of 25cm, a width of 5cm and height of (x-2)cm.
Length (l) = 25cm
width (b) = 5cm
height (h) = (x-2)cm.
a).
Volume= l*b*h
V = 25*5*(x-2)
V = 125(x-2)
V = 125x - 250 → Answer
b).
(i)
V = 750cm³
V = 125x - 250
750 = 125x - 250..........(i)
(ii)
The equation (i) is: 750 = 125x - 250
or, 125x = 750+250
or, 125x = 1000
or, X = 1000/125
Therefore, X= 8cm.
(iii)
Height (h) = x-2
= 8-2
= 6
Therefore, height is 6cm.
Hope it helps!
Question : A miniature model of a statue is made using the scale 1 in = 10 ft. The height of the
miniature model is 7 in. What is the actual height of the statue?
1012
ROUP
Answer:
70 feet
Step-by-step explanation:
If the miniature model has size of 1 inch, the real statue will be 10 feet in size. So if the model is 7 inch in size, the real statue will be 70 feet in size.
Someone please helppp
Answer:
Step-by-step explanation:
L = 2 + sqrt(2)
W = 4 - 2sqr(2)
Area = L * W
Area = (2 + sqrt(2) )* (4 - 2sqrt(2) )
Use Foil
F: 2*4 = 8O: 2*(-2sqrt(2) = - 4sqrt(2)I: 4*sqrt(2)L: sqrt(2)*(-2sqrt(2) = - 2*2= - 4Result
Area = 8 - 4 - 4sqrt(2) + 4sqrt(2)
Area = 4
Help me pls! L need help with this
Answer:
G. -5/2
Step-by-step explanation:
First we want to distribute the 6 into q and 3.
6q + 18 = 2(q + 4)
Next distribute the 2 into q and 4.
6q + 18 = 2q + 8
Now the variable needs to be on one side of the equation. Subtract 2q from both sides.
4q + 18 = 8
Isolate the variable. Subtract 18 from both sides.
4q = -10
Divide 4 on both sides.
q = -10/4
We can now simplify this even further. Divide -10/4 by 2/2
q = -5/2
3,125 subtracted by what can give me 514
Answer:
2611
Step-by-step explanation:
3125-2611= 514
for more answers check my bio
Use the function f(x) = 2x3 - 3x2 + 7 to complete the exercises.
f(−1) =
f(1) =
f(2) =
Answer:
2, 6, 11
Step-by-step explanation:
To evaluate f(- 1) substitute x = - 1 into f(x)
f(- 1) = 2(- 1)³ - 3(- 1)² + 7 = 2(- 1) - 3(1) + 7 = - 2 - 3 + 7 = 2
Similarly
f(1) = 2(1)³ - 3(1)² + 7 = 2(1) - 3(1) + 7 = 2 - 3 + 7 = 6
f(2) = 2(2)³ - 3(2)² + 7 = 2(8) - 3(4) + 7 = 16 - 12 + 7 = 11
Answer:
f(-1) = 2
f(1) = 6
f(2) = 11
Step-by-step explanation:
Got it right on Edge (⌣_⌣”)
A circle has a circumference of C inches and an area of A square inches. inches. fC = 2/5 * A what is the diameter of the circle?
0.4 in.
0.8 in
2.5 in
10in
[tex]\it R=circle's \ radius;\ \ D=diameter;\ \ D=2R\\ \\ \mathcal{C}=2\pi R\\ \\ \mathcal{A}=\pi R^2\\ \\ \mathcal{C}=\dfrac{2}{5}\cdot\mathcal{A} \Rightarrow 2\pi R=\dfrac{2}{5}\pi R^2|_{\cdot\frac{5}{2}} \Rightarrow 5\pi R=\pi R^2|_{:(\pi R)} \Rightarrow 5=R|_{\cdot2} \Rightarrow 10=2R\\ \\ But,\ 2R=D,\ so\ \ D=10\ in[/tex]
Which term can be used in the blank of 36x3−22x2−__ so the greatest common factor of the resulting polynomial is 2x? Select two options.
2
4xy
12x
24
44y
Answer:
[tex]4xy[/tex][tex]12x[/tex]-------------
[tex]36x^3,\:22x^2,\:4xy[/tex]
Factor 36x³
[tex]2\cdot \:2\cdot \:3\cdot \:3\cdot \:x\cdot \:x\cdot \:x\\[/tex]Factor 22x²
[tex]11\cdot \:2\cdot \:x\cdot \:x[/tex]Factor 4xy
[tex]2\cdot \:2\cdot \:x\cdot \:y[/tex]Common factor
[tex]2x[/tex]---------------------
[tex]36x^3-22x^2-12x[/tex]
Factor 36x³
[tex]2\cdot \:2\cdot \:3\cdot \:3\cdot \:x\cdot \:x\cdot \:x[/tex]Factor 22x²
[tex]11\cdot \:2\cdot \:x\cdot \:x[/tex]Factor 12x
[tex]2\cdot \:2\cdot \:3\cdot \:x[/tex]Common factor
[tex]2x[/tex]OAmalOHopeO
I need help with the incorrect ones please
Answer:
73.6
61.824
.2776
2.3
1.342
.4129
*note* I had trouble reading the standard deviation of the second part, so if it's not 3 then leave a comment and i will fix it*
Step-by-step explanation:
1.)
the mean would be something like 460*.16= 73.6
The variance should be 460*.16(1-.16)= 61.824 which means the standard deviation is √61.824= 7.863
for p to be less than .15 it would have to be less than .15*460= 69
(69-73.6)/7.863= -.59 which has a probability of .2776
2.)
the mean is 2.3
I am not sure if the standard deviation is 3 or .3 (picture is kind of blurry)
I am thinking that it's three which would mean that the standard deviation would be √(3²*(1/5))= 1.342
(2-2.3)/1.342= -.22 = .4129
2p+8p>-20 help please ☺️
Answer:
p > -2
Step-by-step explanation:
2p + 8p > -20
10p > -20
10/10p > -20/10
p > -2
p is greater than -2
WILL GIVE BRAINLIEST, PLEASE ANSWER ASAP, URGENT!! I ONLY NEED 3 AND 4
Answer:
Step-by-step explanation:
85 which is <UTY is vertically opposite <RTS makes RTS = 85
So 3 is + 85 = 180 Substitution
2x + 3x + 85 = 180
5x = 95
x = 95/5
x = 19
