Answer:
Talisa is 62 inches tall
Step-by-step explanation:
tan = opp/adj
tan60 = opp/36
36 * tan 60 = opp
use calculator
opp = 62.353829072479583
Rounded
Talisa is 62 inches tall
Answer:
Using the right triangle created by this situation, and the fact that the trig ratio tan(θ) = opposite/adjacent, we can say tan(60°) = h/36 or h = 36•tan(60°) = 62.354So, to the nearest inch, Talisas is 62 inches long.if you satisfied to my answer ,can you put brainliest in top of my name , and ur welcomeGiven the definitions of f(x) and g(x) below, find the value of (fog)(-8).
f(x) = x2 – 3x – 12
g(x) = -x - 12
Answer:
[tex](f \circ g)(-8) = 16[/tex]
Step-by-step explanation:
The given function are;
f(x) = x² - 3·x - 12, and g(x) = -x - 12
[tex](f \circ g)(x) = f(g(x))[/tex]
Therefore;
[tex](f \circ g)(-8) = f(g(-8))[/tex]
g(-8) = -(-8) - 12 = 8 - 12 = -4
∴ f(g(-8)) = f(-4) = (-4)² - 3×(-4) - 12 = 16
Therefore;
[tex](f \circ g)(-8) = f(g(-8)) = 16[/tex]
Solve the system by substitution.
2x – 3y = 38
-x – 6 = y
Answer:
x=19,0
y=0,-38/3
Step-by-step explanation:
Answer:
x = 4, y = -10
Step-by-step explanation:
-x - 6 - y = 0
-x - y = 6
2x - 3y = 38, -x - y =6
2x - 3y = 38
2x = 3y + 38
Divide both sides by 2
x = 1/2(3y+38)
Multiple 1/2 times 3y + 38
x= 3/2 y + 19
-(3/2y + 19) -y =6
-3/2y - 19 - y = 6
-5/2y -19 = 6
-5/2y = 25
y = -10
x = 3/2(-10) + y
x = -15 + 19
x = 4
x = 4, y = -10
if $7000 is borrowed at the rate of 5% per annum for 3 years what is the simple interest
Answer:
$450
Step-by-step explanation:
On a winter day, there is a 10% probability it will snow in Toronto, a 50% probability it will snow in Ottowa, and a 90% probability it will snow in Brampton. Which of the following expressions best represent the probability that it will snow in all three cites on that same day? Explain why.
a) Less than 10%
b) About 50%
c) About 95%
d) More than 100%
please help me
Answer:
about 50 persent
Step-by-step explanation:
Please help :,(
the ordered triple for point U is (-3,3,-4). To graph this point in three-dimensional coordinates space, do the following
From the origin, move back 3 units, right 3 units, and down __ units
A. 3
B. 4
This is because the z coordinate is -4. So we move down 4 units on the z axis. The z axis is basically a vertical pole planted in the ground, and the xy plane is the flat floor.
It's a bit tricky to visualize so try to imagine that you're in this 3D space personally.
Or you could imagine that something like z = -4 means you are in basement level 4 of a building (say a parking garage) and something like z = 6 means you're on the 6th floor above the ground.
John made this model to show \frac{4}{7}\times\frac{13}{9} 7 4 × 9 13 Using John's model, what is \frac{4}{7}\times\frac{13}{9} 7 4 × 9 13 ? You may use the scratchpad to show your work.
Answer:
[tex]\frac{4}{7}\times\frac{13}{9} = \frac{52}{63}[/tex]
Step-by-step explanation:
Given
See attachment for model
Required
Determine [tex]\frac{4}{7}\times\frac{13}{9}[/tex] from the model
The model is represented by:
[tex]\frac{4}{7}\times\frac{13}{9} = \frac{4}{7}\times\frac{9}{9} + \frac{4}{7}\times\frac{4}{9}[/tex]
To get: [tex]\frac{4}{7}\times\frac{9}{9}[/tex], we consider the first partition
The number of shaded box is 63 ---- this represents the denominator
The total boxes shaded at the bottom is 36 ---- this represents the numerator
So, we have:
[tex]\frac{4}{7}\times\frac{9}{9} = \frac{36}{63}[/tex]
To get: [tex]\frac{4}{7}\times\frac{9}{9}[/tex], we consider the first partition
The number of shaded box is 63 ---- this represents the denominator
The total boxes shaded at the bottom is 16 (do not count the gray boxes) ---- this represents the numerator
So, we have:
[tex]\frac{4}{7}\times\frac{4}{9} =\frac{16}{63}[/tex]
The equation becomes:
[tex]\frac{4}{7}\times\frac{13}{9} = \frac{4}{7}\times\frac{9}{9} + \frac{4}{7}\times\frac{4}{9}[/tex]
[tex]\frac{4}{7}\times\frac{13}{9} = \frac{36}{63} + \frac{16}{63}[/tex]
[tex]\frac{4}{7}\times\frac{13}{9} = \frac{36+16}{63}[/tex]
[tex]\frac{4}{7}\times\frac{13}{9} = \frac{52}{63}[/tex]
Please help, will give Brainliest and 40 points!
Answer:
3^12
Step-by-step explanation:
(3^2)^6
6 * 2 = 12
3^12
Calculator check: (3^2)^6 = 531441
3^12 = 531441
Answer:
3^12
Step-by-step explanation:
We know that a^ b^c = a^(b*c)
3^2^6 = 3^(2*6) = 3^12
Pls help pls you would save me so much if you help PLEASE???!!!
Answer:
1)3:1:2:1:1
2) its theoretical probality because Jayden is calculating the probability of it happening, not actually going out and experimenting.
hope that helps bby<3
Please help me on this question
Answer:
A = 6π
Step-by-step explanation:
Expression for the area of a sector is given by,
A = [tex]\frac{\theta}{360}(\pi r^{2} )[/tex]
For θ = 240° and r = 3,
By substituting these values in the given expression,
A = [tex]\frac{240}{360}(\pi) (3)^{2}[/tex]
= [tex]\frac{240\times 9}{360}\pi[/tex]
= 6π
Therefore, A = 6π is the answer.
The volume of a cuboid, whose length and height are equal is 108 m3. If the breadth is 12 m, find the cuboid's length and surface area.
Answer:
Surface area = 162 m^2
Step-by-step explanation:
Below is the given values:
Length of cuboid = Height of cuboid
The volume of the cuboid = 108 m^3
The breadth of the cuboid = 12 m
Now use the volume formula:
Volume = area of one surface × height
Volume = (L x B) * H
(L x 12) * H = 108 (L = H)
L x 12 x L = 108
L^2 = 108/12
L = 3 m
Thus length and height is = 3m
Surface area = 2 (L x B + b x h + L x h)
Surface area = 2 (3 x 12 + 12 x 3 + 3x 3)
Surface area = 162 m^2
Estimate 3 pi to the nearest whole number
Answer:
When you round pi, which is equal to 3.14, to the nearest whole number, the answer is 3.
Step-by-step explanation:
π=3.1415926
π=3.14
nearest whole number=3
(cos2A−cos2B)2+(sin2A+sin2B)2=4sin2(A+B)
Answer:
[tex] {( \cos2A - \cos2B) }^{2} + {( \sin2A + \sin2 B }^{2}\\ = ( - 2\cos2A \cos2B + { \cos {}^{2} 2A } + \cos {}^{2} 2B) + (2 \sin2A \sin2B + \sin {}^{2} 2A + \sin {}^{2} 2B)\\ \\ { = - 2( \sin2A + \sin 2 B - \cos2 A - \cos2B) }\\ \\ { = - 2( - 4 \sin( A + B) \cos(A + B) } \\ \\ = {\tt{double \: angle \: of \: sine}}\\ \\ { = 2 \times 2(2 \sin (A + B) \cos(A + B)) }\\ \\ { = 4 \sin2(A + B)}[/tex]
Find the total surface area of this prism where the cross section is an isosceles triangle 5cm, 13cm, 24cm, 10cm
Answer: 620 cm2
Step-by-step explanation:
The base of the prism is a rectangle with 24 cm x 10 cm, so the base area is: B = 24 * 10 = 240 cm2
The cross section is a triangle with base = 24 cm and height = 5 cm, so its area is: C = 24 * 5 / 2 = 60 cm2
The sides are rectangles with 10 cm x 13 cm, so their area is: D = 10 * 13 = 130 cm2
The total surface area is: S = B + 2C + 2D = 240 + 2*60 + 2*130 = 620 cm2
Work out the volume of this cylinder. Give your answer rounded to the nearest whole number.
Answer:
31793 cm^3
Step-by-step explanation:
Equation
Volume = [tex]\pi[/tex] * r^2 * h
Givens
d = 2*r
d = 30
r = 15
h = 45
[tex]\pi[/tex] = 3.14
Solution
V = 3.14 * 15^2 * 45
V = 31793 rounded.
Find an equation for the line perpendicular to x= -3 and goes through the point (-9, -2)
Answer:
y = -2
Step-by-step explanation:
The line x = -3 is a vertical one; the slope of a line perpendicular to x = -3 is zero (0). Recall that the slope of a vertical line is undefined and that of a line perpendicular to a vertical line is 0.
Then, to write the equation of the perpendicular line, we borrow the '-2' from (-9, -2) and write y = -2. This line does indeed pass through (-9, -2) and every other point whose y-component is -2.
The equation of a linear function in point-slope form is y – y1 = m(x – x1). Harold correctly wrote the equation y = 3(x – 7) using a point and the slope. Which point did Harold use
Answer:
Coordinate of points = (7 , 0)
Step-by-step explanation:
Given:
Equation of slope;
y – y1 = m(x – x1)
Equation of slope;
y = 3(x – 7)
Find:
Coordinate of points
Computation:
By comparing
y - 0 = 3(x - 7)
So,
y1 = 0
m = 3
x1 = 7
Coordinate of points = (7 , 0)
Help plzz
Question given below
Un polígono regular está inscrito en una circunferencia. ¿Qué medida del polígono es igual al radio de la circunferencia?
Answer:
La medida del polígono que es igual al radio de la circunferencia es el segmento de recta comprendido entre el centro geométrico del polígono y cualquiera de sus vértices, cuyo nombre es también radio.
Step-by-step explanation:
La medida del polígono que es igual al radio de la circunferencia es el segmento de recta comprendido entre el centro geométrico del polígono y cualquiera de sus vértices, cuyo nombre es también radio.
Use the Distance Formula and the Pythagorean Theorem to find the distance, to the nearest tenth, from T(2, –2) to W(–7, 3).
Answer:
10.3 units
Step-by-step explanation:
coordinate points are
T(2, -2) =(x1 , y1)
W(-7, 3) =(x2 , y2)
distance formula = [tex]\sqrt{(x2 -x1)^2 + (y2 -y1)^2}[/tex]
=[tex]\sqrt{(-7-2)^2 + {3-(-2)}^2[/tex]
=[tex]\sqrt{(-9)^2 + (3+2)^2[/tex]
=[tex]\sqrt{81 + 5^2[/tex]
=[tex]\sqrt{81 + 25[/tex]
=[tex]\sqrt{106[/tex]
=10.29563014
=10.3 (after converting it to the nearest tenth)
HELP ITS 50points !
Answer:
x=2
Step-by-step explanation:
9-10x=2x+1-8x
+10x +10x
9=2x+1+2x
9=4x+1
-1 -1
8=4x
÷4 ÷4
x=2
Solve 5x2-2x-8=0 using the quadratic formula.
Answer:
[tex]x=\frac{1+\sqrt{41}}{5},\\x=\frac{1-\sqrt{41}}{5}[/tex]
Step-by-step explanation:
The quadratic formula states that the solutions for a quadratic is standard form [tex]ax^2+bx+c[/tex] are equal to [tex]x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex].
In [tex]5x^2-2x-8=0[/tex], we can assign the values:
[tex]a[/tex] of 5[tex]b[/tex] of -2[tex]c[/tex] of -8Thus, we have:
[tex]x=\frac{-(-2)\pm \sqrt{(-2)^2-4(5)(-8)}}{2(5)},\\x=\frac{2\pm \sqrt{164}}{10},\\\begin{cases}x=\frac{2+ \sqrt{164}}{10}, x=\frac{1}{5}+\frac{\sqrt{41}}{5}=\frac{1+\sqrt{41}}{5}\\x=\frac{2- \sqrt{164}}{10}, x=\frac{1}{5}-\frac{\sqrt{41}}{5}=\frac{1-\sqrt{41}}{5}\end{cases}[/tex]
Answer:
(1+√41)/5, (1-√41)/5
Step-by-step explanation:
quadratic formula is (-b±√(b^2-4ac))/2a
in this equation,
a = 5
b = -2
c = -8
plug in the values
(2±√(4 - 4(5)(-8))/10
(2±√(4 + 160)/10
(2±√(164)/10
(2±2√(41))/10
1. (2+2√41)/10
(1+√41)/5
2. (2-2√41)/10
(1-√41)/5
Please help thank you
Answer:
2.25 ft^2
Step-by-step explanation:
area of kite = half of the product of diagonals
A = (3 ft)(0.75 ft + 0.75 ft)/2
A = 2.25 ft^2
HELP!! Will give brainliest to anyone that helps
3.
4.
5 cm
4 cm
11 m
6 cm
Volume =
Volume =
Show all work!!
Answer:
3. 120
4. 1331
Step-by-step explanation:
Candace complete a 3.1 mile run in 22 1/2 minutes. At that pace, what is her unit rate, in minutes per mile? Round your answer to the nearest tenth.
3.1 x 22 1/2 = 69.75 rounded is 70
What is the combined weight of all the kittens ?pls help
Answer:
4 lbs
Step-by-step explanation:
1/4 x 4 =1
1/2 x 2= 1
3/8 + 3/8 + 5/8 + 5/8 =16/8
16/8 =2
1+1+2=4
What is the area of the given compound shape?
a) 69.8cm^2
b) 39.8cm^2
c) 49.6cm^2
Answer:
39.8 cm^2
Step-by-step explanation:
area of triangle
base = 5 cm
height = 12 cm
are of triangle = base *height / 2
=5*12/2
=60/2
30 cm^2
area of semi circle
diamtere = 5
radius = diameter/2
=5/2
=2.5
area of semi circle = πr^2/2
=3.14*2.5^2/2
=19.625/2
=9.8125 cm^2
are of the figure = are of triangle + area of semicircle
=30 + 9.8125 cm^2
=39.8125 cm^2
=39.8 cm^2 (after converting to the nearest tenth)
NEED HELP ASAP skajsjsjjajaja
Answer:
The answer is "3"
Step-by-step explanation:
[tex]\to f(7)=f(5 + 2)=1+f(5)\\\\\to f(5)=f(3+2)=1+f(3)\\\\\to f(3)=f(1+2)=1+f(1)=1+0=1\\\\[/tex]
Therefore
[tex]\to f(7)=1+f(5)=1+1+f(3)=2+1+f(1)=2+1+0=3[/tex]
Identify the equation of a line in slope-intercept form that is perpendicular to y = -1/3 x + 2 and passes through (2, 1).
Please explain your answer with steps. I will give brainliest to the proper answer.
can someone help?? thanks and no links pls
Answer:
x = 10
Step-by-step explanation:
The angles are vertical angles and vertical angles are equal
8(x-1) = 6(x+2)
Distribute
8x-8 = 6x+12
Subtract 6x from each side
8x-8 -6x = 6x+12-6x
2x-8 = 12
Add 8 to each side
2x-8+8 = 12+8
2x=20
Divide by 2
2x/2 = 20/2
x = 10
Answer:
x must be 10
Step-by-step explanation:
The two angles shown are "vertical angles" and are thus equal.
So 8(x - 1) = 6(x + 2), or (after carrying out the indicated multiplication):
8x - 8 = 6x + 12, or
2x = 20
Then x must be 10.
What is a two-column proof
Answer:
A two-column proof uses a table to present a logical argument and assigns each column to do one job, and then the two columns work in lock-step to take a reader from premise to conclusion.
Step-by-step explanation:
Basically in simple terms, one side is the statements, and the otherside is the reasoning