Answer/Step-by-step explanation:
a. Given that 32° is the reference angle, thus:
Hypotenuse is the side opposite to the right angle
Opposite side is opposite to the defence angle = x
Adjacent side is adjacent to defence angle = 15 m
b. Recall SOHCAHTOA.
We know the length of the adjacent side. We are asked to find x, which is the opposite side. So, we are dealing with Opposite side and Adjacent side.
The trigonometric function we will use to find x would be TOA:
That is,
Tan θ = Opp/Adj
c. Applying TOA:
Tan θ = Opp/Adj
θ = 32°
Opp = x
Adj = 15 m
Plug in the values
Tan 32 = x/15
15 × Tan 32 = x
9.37304028 = x
x = 9.4 (nearest tenth)
PLS HELP ILL GIVE BRAINLEST!!!!!!!!
Answer:
pay back is so good!..
Step-by-step explanation:
Find the lateral area of this square
based pyramid.
10
ft
10 ft
[ ? jft?
Answer:
200
Step-by-step explanation:
happy to help
The lateral area of square based pyramid is 200 square feet
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
The given square base pyramid has four faces of triangles and one square shape base
The lateral surface area of pyramid formula 4 × (1/2)bl,
b = side length of the base, and
l = slant height
Lateral surface area =2 bl
=2×10×10
=200 square feet
Hence, the lateral area of square based pyramid is 200 square feet
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please answer and explain and i’ll give brainliest
Step-by-step explanation:
I really want to help you but there's no question.
Name the coordinates of P if P(0, 4) is rotated 180°
Answer:
P'(0, -4)
Step-by-step explanation:
when a coordinate (x, y) is rotated by 180 degrees, the resulting coordinate will be (-x, -y). Note that each coordinate is negated when rotated about 180 degrees
Given the coordinate P (0, 4). When rotated by 180 degrees, the resulting coordinate will be at P'(0, -4)
Determine the domain of the following graph:
12
11
10
8
6
5
2
-12-11-10 -2 -8 -7 -6 -5 -4 -3 -2 -1
1 2 3 4 5 6 7 8 9 10 11 12
-4
-9
-10
-11
-12
Answer: am not sure i know that one.
Step-by-step explanation:
A square stained-glass window has an area of 4 feet2 what is the perimeter of the window
How to find volume of a cylinder by using the same dimensions of a cone but only knowing the volume of the cone
Answer:
Multiply the volume of the cone by 3
Step-by-step explanation:
Required
Volume of a cylinder from a cone of the same dimension
The volume of a cone is:
[tex]V_1 = \frac{1}{3}\pi r^2h[/tex]
The volume of a cylinder is:
[tex]V_2 = \pi r^2h[/tex]
Recall that:
[tex]V_1 = \frac{1}{3}\pi r^2h[/tex]
Split:
[tex]V_1 = \frac{1}{3}*[\pi r^2h][/tex]
Substitute: [tex]V_2 = \pi r^2h[/tex]
[tex]V_1 = \frac{1}{3}*V_2[/tex]
Make V2 the subject
[tex]V_2 =3V_1[/tex]
This implies that, we simply multiply the volume of the cone by 3
***I WILL GIVE BRAINIEST TO THE CORRECT ANSWER**
Translate the description as an algebraic expression:
double the product of 15 and k
Answer:
2•15k
Step-by-step explanation:
Answer:
2(15k)
Step-by-step explanation:
PLZZ GIVE BRAINLIEST
The circle radius is 12 cm. Then the circle content is
PLEASE HEEEELP
What is the volume of a container with sides 1ft, 2ft, and 2.5 ft
Answer:
5ft^3
Step-by-step explanation:
The formula for volume is length × width × height.
so you multiply 1×2×2.5, which equals 5
Ariana has 99 oranges. She has to pack 9 boxes with an equal number of oranges. How many oranges should she pack in each box?
Answer:
11 oranges in each box
Step-by-step explanation:
99/9=11
Answer: 11 oranges in each box.
Step-by-step explanation:
Division is used to evenly separate totals into groups (total/#of groups= Quotient per group).
In this case, we divide the total, 99 oranges, by the amount of groups we want, which is 9 boxes, in order to find an even amount for each box from the total oranges.
So, 99/9= 11 oranges per box
there are 24 marbles in a bag: 2/16 of the marbles are red, 1/8 of the marbles are blue, 1/4 of the marbles are yellow, 1/3 of the marbles are black, 1/6 of the marbles are silver. how many of each type of marble is there?
Answer: 3 red marbles, 3 blue marbles, 6 yellow marbles, 8 black marbles, 4 silver marbles
Step-by-step explanation:
I know these are the correct number of marbles because I set up these numbers as fractions and solved for x.
For examples, 2/16 of the marbles are red. 2/16=x/24
You would do this because we are trying to find the number of marbles that are red out of the 24 marbles.
Next, we would do 24 divided by 16= 1.5 Then 1.5 times 2=3
You would follow this rule for each fraction of marbles in order to find the true number of marbles out of 24.
HELP ASAP!!! find the lines of symmetry. Select all that apply
Answer:
B. and D.
Step-by-step explanation:
If you folded that shape along the lines o and m, it would match up.
There are two lines of symmetry m and o. Options B and D are correct.
From the given figure we have to determine the axes of symmetries.
A line is a straight curve connecting two points or more showing the shortest distance between the initial and final points.
Here,
As of the given figure,
There are 2 axes of symmetry first line m and the other is line o.
Line l and line n are not symmetrical lines because the reflection of one portion will not be superimposed with the other.
Thus, there are two lines of symmetry m and o. Options B and D are correct.
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solve graphically this linear system of equations[tex]\left \{ {{x=3} \atop {y+1=0}} \right.[/tex]
Answer:
(3,-1)
Step-by-step explanation:
The given equations are :
x = 3 ..(1)
y+1 = 0 ....(2)
We need to solve the equations graphically. x = 3 means draw a line parallel to y axis.
For y+1=0
y = -1
Draw a line parallel to the negative x axis. The attached figure shows the graph for the given equations. The solution is (3,-1).
Yeah, I need help again. IM NOT GOOD AT MATH
Answer:
21
Step-by-step explanation:
7 * 3 =21
Which graph represents the function f(x) = 4|x|?
Answer:
A
Step-by-step explanation:
got it correct in edu
(+6) ÷ (+2) =
answer choices
+12
+8
+4
+3
-3
Answer:
+3
Step-by-step explanation:
(+6) ÷ (+2)
=6/2
Divide the numbers; 6/2=3
=3
Hope this helped!!!
30 in.
10 in.
10 in.
30 in.
20 in.
Find the area of the arrow above.
square inches
Answer: 45
Step-by-step explanation:
Simplify the expression completely.
i have now attached the picture but it can be wrong!
Arthur wrote that 15 – 14.7 = 3.
Use the drop-down menus to explain why 3 is incorrect.
the point is supposed to be in front of the three
.3
Answer:
the answer is 0.3
Step-by-step explanation:
I hoped this helped
Let f be a function having derivatives of all orders for allreal numbers. The third-degree Taylor polynomial for f about x=2 isgiven by
T(x) = 7-9(x-2)2-3(x-2)3
a. find f(2) and f '' (2).
b. Is there enough information given to determine wheather fhas a critical point at x = 2?
If not, explain why not.
If so, determine whether f(2) is a relative maximum, arelative minimum, or neither, and justify your answer.
c. Use T(x) to find an approximation for f(0). Is there enoughinformation given to determine whether f has a critical point atx=0?
If not, explain why not.
If so, determine whether f (0) is a relative maximum, arelative minimum, or neither, and justify your answer.
d. The fourth derivative of f satisfies the inequality for all x in the closed interval [0,2]. Use thelagrange error bound on the approximation to f (0) found in part(c) to explain why f (0) is negative.
Solution :
Given : [tex]$T(x)=7-9(x-2)^2-3(x-2)^3$[/tex]
a). f(2) = T(2) = 7
[tex]$\frac{f""(2)}{2!} =-9$[/tex] , so f''(2) = [tex]$-18$[/tex]
b). Yes, since f'(2) = T'(2) [tex]$=$[/tex] 0, [tex]$f$[/tex] does have the critical point at [tex]$x=2.$[/tex]
Since f''(2) = [tex]$-18$[/tex] < 0, [tex]$f(2)$[/tex] is relative maximum value.
c). [tex]$f(0)=T(0)=-5$[/tex]
It is also not possible for determining if [tex]$f$[/tex] has a critical point at x = 0 because [tex]$T(x)$[/tex] gives exact information only at [tex]$x=2.$[/tex]
d). The Lagrange [tex]$\text{error}$[/tex] bound [tex]$=\frac{6}{4!}|0-2|^4= 4$[/tex]
[tex]$f(0) \leq T(0)+4 = -1$[/tex]
Therefore, [tex]$f(0)$[/tex] is negative.
Please help Sammy buys light bulbs in pack of 8 for $20. The shipping cost is $10 regardless of the number of packs bought. Billy has only $120 to spend.
Answer:
5
Step-by-step explanation:
HELP PLEASEEEE IT WOULD HELP ME OUT A LOT
Answer:
Step-by-step explanation:
In a poll, students were asked to choose which of six colors was their favorite. The circle graph shows how the students answered. If students participated in the poll, how many chose Orange?
Answer:
1666.70
Step-by-step explanation: 10,000/6=1666.70
Find the distance between (5, -1) and (1,-5).
4 units I assume. that it is a very basic answer tho and I am not sure if a specific formula or lesson was supposed to be applied to that andwer
a cone has a height of 7ft and a radius 4ft. Which equation can find the volume of the cone?
PLEASE I ACTUALLY NEED HELP
Answer:
B
Step-by-step explanation:
equation for volume of a cone = [tex]V=\frac{1}{3}\pi r^2h[/tex]
plug in - [tex]V=\frac{1}{3} \pi (4)^2(7)[/tex]
Answer:
we have
volume of cone =1/3 πr²h=1/3×π×4²×7ft³
so
v=1/3 π(4²)(7)ft³
What does 5/9 + 1/3 equal to?
Answer:
= 5/9 + 1/3
=5/9 + 3/9
= 5+3/9
=8/9
What is the answer when you simplify it?[tex]7^{2} +2(\sqrt{81} +\sqrt{49} )[/tex]
3x + 2y = 4
X + 2y = -4
Notice the equations are NOT in slope-intercept form.
Rewrite them in slope intercept form y = mx + b.
A trap to catch fruit flies uses a cone in a jar. The cone is shown with a height of 10 centimeters (cm) and a radius of 6 centimeters (cm.)
a. What is the volume of the cone? Write your answer in terms of pi.
b. Explain why an answer in terms of pi is more accurate than an answer that uses 3.14 for pi.
Answer:
120 pi
Step-by-step explanation:
a. 1/3pi(6)^2(10)
just plug them into the calculator using pi.
b. pi is more accurate because you aren't round to 3.14. If you use 3.14 your answer will be rounded and not an exact number.
The volume of the cone is 120π.
Because 3.14 is an approximation to π which is accurate to about one twentieth of a percent.
What is the volume of the cone?The volume of the cone is;
[tex]\rm Volume \ of \ cone=\dfrac{1}{3}\pi r^2h\\\\Where \ r= radius , \ h = height[/tex]
A trap to catch fruit flies uses a cone in a jar.
The cone is shown with a height of 10 centimeters (cm) and a radius of 6 centimeters (cm.)
1. The volume of the cone is;
[tex]\rm Volume \ of \ cone=\dfrac{1}{3}\pi r^2h\\\\ Volume \ of \ cone=\dfrac{1}{3}\times \pi \times 6^2\times 10\\\\ Volume \ of \ cone=\dfrac{1}{3}\times \pi \times 36\times 10\\\\ Volume \ of \ cone=120\pi \\\\[/tex]
The volume of the cone is 120π.
2. Because 3.14 is an approximation to π which is accurate to about one twentieth of a percent.
If you are dealing with everyday physical measurements, this accuracy for π will likely exceed the accuracy of your measurement (such as your height to within a millimetre or four hundredths of an inch!). Hence a calculated answer would not be more accurate than if you simply used 3.14 or, just to be sure, 3.142.
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