Answers
Answer:
24
Step-by-step explanation:
cos(x) is just a trigonometric function. To find it on a right triangle, you take the "adjacent" side, which should be the side next to the angle x, and divide it by the hypotenuse.
In this case, the adjacent side is 12. We don't know the hypotenuse, but we can figure it out using the Pythagorean Theorem: [tex]\sqrt{9^{2}+12^{2}}[/tex] = [tex]\sqrt{225}[/tex] = 15. So, the hypotenuse is 15.
Thus, cos(x) = 12/15 = 4/5. We want 30 * cos(x), so we get: 30 * (4/5) = 24, and that is our answer.
Answer:
24
Step-by-step explanation:
From the mnemonic SOHCAHTOA you would know that cos x = adjacent/hypotenuse.
Adjacent side is given as 12, but we must calculate the hypotenuse.
For that we use Pythagoras.
hypotenuse = √(9²+12²) = 15
Now you can calculate
30×cos(x) = 30×12/15 = 24
Related Questions
Suppose integers a and b are even. Which expression MUST be even?
A) ab + 1
B) a + b + 1
C) 3(ab + 1)
D) 2(ab + 1)
E) a2 + b2 + 1
Answers
Answer:
D
Step-by-step explanation:
2 multiplying by any number even or odd=even number
Final answer:
The correct answer is D) 2(ab + 1), because multiplying an odd number (ab + 1) by 2 results in an even number.
Explanation:
The question asks which expression must be even if integers a and b are even. We know that the product of two even numbers is always even. Therefore, ab is even.
When we add 1 to an even number, the result is odd, so ab + 1 is odd. Multiplying by 3, as in option C, won't change the oddness, so 3(ab + 1) is also odd. The expression in option E, a2 + b2 + 1, will be odd for the same reason - the sum of even squares is even, and adding 1 makes it odd.
However, option D multiplies the odd number ab + 1 by 2, guaranteeing that the result is even regardless of the values of a and b since any number multiplied by 2 is even. Thus, the correct answer is D) 2(ab + 1).
Which angles are vertical angles and, therefore, congruent?
3 lines intersect to form 8 angles. From top left, clockwise, the angles are A, B, C, D, H, G, F, E.
Angle A and Angle D
Angle A and Angle G
Angle A and Angle E
Angle A and Angle F
Answers
Answer:
D
Step-by-step explanation:
Answer:
The answer is D: a and f
Step-by-step explanation:
Just did on edge :)
Paula designed a three-dimensional scale model of a department store. The volume of the scale model was 35 cubic feet. The ratio of the dimensions of the model to the dimensions of the store was 1:20. Determine the volume of the actual department store that Paula planned to build
Answers
Answer:
700 cubic feet
Step-by-step explanation:
Volume of scale model = 35 cubic feet
ratio of the dimensions of the model to the dimensions of the store was 1:20
Therefore
dimensions of the model/ dimensions of the store = 1/20
we know that in scaling
dimensions of the model/ dimensions of the store = Volume of scale model / volume of the actual department store
Now substituting the value of scale model in the above ratio equation we have
1/20 = 35/volume of the actual department store
=> volume of the actual department store = 35*20 = 700
Therefore volume of the actual department store is 700 cubic feet
Dales dog eats 0.4 kilograms of dog food each day. How much food will Dale’s dog eat in 7 days
Answers
Answer: 2.8 kilograms
Step-by-step explanation: To find the how much food Dale's dog eats in a week, multiply 0.4*7. 0.4*7=2.8.
The answer is 2.8.
Help quick thanks plz tanks
Answers
Answer:
3 meters must be drained off so that the water levels falls to 5 meters.
Step-by-step explanation:
Look at all the measurements given and try to find one that matches the amount of room needed to be drained out.
What is X equal to in the equation
Answers
Answer:
x=10
Step-by-step explanation:
8x+30=110
8x+30-30=110-30
8x=80
8x/8=80/8
x=10
hope this helps
please mark me brainliest it would help(✿◠‿◠)
Answer:
10 =8
Step-by-step explanation:
The two angles are vertical angles and we know that vertical angles are equal
110 = 8x +30
Subtract 30 from each side
110-30 = 8x+30-30
80 = 8x
Divide each side by 8
80/8 = 8x/8
10 =8
Given the sequence in the table below, determine the sigma notation of the sum for term 4 through term 15. n an 1 5 2 −10 3 20
Answers
Answer:
The answer to this would be 662.
Step-by-step explanation:
Sigma notation calls for the sum of the terms in the sequence.
Answer:
15
∑ 5(-2)^n-1
n =4
Step-by-step explanation:
15 and n = 4 should be on top (15) and below (n = 4) of the ∑
hope this helps :]
tell me if there's is a outlier in these numbers please
20,24,58,59,63,63,65,66
Answers
Answer:
the outlier is 20 and 24
Step-by-step explanation: An outlier, in mathematics, statistics and information technology, is a specific data point that falls outside the range of probability for a data set. In this Case 20 and 24 are outliers because they are not in the range of 58, 59, 63, 63, 65, 66. :) your welcome.
inverse cosine is used to find to find a given angle measure when we know the ________ and the ______.
Answers
Answer: adjacent and hypotenuse
Step-by-step explanation: Cos theta is adjacent/Hypotenuse
Final answer:
Inverse cosine is used to find an angle measure when we know the length of the adjacent side and the hypotenuse in a right triangle.
Explanation:
The inverse cosine function, also known as arccosine, is used to find a given angle measure when we know the length of the side adjacent to the angle and the length of the hypotenuse of a right triangle. The cosine of an angle in a right triangle is defined as the ratio of the length of the adjacent side to the length of the hypotenuse. By using the inverse cosine function, we can find the angle whose cosine is the given ratio. This is particularly useful in trigonometry for solving right triangles or when dealing with any scenario where angle and side lengths are related through the cosine ratio.
In mathematical terms, if we have a right triangle with an angle labeled as θ (theta), and we know the lengths of the side adjacent to θ (adjacent) and the hypotenuse (hypotenuse), the cosine of θ is given by-
cos(θ) = adjacent / hypotenuse
To find the angle measure θ based on the ratio of these two sides, we would compute-
θ = arc cos(adjacent / hypotenuse).
Select the expression equal to square root of 24
Answers
look at the attached picture⤴
Hope it will help u...
Final answer:
To express the square root of 24 in simplest radical form, we break down 24 into 4 and 6, and since 4 is a perfect square, the simplified expression is 2√6.
Explanation:
To find the expression equal to the square root of 24, we can simplify the square root by looking for perfect square factors within 24. The number 24 can be factored into 4 and 6, where 4 is a perfect square. Therefore, we have:
√24 = √(4 × 6)√24 = √4 × √6√24 = 2√6As a result, the simplified expression equal to the square root of 24 is 2√6.
What is the range of the data represented in the box plot below?
Group of answer choices
10
20
30
15
Answers
Answer:
30
Step-by-step explanation:
40- 10 equals 30
the range is the maximum divided by the minimum.
How is 10,021 divisible by 11
Answers
Answer:
See below
Step-by-step explanation:
1-0+0-2+1=0, so since 0/11=0, it's divisible by 11
The rule for divisibility by 11 is that you subtract then add then subtract then add and so on, and if you get a number divisible by 11 or equal to 0, then it's divisible by 11.
Hope that made sense.
Answer:
=911 i think that its only dividable and you have to use your mind to do it
answer it is 911
here are the scores that Jenna has received on her seven quizzes what is the upper quartile
Answers
The polynomial p(x) = x3 + 3x2 - 4 has a known factor of (1 - 1).
Rewrite p(x) as a product of linear factors.
Answers
Answer:
34
Step-by-step explanation:
the length of AB ( the minor arc) is 20cm. what is the circumference of C? 10
A)200 cm
B)56 cm
C)720 cm
D)72 cm
E)360 cm
F)12 cm
Answers
Answer:
c. 720 cm
Step-by-step explanation:
there is no solution to the equation cscx=-1 . True or False
Answers
Answer:
false
Step-by-step explanation:
this has one answer and that would be 270 degrees.
A sprinkler head is equidistant from flower garden A and a small shrub B. The sprinkler waters in a
circular pattern. If the length of minor arc AB is 12 feet and the radius of the circle is 10 feet, find the
measure of the central angle subtended by minor arc AB, to the nearest degree.
Answers
Answer:
[tex]69^{\circ}[/tex]
Step-by-step explanation:
We are given that
Length of minor arc AB=12 feet
Radius of circle=r=10 feet
Let x be the measure of central angle subtended by minor arc AB.
We know that
Length of an arc=[tex]\frac{Central\;angle}{360}\times 2\pi r[/tex]
Where [tex]\pi=3.14[/tex]
Using the formula
[tex]12=\frac{x}{360}\times 2\times 3.14\times 10[/tex]
[tex]x=\frac{12\times 360}{2\times 3.14\times 10}[/tex]
[tex]x=69^{\circ}[/tex]
Which is the reflection line for the transformation
shown?
x-axis
y-axis
x = -2
y = -2
Answers
Answer:
y= -2
Step-by-step explanation:
Answer:
y = -2
Step-by-step explanation:
brad put 10 crickets in his pet lizards cage.after one day brad's lizard had eaten 20% of the crickets.how many crickets were left in the of the second day? cage at the end
Answers
Answer:
8 crickets
Step-by-step explanation:
since 20% is in percent form, if you convert it to a whole number, it is 2. That means that Brad's lizard ate 2 crickets and there are 8 left.
what unit of measurement do you measure the length of a living room?
Answers
Answer:
ft
Step-by-step explanation:
just the most common
area
i would say feet, so it could be like ''the room is 45 feet long'' or something
The sum of -4 and 5 times a number is multiplied by 3. The result is 212 less than 7 times the number. What is the number?
Answers
Answer:
-25
Step-by-step explanation:
(-4 + 5n) × 3= 7n - 212
-12 + 15n = 7n - 212
8n = -200
n = -25
Answer:
The number is -25
Step-by-step explanation:
(-4 +5n)*3 = 7n-212
Distribute
-12 +15n = 7n -212
Subtract 7n from each side
-12 +15n-7n = 7n-7n -212
-12 +8n = -212
Add 12 to each side
-12+12 +8n = -212+12
8n = -200
Divide each side by 8
8n/8 = -200 /8
n =-25
Compute the following: Subscript 325 Baseline C Subscript 1 a. 325 b. 324 c. 1 d. 326
Answers
Answer:
325
Step-by-step explanation:
What is the correct answer to the equation
Answers
Answer:
right answer is 8cm
Step-by-step explanation:
if QM=x
so. Om=32+x
ON=64+16=80
(32+x)/x=80/16
32+x=5x
4x=32
x=8
Example 1: Find the lateral area of the regular rectangular pyramid.
5 cm
Step 1: Identify the base. Draw it to help find the perimeter of it.
2.5 cm
"regular rectangular" means
all sides are
P= 4(2.5cm) =
cm
2.5 cm
Step 2: Identify the slant height of the pyramid, height of the lateral face of the pyramid.
I=
cm
Step 3: Substitute "P" and "l' into the lateral area formula.
L=P7
Answers
Answer:
the answer should be 2.5
To find the lateral area of the given rectangular pyramid, calculate the perimeter of the base, determine the slant height using the Pythagorean theorem, and then apply the lateral area formula. The lateral area is approximately 45.4 cm².
To find the lateral area of a regular rectangular pyramid with base edge length 2.5 cm and height 9 cm, follow these steps:
Identify the base: The base is a square with each side measuring 2.5 cm. The perimeter (P) of the base can be calculated as follows:P = 4 × 2.5 cm = 10 cmIdentify the slant height (l): Use the Pythagorean theorem to find the slant height. Given that the height of the pyramid is 9 cm, and half of the base edge length is 1.25 cm, we can use:
l² = 9² + 1.25²
l² = 81 + 1.5625
l = √82.5625
l ≈ 9.08 cmSubstitute P and l into the lateral area formula: The lateral area (L) formula for a pyramid is:
L = ½ × P × l
L = ½ × 10 cm × 9.08 cm
L ≈ 45.4 cm²
Thus, the lateral area of the pyramid is approximately 45.4 cm².
Find the value of x then find the measure of each labeled angle
Answers
Answer:
The answer is the last choice, x=70 and the labeled angles are 110 and 70
What is the measure of ABC?
A. 45°
O B. 60°
O c. 120
O D. 75
Answers
Answer:
It is gonna be B not very sure
Answer:
b.60
Step-by-step explanation:
Three friends ate lunch at a restaurant. Their friend Reggie arrived late
and only ordered a glass of juice. The total bill was $39.50 before taxes.
Reggie paid $2 for his juice, and the others divided the remaining
amount equally. How much did each of Reggie's three friends pay?
Answers
~Good luck!
Find the focus and directrix of the parabola y = 1/2(x+1)2 + 4.
C A) Focus: (1,41/2); Directrix: y = 31/2
C B) Focus: (-1,41/2); Directrix: y= 31/2
C C) Focus: (1,31/2); Directrix: y = 41/2
CD) Focus: (-1,31/2); Directrix: y = 41/2
Answers
Answer is B! Correct on exam!
Step-by-step explanation:
1. Identify the values for a, h, and k: a= 1/2 h= -1 k= 4. (Remember that the sign of h changes!)
2. Determine vertex: (-1,4)
3. Determine x and y for focus: X= -1 (same as vertex) y= K + 1/4(a)
Substitute what we know into that formula: y= 4 + 1/4(1/2)
y= 4 + 1/2 so y= 4 1/2.
4. Determine directrix: y= k - 1/4(a) ]
Substitute in what we know: y= 4 - 1/4(1/2)
y= 4-1/2 so y= 3 1/2
The focus and directrix of the parabola are (-1, 9/2) and y=7/2 respectively.
The given function is y = 1/2(x+1)² + 4.
We need to find the focus and directrix of the parabola.
What are focus and directrix?A parabola is a set of all points in a plane which are an equal distance away from a given point and given line. The point is called the focus of the parabola and the line is called the directrix. The focus lies on the axis of symmetry of the parabola.
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Up
Directrix: Use the vertex form to find the directrix
y=7/2
Focus: Use the vertex form to find the focus.
(-1, 9/2)
Axis of symmetry: x=-1
The coordinates to plot the graph are as follows:
(-3, 6), (-2, 9/2), (-1, 4), (0, 9/2) and (1, 6).
Therefore, the focus and directrix of the parabola are (-1, 9/2) and y=7/2 respectively.
To learn more about the parabola visit:
https://brainly.com/question/21685473.
#SPJ2
you have a bag containing five purple marbles three yellow marbles to red marbles and four blue marbles you pull one more wall what is the probability that you will pull a yellow marble give your answer in a fraction.
Answers
Answer:
3/14
Step-by-step explanation:
5+3+2+4=14....
3 yellow
When you are multiplying, does the order of the factor matters??
Answers
Answer:
no
Step-by-step explanation:
communitive propery unless there are ( )
If it is only multiplication, no it does not, but you should always go from left to right.