Answer:
m∠B ≈ 41.81°
Step-by-step explanation:
If we draw a picture, it would help a lot. Once we visualize the triangle, we can see that we have sin∅ = 2/3. So, plugging into your calc,
sin∅ = 2/3
∅ = sin^-1(2/3)
∅ = 41.8103
28. Find the area of the triangle ABD in the diagram below.
Answer:
A = 60 cm²
Step-by-step explanation:
Finding BC using Pythagorean Theorem:
=> [tex]c^2= a^2+b^2[/tex]
=> [tex]13^2 = a^2+5^2[/tex]
=> 169-25 = [tex]a^2[/tex]
=> [tex]a^2[/tex] = 144
Taking sqrt on both sides
=> BC = 12
So,
BC = CD = 12
=> BD = BC+CD
=> BD = 12+12
=> BD = 24
Now, The area:
=> Area of a Triangle = [tex]\frac{1}{2} (Base)(Height)[/tex]
Where BASE = 24, HEIGHT = 5
=> A = 1/2(5)(24)
=> A = 1/2(120)
=> A = 60 cm²
Step-by-step explanation IN triangle abc,
AC² = AB² + BC² (Phythogoras theorem)
13² = 5² + BC²
169 - 25 = BC²
144 = BC²
BC² = 144
BC = 12 (APPLAYING SQAURE ROOT)
Then in triangle ADC,
AD² = AC² + CD²
AD² = 13² + 12² (CD = BD - BC)
AD² = 169 + 144
AD = 17cm (aprox.)
Therefore area of triangle abd = 1/2× length × side = 1/2× 5 ×24 = 5 × 12 = 60cm
which of the following equations describe the line shown below? check all that apply!
Answer:
B and E are the correct answers.
Step-by-step explanation:
By using the slope formula of y₂₋y₁ / x₂₋x₁ you can find out that the slope is ₋7/4.
Next pick a point to put into point-slope form.
Point-slope form is y₋y₁ = m(x₋x₁) where y₁ and x₁ are a point on the graph and m is the slope.
Substitute both points into the formula (separately) to get B and E as your answers.
Hope this helps!
whats the difference between a sequence and a series?
Answer:
A sequence is defined as an arrangement of numbers in a particular order. On the other hand a series is defiend as the sum of the elements of a sequence!
write the missing numbers
4,7,5,_,6,9,_,10
Answer:
8 and 12
Step-by-step explanation:
find a pattern: +3, -2
the missing numbers are 8 and 12
Answer:
The numbers missing are 8 and 7.
Step-by-step explanation:
First you need to find a pattern in the numbers. You will notice that the pattern is add 3, subtract two. This is because, to get from 4 to 7, you add three, and to get from 7 to 5, you subtract 2.
When you apply that pattern, you find the missing numbers.
5(+3)=8, then 8(-2)=6, then 6(+3)=9, then 9-2=7, then 7(+3)=10
I hope this helps :)
Brainliest for whoever gets this right !!!
Answer :
[tex](x1 \: \: y1) = ( - 2 \: - 5) \\ (x2 \: \: y2) = (10 \: \: 7)[/tex]
I hope it helps :)
Eleven plus forty-one is divided by a number. If the result is 13, what's the number?
Answer:
4
Step-by-step explanation:
Let the number be x.
(11+41)/x = 13
52/x = 13
13x = 52
x = 52/13
x = 4
The number, if Eleven plus forty-one is divided by a number, and the result is 13, is 4.
What is division?It is the basic arithmetic operation, in which you are separating the number into some parts.
Given:
Eleven plus forty-one is divided by a number, and the result is 13,
Assume the number is x,
Write the equation as shown below,
11 + 41 / x = 13
52 / x = 13
x = 52 / 13
x = 4
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2 Points
Which rule should be applied to reflect f(x) = x2 over the yaxis?
A. Switch the variables x and y in the equation
B. Multiply f(x) by -1.
C. Substitute -x for x and simplify f(-x)
O D. Multiply f(y) by -1.
SUBMIT
Answer:
Option C. Substitute -x for x and simplify f(-x)
Step-by-step explanation:
The rule for reflection over y axis is:
Substitute -x for x and simplify f(-x)
What is Transformation?A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.
Given:
While reflecting a point with coordinates as (x, y), over y axis, the rule followed is
(x, y) = (-x, y)
The given function is,
f(x) = x²
So, reflecting it over y axis, we have to replace x with -x
(x, f(x)) = (-x , f(x))
So, the new reflected function is
f(-x) = -x²
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Solve for b
117
63
27
160
Answer:
27
Step-by-step explanation:
180-153=b
b=27
Answer:
B) 27
Step-by-step explanation:
Because 153 and b are a linear pair, their angle measures must add up to 180 degrees. Therefore:
153+b=180
b=180-153
b=27
Hope this helps!
Answer the following: What is the area of the circle? (Will give brainliest)
Answer:
A = 25pi
Step-by-step explanation:
The area of a circle is given by
A = pi r^2
The radius is 5
A = pi 5^2
A = 25pi
SOMEONE PLEASE HELP ME ASAP PLEASE!!!
Answer:
-15,20
Step-by-step explanation:
I do not know how to explain how I did it lol :) , but I am very sure that it is correct.
I hope this help you :)
Answer:
-15, 20
Explanation:
To solve this problem we must first understand what the pattern is in the sequence. Once we understand the pattern, we can then apply it to the final known term to find the next two terms.
Take a look at the sequence given:
5, -5, 10, -10, 15,...
Let's start by figuring out how they got the second term in the sequence. To do that, identify what basic operation and number must be applied. This will reveal the pattern.
5 - first term
-5 - second term
5 ? ? = -5
5 × -1 = -5
So, this means the sequence multiplied negative one by the first term to get the second term. Therefore, the pattern should be 'multiply negative one' to get the next term. Just to be sure the pattern we found is correct, apply it to the given sequence.
5, -5, 10, -10, 15,...
5 × -1 = -5 [correct; provides the next term]
-5 × -1 = 5 [incorrect; does not provide the next term]
10 × -1 = -10 [correct; provides the next term]
-10 × -1 = 10 [incorrect; does not provide the next term]
According to the calculations shown above, the pattern we have identified ('multiply negative one') only works on every other term. Therefore, we must figure out the rest of the pattern for the remaining terms. To do that, identify what basic operation and number must be applied.
-5 - second term
10 - third term
-5 ? ? = 10
-5 × -2 = 10
So, this means the sequence multiplies negative two every other term. Therefore, the pattern should be:
multiply by negative one, multiply by negative two
However, to be sure the pattern we have identified is correct, apply it to the sequence.
5 × -1 = -5 [correct; provides the next term]
-5 × -2 = 10 [correct; provides the next term]
10 × -1 = -10 [correct; provides the next term]
-10 × -2 = 15 [correct; provides the next term]
Now that we have identified the correct pattern, let's apply it to the last term to find the next two terms.
5, -5, 10, -10, 15....
15 × -1 = -15
-15 × -2 = 20
Therefore, the next two terms in the sequence is -15, 20.
John goes running every morning. He can run 3 miles in 1 hour. How many miles would he be able to run in 1 and ½ hours? A. 4.5 miles B. 2 miles C. 6 miles D. 10 miles
Answer:
2
Step-by-step explanation:
well less than 3
Answer:
A
Step-by-step explanation:
The easiest way to do this problem is to find out how far he can go in 1/2 hour.
If he goes 3 miles in 1 hour
he will go 3/2 miles in 1/2 hour
=============
Now just add this onto the distance travelled in 1 hour.
3 + 3/2 = 3 + 1.5 = 4.5
The answer is A
The answer can be obtained another (perhaps better ) way.
Set up a proportion
1 hour gives 3 miles
1.5 hours gives x
1/1.5 = 3/x Cross multiply
1*x = 1.5 * 3 Combine
x = 4.5 miles
A professional singer charges $1000 an hour. Her rate increases by 50% after midnight. If she performs one night from 8:30pm to 1:00am, how much will she be paid? .
Answer:
$5000
Step-by-step explanation:
Hours until midnight = 3 1/2
Hours until 1am = 1
3 1/2 x 1000 = 3500 = $3500
1 = ( 1000 x 0.50 = 500 (+1000) ) = 1500= $1500
3500+1500 = $5000
Can someone help me please.
A table has an area of 12 ft^2 and a perimeter of 16 ft. What are the dimensions of the table?
Answer:
2 and 6
Step-by-step explanation:
Well if the are is 12ft^2 and the perimeter is 16 ft then the length is 6 ft and the width is 2 ft.
So 6+6+2+2=16
6*2 is 12
Answer:
Step-by-step explanation:
hello,
we can assume that the table is a rectangle
so let's note x , y its length and width, we can write
(1 ) 2(x+y)=16
(2) xy=12
x and y are different from 0 and from (2) we can write
y =12/x we replace it in (1)
x+12/x=16/2=8
[tex]<=> x^2+12=8x\\<=> x^2-8x+12 = 0\\<=> x^2 -2x-6x+12=0\\<=> x(x-2)-6(x-2)=0\\<=> (x-6)(x-2)=0\\<=> x = 6 \ \ or \ \ x=2[/tex]
for x = 6 y = 2
for x = 2 y = 6
so the dimensions of the table is 2ft x 6ft
hope this helps
Which right triangular prism has the greatest volume? A triangular prism. The triangular base has a base of 7 meters and height of 9 meters. The height of the prism is 6 meters. A triangular prism. The triangular base has a base of 6 meters and height of 13 meters. The height of the prism is 5 meters. A triangular prism. The triangular base has a base of 11 meters and height of 8 meters. The height of the prism is 8 meters. A triangular prism. The triangular base has a base of 10 meters and height of 9 meters. The height of the prism is 8 meters.
Answer: The correct answer is option 4;
A triangular prism. The triangular base has a base of 10 metres and a height of 9 metres. The height of the prism is 8 metres.
Step-by-step explanation: A simple check for the result of each set of dimensions would give the correct answer.
The volume of a right triangular prism is derived as follows;
Volume = 1/2 * b * h * l
Where, b is the base of the triangle, h is the vertical height of the triangle and l is the length of the prism.
Note that the area of the right triangle is denoted by 1/2 * b * h, and multiplying this result by the length of the prism gives the entire depth or volume of the triangular prism. Let us examine the dimensions one after the other;
(1) A triangular prism. The triangular base has a base of 7 metres and height of 9 metres. The height of the prism is 6 metres.
Volume = 1/2 * 7 * 9 * 6
Volume = 189 cubic metres
(2) A triangular prism. The triangular base has a base of 6 metres and height of 13 metres. The height of the prism is 5 metres.
Volume = 1/2 * 6 * 13 * 5
Volume = 165 cubic metres
(3) A triangular prism. The triangular base has a base of 11 metres and a height of 8 metres. The height of the prism is 8 metres.
Volume = 1/2 * 11 * 8 * 8
Volume = 352 cubic metres
(4) A triangular prism. The triangular base has a base of 10 metres and a height of 9 metres. The height of the prism is 8 metres.
Volume = 1/2 * 10 * 9 * 8
Volume = 360 cubic metres
Answer:
2
Step-by-step explanation:
48. A map is drawn to a scale of 1cm to represent 50km. if the actual distance between two villages is 480km, what is
the distance on the map?
A. 4.8cm B. 5.0cm C. 9.6cm
D. 48.0cm E. 2400.0cm
Answer:
C. 9.6 cm
Step-by-step explanation:
This is all about unit rate. In this scenario the unit rate is 50/1 and for 480 km that fraction would be 480/x so we could either do cross multiplication or divide across the numerator and denominators. Let's divide. 480/50 is equal to 9.6. Seeing as that is what helped us get from numerator a to numerator b we would then multiply that in our denominators. So, 1*9.6 is equal to 9.6 so the amount of cm for 480 km is 9.6 cm.
Help ASAP please Graph the line that has a x-intercept of -5 and a y-intercept -2 what is the slope of the line
Answer:
Slope: -2/5
Step-by-step explanation:
To find slope, use: [tex]m = \frac{y2-y1}{x2-x1}[/tex]
Twenty-five patients were seen in the emergency room yesterday. The number of
clinical laboratory and X-ray procedures performed on each patient were recorded
as: 5, 3, 7, 4, 6, 7, 2, 1, 4, 6, 3, 3, 2, 2, 5, 7, 4, 5, 3, 6, 2, 1, 4, 3,5. Calculate:
Mean (arithmetic) number of lab and X-ray procedures per patient.
Answer:
the mean (average) is 4
Step-by-step explanation:
add all the numbers together (100) and then divide by the number of patients (25).
Generate a frequency table for the following data: 3, 12, 25, 2, 3, 6, 17, 17, 15, 13, 20, 12, 21, 18, 19
Use the ranges listed in the table below:
Range Number of Values
1 - 5
6 - 10
11 - 15
16 - 20
21 - 25
What value should be placed in the second column for the range 6-10?
a. 1
b. 5
c. 2
d. 3
Answer:
A. 1
Step-by-step explain
You put the number in order and it will be only the 6 from the 6-10.
The value that should be placed in the second column for the range 6-10 is 1. Thus, the correct option is A.
What is the frequency?The frequency is the number of times an event happens. Therefore, frequency is the number of repetition of a digit or an event.
For the given data set 3, 12, 25, 2, 3, 6, 17, 17, 15, 13, 20, 12, 21, 18, 19. The frequency table can be made as,
1 - 5 ⇒ 3
6 - 10 ⇒ 1
11 - 15 ⇒ 4
16 - 20 ⇒ 5
21 - 25 ⇒ 2
Hence, the value that should be placed in the second column for the range 6-10 is 1. Thus, the correct option is A.
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PLEASE ANSWER ASAP
10 POINTS!!!!!!!
Answer:
Range { -8,-3,5,7}
Step-by-step explanation:
The range of the function is the output values
Range { -8,-3,5,7}
Answer:
D
Step-by-step explanation:
8, -3, 5, 7
List of all possible outputs
Can you help me please?
Answer:
30 comedy DVDs
35 Action DVDs
5 Horror DVDs
Step-by-step explanation:
Total Parts of the ratio are = 6+7+1 = 14 parts
Now Finding:
1) Comedy:
=> [tex]\frac{6}{14} * 70[/tex]
=> 6 * 5
=> 30 comedy DVDs
2) Action:
=> [tex]\frac{7}{14} * 70[/tex]
=> 7 * 5
=> 35 Action DVDs
3) Horror:
=> [tex]\frac{1}{14} * 70[/tex]
=> 1*5
=> 5 Horror DVDs
Find the measure of each marked angle.
X degree= ? Degree
(X+50) Degree =? Degree
(180-3x) Degree =? Degree
(Simplify your answers. Type an integer or a fraction.)
Answer:
x degrees = 50 degrees.
x + 50 degrees = 50 + 50 = 100 degrees
(180 - 3x) degrees = (180 - 3*50) = 30 degrees.
Step-by-step explanation:
In a triangle, the sum of all inside angles must be 180 degrees.
In this question:
The inside angles are: x, x + 50 and 180 - 3x.
Then
x + x + 50 + 180 - 3x = 180
2x - 3x = -50
x = 50
So
x degrees = 50 degrees.
x + 50 degrees = 50 + 50 = 100 degrees
(180 - 3x) degrees = (180 - 3*50) = 30 degrees.
A quadratic of the form -2x^2 + bx + c has roots of x = 3 + sqrt5 and x = 3 - sqrt5. The graph of y = -2x^2 + bx + c is a parabola. Find the vertex of this parabola.
Answer:
Just saying that there are links people post that scam you and this is requird by Brainly
Step-by-step explanation:
Match the expression to the simplified form
Answer:
[tex]2^{5}[/tex]= 32
[tex]5^{-2}[/tex]= 1/25
[tex]5^{3}[/tex]=125
[tex]2^{-4}[/tex]=1/16
i hope this helps, the reason there are fraction is because of the negative exponent. To solve those you need to find the normal answer(with no negative exponent) and put it over 1. Doing that switches it to a positive response(needed).
Answer: The answers are in the steps.
Step-by-step explanation:
[tex]2^{5}[/tex] = 2*2* 2 *2 *2 = 32
[tex]5^{-2}[/tex] = [tex]\frac{1}{5*5}[/tex]= [tex]\frac{1}{25}[/tex]
[tex]5^{3}[/tex] = 5 * 5 *5 = 125
[tex]2^{-4}[/tex] = [tex]\frac{1}{2*2*2*2} = \frac{1}{16}[/tex]
2^5 → 32
5^-2 → 1/25
5^3 → 125
2^-4 → 1/16
In a bag with 3 red chips, 2 yellow chips, and 1 green chip, what is the probability of getting NO yellow chips on the first 2 tries? A. 1/3 B. 2/3 C. 2/5 D. 3/5
Answer:
B.
Step-by-step explanation:
total chips = 6
chips not including yellow= 4
simplify 4/6 = 2/3
Change 95 millimeters to centimeters.
Answer:
9.5 cm
Explanation:
Work Shown:
10 millimeters = 1 centimeter
1 millimeter = 0.1 centimeter (divide both sides by 10)
95 millimeters = 9.5 centimeters (multiply both sides by 95)
0.8 divided by 0.2 equals?
Answer:
4
Step-by-step explanation:
Someone please help I'll mark you Brainliest answer
Answer:
y = 2x - 1
Step-by-step explanation:
So we can use the formula Y2 - Y1 / X2 - X1
So 7- 3 = 4 and 4 - 2 is 2 and 4/2 is 2 so the slope is 2.
If we keep using the slope we can tell that the y intercept is 1.
What does an individual’s effective tax rate indicate?
A.
the average income earned
B.
the average tax rate
C.
the minimum tax rate
D.
the next year’s tax rate
Answer:
the answer is B
Step-by-step explanation:
100 on the plato test
Answer:
A. the average income earned
B. the average tax rate
C. the minimum tax rate
D. the next year's tax rate
Step-by-step explanation:
Plato Users
If one pair of opposite sides of a quadrilateral is both congruent and __________, then the quadrilateral is a parallelogram. ANSWERS: A) increasing B) perpendicular C) decreasing D) parallel
Answer:
I think it’s parallel
Step-by-step explanation:
Correct me if this is wrong
Answer:
plz mark me brainliest
Step-by-step explanation:
parallel is the answer confirmed
proof: A parallelogram is a quadrilateral with both pairs of opposite sides parallel. THEOREM: If a quadrilateral has 2 sets of opposite sides congruent, then it is a parallelogram. THEOREM: If a quadrilateral has 2 sets of opposite angles congruent, then it is a parallelogram.
hope it halps