Answer:
Step-by-step explanation:
PLEASE WILL GIVE 50 POINTS PLEASE ANSWER
Answer:
AB = 75
BC = 60
AC = 45
m∠A = 53°
m∠B = 37°
m∠C = 90°
Step-by-step explanation:
Trigonometric ratios
[tex]\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}[/tex]
where:
[tex]\theta[/tex] is the angleO is the side opposite the angleA is the side adjacent the angleH is the hypotenuse (the side opposite the right angle)Given:
[tex]\sf \tan(A)=\dfrac{60}{45}[/tex]
Therefore:
side opposite angle A = BC = 60side adjacent angle A = AC = 45To find the length of AB (the hypotenuse), use Pythagoras’ Theorem:
[tex]a^2+b^2=c^2[/tex]
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
⇒ AC² + BC² = AB²
⇒ 45² + 60² = AB²
⇒ AB² = 5625
⇒ AB = √5625
⇒ AB = 75
To find m∠A:
[tex]\implies\sf \tan(A)=\dfrac{60}{45}[/tex]
[tex]\implies\sf A=\tan^{-1}\left(\dfrac{60}{45}\right)[/tex]
[tex]\implies\sf A=53^{\circ}\:(nearest\:degree)[/tex]
m∠C = 90° (as it is a right angle)
The interior angles of a triangle sum to 180°
⇒ m∠A + m∠B + m∠C = 180°
⇒ 53° + m∠B + 90° = 180°
⇒ m∠B = 180° - 53° - 90°
⇒ m∠B = 37°
PLEASE ANSWER AS SOON AS U Can
Answer: 3082.2
Step-by-step explanation:
Answer: 3,082.2 ft
Step-by-step explanation:
You must apply the formula for calculate the perimeter of a circle, which is:
P=πd where,
P is the perimeter of the circle. (P=9,687 ft)
d is the diameter of the circle.
When you solve for d, you get:
d = P/π
d = (9,687 ft)/(22/7)
d = 3,082.2 ft
Therefore, the answer is: 3,082.2 ft
helppp asapppppppppp
Answer:
put a point on the 9 (the line on the left of 10) and on the -6 (the line to the left of -5).
a. 9 is located to the right of -6
b. use the symbol >
Step-by-step explanation:
Please answer these questions for me
Answer:
Do reciprocal of that and diameter formula and when your answer will come me just do square multiple of that
help ya girl out real quick!! 50 points for rewardd!
Answer:
Slope is 1
Step-by-step explanation:
Slope=RISE/RUN
You can see the slope is constant. To clarify we can do an example.
So rise can be 2
And run is also 2
Change in y is equal to change in x
so 2/2=1
Hope it helps
Slope
m=y2-y1/x2-x1m=2-0/6-4m=2/2m=1evaluate |-7| + 3|4|
|-7| + 3|4|
7 + 12
19
hope it helps...!!!
Answer: Heyaa! ~
Your Answer Is 19, Which is C.
Step-by-step explanation:
The absolute value of a number is always positive, so |-7| is 7 and |4| is 4. 4 * 3 = 12 and 12 + 7 is 19.Order of operations:
PEMDAS
ParenthesisExponentMultiplyDivideAddSubtractHopefully this helps you! ^
Find each value or measure. Assume that segments that appear to be tangent are tangent.
Answer:
Step-by-step explanation:
13). ( x - 2 )( x + 6 ) = 9 × 20
x² + 4x - 12 = 180
x² + 4x - 192 = 0
( x - 12 )( x + 16 ) = 0
[tex]x_{1}[/tex] = - 16
[tex]x_{2}[/tex] = 12
14). ( x + 4 )[( x + 4 ) + 3x ] = 8 × ( 8 + 19 )
( x + 4 )( 4x + 4 ) = 216
4( x + 4 )( x + 1 ) = 216
( x + 4 )( x + 1 ) = 54
x² + 5x + 4 - 54 = 0
x² + 5x - 50 = 0
( x - 5 )( x + 10 ) = 0
[tex]x_{1}[/tex] = - 10
[tex]x_{2}[/tex] = 5
15). x( x + 16 ) = 15²
x² + 16x - 225 = 0
( x - 9 )( x + 25 ) = 0
[tex]x_{1}[/tex] = - 25
[tex]x_{2}[/tex] = 9
16). Now is your turn. You can do it!
The measurements are given in the solution below.
What is a circle?Circle definition states a shape that consists of points, in a two-dimensional plane, equidistant from a given point.
Given that the circles we need to find the given missing values,
Using the properties of the circles,
1) (x-2) (x+6) = 20 × 9
x² + 6x - 2x - 12 = 180
x² + 4x - 192 = 0
x = 12 or x = -16.
2) 8 × (8+19) = x+4 (x+4 + 3x)
216 = x + 4 × (4x + 4)
216 = 4x² + 4x + 16x + 16
4x² + 20x - 200 = 0
x² + 5x - 50 = 0
x = 5 or x = -10
3) 15² = 16x
x = 225/16
x = 14.06
4) (x+7)² = 18 × 14
x² + 49 + 14x = 252
x² + 14x - 203 = 0
x = 8.87
x = -22.87
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What is the slope of the line that passes through the points ( 1 , − 1 ) (1,−1) and ( − 8 , − 7 ) (−8,−7)? Write your answer in simplest form.
[tex](\stackrel{x_1}{1}~,~\stackrel{y_1}{-1})\qquad (\stackrel{x_2}{-8}~,~\stackrel{y_2}{-7}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-7}-\stackrel{y1}{(-1)}}}{\underset{run} {\underset{x_2}{-8}-\underset{x_1}{1}}}\implies \cfrac{-7+1}{-9}\implies \cfrac{-6}{-9}\implies \cfrac{-2}{-3}\implies \cfrac{2}{3}[/tex]
The slope of the line that passes through the points (1,−1) and (−8,−7) is m = 2/3.
What is the slope of a straight line?Slope tells how vertical a line is. The more the slope is, the more the line is vertical. When slope is zero, the line is horizontal.
Its slope would be: [tex]m = \dfrac{y-q}{x-p}[/tex]
Slope of parallel lines are same. Slopes of perpendicular lines are negative reciprocal of each other.
If a line passes through two points, then its slope can be calculated with the following :
[tex]m = \dfrac{y-q}{x-p}[/tex]
Plugging in our values, we get:
[tex]m = \dfrac{-7 + 1}{-8 - 1}[/tex]
Now, let's simplify our result:
[tex]m = \dfrac{-7 + 1}{-8 - 1}\\\\m = \dfrac{-6}{-9}[/tex]
m = 2/3
Therefore, the slope of the line that passes through the points (1,−1) and (−8,−7) is m = 2/3.
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HELP ASAP
PLEASE HELP what is the measuring
Answer:
Step-by-step explanation:
Remark
No wonder you are posting this. You should never have to rely on a diagram to get an answer, and this diagram is particularly unreliable. What exactly does the peak mean? Does it tell you that the peak is both y and 20 degrees? I'm going to assume so. But it is a very shakey assumption.
Pick a triangle with 2 ys in it. The third angle hits one of the sides of the triangle. Every triangle has 180 degrees. The top angle is 20 degrees and all ys therefor are 20 degrees. So the third angle is y + y + x =180
The 2xs are in a quadrilateral near the top. All quadrilaterals have 360 degrees. q and one of the angles are vertically opposite. q is then known.
Givens
y = 20
third angle = x
solution
triangles with 2 ys (isosceles)
y + y + x = 180
2y + x = 180
y = 20
2*20 + x = 180
40 + x = 180
x = 140
Quadrillateral
140 + 140 + 20 + vertically opposite q = 360
300 + vertically opposite q = 360
vertically opposite q = 360 - 300
vertically opposite q = 60
Answer
q = 60
The functions f(x) and g(x) are described using the following equation and table:
f(x) = −3(1.02)x
x g(x)
−1 −5
0 −3
1 −1
2 1
Which statement best compares the y-intercepts of f(x) and g(x)? (5 points)
Group of answer choices
The y-intercept of f(x) is equal to the y-intercept of g(x).
The y-intercept of f(x) is equal to 2 times the y-intercept of g(x).
The y-intercept of g(x) is equal to 2 times the y-intercept of f(x).
The y-intercept of g(x) is equal to 2 plus the y-intercept of f(x).
Answer:
A) The y-intercept of f(x) is equal to the y-intercept of g(x).Step-by-step explanation:
Given functions f(x) and g(x).
What is the y-intercept?The y-intercept is the output of the function with the input of zero.
In other words the y -intercept is:
f(0) for f(x) and g(0) for g(x)Let's determine the y-intercept of the given functions:
f(0) = - 3(1.02)⁰ = - 3(1) = - 3g(0) = - 3 according to tableWe see both functions have same y-intercept with the value of -3.
The matching answer choice is A.
A spinner is numbered from 1 through 10 with each number equally likely to occur. What is the probability of obtaining a number less than 4 or greater than 8 in a single spin?
Answer:
i believe its 5/10 or 1/2
Step-by-step explanation:
Find the missing value so
that the two points have a
slope of 2/7.
(-1,-1) and (x,1)
Answer:
x = 6
Step-by-step explanation:
Slope = (y(2) - y(1))/(x(2) - x(1))
(-1 - 1) / (-1 - x)
If the slope is 2/7, it would be (-2/-1-x, where x would have to be 6)
(-2)/(-7) = 2/7, so x = 6
Check:
(-1 - 1) / (-1 - 6)
(-2)/(-7)
2/7 (Correct :))
Hope it helps :D
One angle of a right triangle measures 24°. What is the measure of the other acute angle?
Answer:
66 °
Step-by-step explanation:
Given:
One angle of a right triangle measures 24°.
To Find:
What is the measure of the other acute angle?
Solve:
Note:
Total angles in a triangle 180 degree
Right Triangle ⇒ 90 degree
Let "x" be the measure of the other acute angle
90° + 24° + x = 360°
114° + x = 180°
x = 66°
Kavinsky~
A delivery truck drove 40 miles per hour. It took 2 hours to travel between two towns. What is the distance between the two towns
Answer:
80 miles
Step-by-step explanation:
40 miles per hour means you move 40 miles in one hour.
If it took 2 hours to travel between the two towns at 40 mph, multiply 40 by 2 and you get 80.
Hope this helps!
Answer:
your answer would be 80 miles
What is the exact value of tan 75?
Answer:
2 + √3.
Step-by-step explanation:
tan 75 = tan (45 + 30)
= (tan 45 + tan 30) / (1 - tan 45 tan 30)
= ( 1 + 1/√3) / (1 - 1*1/√3)
= (1 + √3) / √3 * √3 / (√3 - 1)
= √3 + 1/ √3 - 1
Multiply top and bottom by √3 + 1;
= (√3 + 1)(√3 + 1) / (√3 - 1)(√3 + 1)
= 3 + 2√3 + 1 / (3 - 1)
= (4 + 2√3) / 2
= 2 + √3.
What percent is equivalent to the fraction 7/10
Enter your answer in the box.
Answer:
70%
Step-by-step explanation:
Two Steps to Convert a Fraction to a Percent
Use division to convert the fraction to a decimal:
7/10 = 7 ÷ 10 = 0.7
Multiply by 100 to get the percent value:
0.7 × 100 = 70%
Therefore the answer is 70%.
À point has been translated left and down. Based on the graph, which could be true? Check all that apply.
Answer:
Step-by-step explanation:
B is the image of D
6 left
2 down
Answer: C (in choices)
B is the image E
6 down
5 left
Answer: D (in choices)
C is the image of D
1 left
2 down
Answer: F (in choices)
Given the following triangle:
В(2x+4)
A(2x-9)
Find the measure of angle A:
Find the measure of angle B:
Answer:
A=61, B=74
Step-by-step explanation:
Because all the angles in a triangle add up to 180:
(2x+4) + (2x-9) + x = 180
If you solve that for x, you will get that x=35. Now you just plug in x to the angles A and B.
What is the value represented by the letter E on the box plot of the data?
45, 45, 50, 55, 60, 65, 72, 75, 80, 80, 90
А
B.
с
D
E
Enter your answer in the box.
Answer:
E = 90
Step-by-step explanation:
E represents the maximum value in the data set , that is
E represents the value 90
Answer:
E is 90
Step-by-step explanation:
the end of the box and whisker plot is the last number in chronoligical order. So the one all the way on the right, e is 90
help me please help
Step-by-step explanation:
n + 34 = 34 + n
commutative means you can change the sequence of the parts without changing the overall result.
g × h = h × g
s + 0 = s
b × 1 = b
the identity property points are to show that adding 0 or multiplying by 1 does not change anything.
PLEASE HELP ME IM HONESTY SO CONFUSED WITH THE ANSWERS GIVEN
Answer:
C. The sum of 18 and half the product of 9 and 4.
Factor completely x2 - 6x2 – 5x + 30.
(x + 6)(x2 + 5)
(x - 6)(x2 + 5)
(x - 6)(x2 – 5)
(x + 1)(x2 - 5)
Step-by-step explanation:
−5x2−5x+30
=5(−x+2)(x+3)
Answer:
5(−x+2)(x+3)
Which choice is equal to 66
6
6
+ 66
6
6
+ 66
6
6
+ 36
3
6
+ 26
2
6
?
There are 11 1/8 picec that equals 1 3/8
good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.
Answer:
Part 1
Set B
Part 2
We can use the FOIL method to multiply these expressions:
[tex]\textsf{FOIL}: \quad(a+b)(c+d)=ac+ad+bc+bd[/tex]
However, as all the expression are in the format [tex](a+b)^2[/tex], we can use the shortcut: [tex](a+b)^2=a^2+2ab+b^2[/tex]
Part 3
Using the shortcut to find the products:
[tex]\begin{aligned}\implies (x+5)(x+5)& =(x+5)^2\\ & =x^2+2(x)(5)+5^2\\ & =x^2+10x+25\end{aligned}[/tex]
[tex]\begin{aligned}\implies (2x+9)(2x+9) & = (2x+9)^2\\ & = (2x)^2+2(2x)(9)+9^2\\ & = 4x^2+36x+81\end{aligned}[/tex]
[tex]\begin{aligned}\implies (x+1)^2 & = x^2+2(x)(1)+1^2\\ & = x^2+2x+1\end{aligned}[/tex]
Part 4
A new example of a multiplication problem based on the structure of Set B is: [tex](3x+2)(3x+2)[/tex]
[tex]\begin{aligned}\implies (3x+2)(3x+2) & = (3x+2)^2\\ & = (3x)^2+2(3x)(2)+2^2\\ & = 9x^2+12x+4\end{aligned}[/tex]
Part 5
An example of a multiplication problem that would NOT be included in Set B based on its structure is: [tex](x+2)(x-2)[/tex]
We cannot use the derived Set B shortcut (from part 2) to multiply this expression. Instead, we would have to use a different shortcut of "The Difference of Two Squares" to find the product of this example expression.
What is the value of x in the triangle?
2xº
25°
25°
Answer:
130 degrees
Step-by-step explanation:
2x+25+25=180
2x=130
Answer:
65°
Step-by-step explanation:
25+25+2x= 180(sum of all the angles of a triangle)
2x= 180-50
x=130/2= 65
a photograph measuring 8 cm by 10cm costs 440 naira. what will be the cost of an enlargement measuring 20cm by 25cm
Answer:
2750
Step-by-step explanation:
Remark
You have to assume that this can be solved by using a proportion. A proportion is 2 equal ratios. Three parts of the 2 ratios must be known and your job is to find the 4th one.
Equation
w*L/C1 = w1*L1 / x
Solution
w = 8
L = 10
w1 = 20
L1 = 25
C1 = 449
C2= x
Solution
8*10/440 = 20*25/x Combine
80/440 = 500 / x Cross Multiply
80x = 440*500 Combine
80x = 220000 Divide by 80
x = 220000/80
Answer
x = 2750
what is a solution of √7-2x+5=8
Answer: √7 / 2 - 3/2
Step-by-step explanation:
√7-2x+5=8
=> -2x + √7 = 3
=> x = √7 / 2 - 3/2
Find the probability of each event
Ashley is carrying ten pages of math
homework and three pages of English
homework. A gust of wind blows the
pages out of her hands and she is only able
to recover ten random pages. What is the
probability that she recovers all of her
math homework?
Answer:
Around 77%
Step-by-step explanation:
10/13 = 0.769
A spinner is divided into 4 equal sectors that are colored green, red, yellow, and blue. The number of times the spinner lands on each color is listed below. image Which statement best explains whether the results listed in the table should cause the probability model for the given situation to be questioned?
The probability of landing on the 4 spinners divided into four equal parts will be P=25%
What is probability?Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Here the spinner is divided into four parts of the colours green, red, yellow, and blue.So the number of the sample variable are:-
P(S)=[red,green,yellow,blue]=[4]
The favourable outcome is given as:-
F[s]=[1]
So the probability will be given by:-
P={1}÷{4}=0.25=0.25x 100=25\%
Hence the probability of landing on the 4 spinners divided into four equal parts will be P=25%
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Find the value of the variable x (2x+12) and 8x-18
Answer: Below
Step-by-step explanation:
Just mutiply x on both sides which gives you 2x^2 + 12x then you mutiply 2x^2 then subtract that number on both sides and it gives you x = something then you distribute it on 8(something) - 18 you subtract
Answer:
Step-by-step explanation:
Just mutiply x on both sides which gives you 2x^2 + 12x then you mutiply 2x^2 then subtract that number on both sides and it gives you x = something then you distribute it on 8(something) - 18 you subtract