Answers
Answer:
62°
Step-by-step explanation:
We use the fact that the ratio of the sides of the triangle to the angles opposite them is given by the Law of Sines:
"In any triangle, the ratio of a side length to the sine of its opposite angle
is the same for all three sides"
[tex]\frac{a}{sinA} = \frac{b}{sinb} =\frac{c}{sinC}[/tex]
where A is the is the angle opposite side a, B the angle opposite to side b, C is the angle opposite to side c
For the given triangle we get
44/sin90 = 39/sin?
sin90 is 1 so we get 44/1 = 39/sin?
or cross-multiplying,
sin? = 39/44 = 0.886363..
? = sin⁻¹ (0.886363) = 62.42° ≈ 62° answer
Answer:
? ≈ 62°
Step-by-step explanation:
using the sine ratio in the right triangle
sin? = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{39}{44}[/tex] , then
? = [tex]sin^{-1}[/tex] ( [tex]\frac{39}{44}[/tex] ) ≈ 62° ( to the nearest degree )
Related Questions
A survey was conducted for school students in a city to find out the
favorite games of the students .49000 students were participated in the
survey. It was found that 2
7
of the students liked football, 4
7
of the students
liked cricket and the rest liked hockey.
Read the passage carefully and answer the following questions:
i) How many students liked football?
a) 14000 b) 28000 c) 7000 d) 9000
ii) How many students liked cricket?
a) 4000 b) 28000 c) 7000 d) 10000
iii) What fraction of the students liked hockey?
a)3
7
b) 1
7
c) 2
7
d) 6
7
iv) How many more students liked football than hockey?
a) 6000 b) 5000 c) 14000 d) 7000
Answers
7
What do you mean by this?
Rimshot has 2 tv sets. the area of the smaller screen is 40% of the area of the larger screen. if the larger screen measures 27 in by 36 in what is the area of the smaller screen?
anyone is here
Answers
Area of larger :- length× width
[tex]27 \times 36 = 972 {in}^{2} [/tex]
Area of the smaller screen= 40% of larger area
[tex] area = \frac{40}{100} \times 972 \\ area = \frac{4 \times 972}{10} \\ area = \frac{3888}{10 } = 388.8 {in}^{2} [/tex]
URGENT HELP!!!
Factorise x²+12x+180
With middle term splitting method, or factorising by grouping
Answers
The quadratic expression cannot be factorized, because the discriminant is less than 0
How to factorize the expression?The expression is given as:
x²+12x+180
Calculate the discriminant of the expresison using:
D = B² - 4AC
So, we have:
D = 12² - 4* 1 * 180
Evaluate
D = -576
Because the discriminant is less than 0, then the expression cannot be factorized
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Laura wants 3 scoops of ice cream. She can choose from vanilla, chocolate, mint, raspberry,
blueberry, and coee avors. How many combinations of 3 scoops of ice cream can Laura choose
from? Show your work and explain whether or not this is a scenario in which repetition is allowed.
Answers
The number of the combinations of 3 scoops of ice cream can Laura choose will be 20.
What are permutation and combination?A permutation is an act of putting things or elements in the right sequence. Combinations are a method of picking things or pieces from a collection of objects or sets when the sequence of the objects is irrelevant.
Laura wants 3 scoops of ice cream.
She can choose from vanilla, chocolate, mint, raspberry, blueberry, and coffee flavors.
Then the number of the combinations of 3 scoops of ice cream can Laura choose will be given as
→ ⁿCₐ
The total number of the flavor will be
n = 6
Then the number of the chosen flavor will be
a = 3
Then we have
→ ⁶C₃
→ 20
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Rachel found that 20 out of 48 cars that entered a parking lot were red. What is the experimental probability that the next car that comes in is red? What is the experimental probability that the next car that comes in is not red?
Answers
In the observation of Rachel the experimental probability of the next car which comes in is red is 5/12 and the experimental probability of the next car which comes in is not red is 7/12.
What is experimental probability?Experimental probability of an event is the ratio of number of favorable outcome which appeared while conducting an event to the total number of outcome of that event is occurred.
Rachel found that 20 out of 48 cars that entered a parking lot were red. In this observation, the probability of a car to be red is,
[tex]P=\dfrac{20}{48}\\P=\dfrac{5}{12}[/tex]
Thus, the experimental probability that the next car that comes in is red is 5/12.
The experimental probability that the next car that comes in is not red is,
[tex]P^{-1}=1-\dfrac{5}{12}\\P^{-1}=\dfrac{12-5}{12}\\P^{-1}=\dfrac{7}{12}[/tex]
Hence, In the observation of Rachel, the experimental probability of the next car which comes in is red is 5/12 and the experimental probability of the next car which comes in is not red is 7/12.
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Question 1 GIVING BRAINLIESTT!!!!!!!!
Answers
Midpoint formula is M= ((X1+X2)/2), ((Y1+Y2)/2)
So it becomes ((-4+1)/2), ((9+1)/2)= (-1.5,5)
2. 20+(5 X 2/5 )+ 3 please answer with process not just answer thanks
Answers
Answer:
[tex]25 \: or \: {5}^{2} [/tex]
Step-by-step explanation:
Simplify It
[tex]20 + 2 + 3[/tex]
Then calculate it.
[tex]20 + 2 + 3 = 25[/tex]
Answer:
25
Step-by-step explanation:
Given:
20+(5 × 2/5 )+ 3
Solve:
Using the PEMDAS
Which is:
P- Parentheses
E- Exponents
M- Multiplication
D- Division
A- Addition
S- Subtraction
Thus we have:
20+(5 × 2/5 )+ 3 {5 × 2/5 = 2}
= 20 + 2 + 3
= 22 + 3
= 25
Kavinsky
PLS HELP!! I THIS IS WORTH 200 PTS!! I WILL MARK BRAINIEST WHEN SOMEONE ANSWERS FIRST
Answers
Expression: 5z² - 2z + 1 = 0
Discriminant formula: b²- 4ac
Identify: a = 5, b = -2, c = 1
Solve for discriminant: (-2)²- 4(5)(1) = 4 - 20 = -16
15)1st equation: 1m - 1p = 2p = 1 also can be rewritten as 2nd equation: 0m + 1p = 1
Build Augment Matrices by taking coefficient's:
[tex]\left[\begin{array}{ccc}1&-1&|| \ \ 2\\0&1&|| \ \ 1\end{array}\right][/tex]
Solve:
Add row 2 to row 1 : R₁ = R₁ + R₂ and restore it back
[tex]\rightarrow \ \left[\begin{array}{ccc}1+0&-1+1& \ \ \ \ || \ 2+1\\0&1&|| \ \ 1\end{array}\right][/tex]
[tex]\rightarrow \ \left[\begin{array}{ccc}1&0& || \ \ 3\\0&1&|| \ \ 1\end{array}\right] \ \ \ = The \quad reduced \quad matrix[/tex]
Solution = (m, p) = (3, 1)
Answer:
14. -16
15. m = 3 and p = 1
Step-by-step explanation:
Question 14Discriminant
[tex]b^2-4ac\quad\textsf{when}\quad ax^2+bx+c=0[/tex]
Given equation: [tex]5z^2-2z+1=0[/tex]
Therefore:
a = 5b = -2c = 1Substituting the values into the discriminant:
[tex]\begin{aligned}\implies b^2-4ac & = (-2)^2-4(5)(1)\\& = 4-20\\& = -16\end{aligned}[/tex]
As the discriminant is negative, this implies there are no real roots.
Question 15Augmented Matrices
[tex]\begin{array}{c}ax+by=p \\cx+dy=q\end{array} \implies \left[\begin{array}{r r | r}a & b & p \\ c & d & q\end{array}\right][/tex]
Use elementary row operations to convert into:
[tex]\left[\begin{array}{r r | r}1 & 0 & h \\ 0 & 1 & k\end{array}\right] \implies \begin{array}{r}x=h\\y=k\end{array}[/tex]
Given:
[tex]\begin{aligned}m-p & =2\\ p & = 1\end{aligned} \implies \left[\begin{array}{r r | r}1 & -1 & 2 \\ 0 & 1 & 1\end{array}\right][/tex]
[tex]\left[\begin{array}{r r | r}1 & -1 & 2 \\ 0 & 1 & 1\end{array}\right] \begin{array}{c}R_1 + R_2 \rightarrow R_1 \\\rightarrow\end{array} \left[\begin{array}{r r | r}1 & 0 & 3 \\ 0 & 1 & 1\end{array}\right][/tex]
Therefore:
[tex]m=3[/tex]
[tex]p=1[/tex]
7x+8=4x+4 please work this out and give your fraction an a improper fraction and simplest form
Answers
Answer:
x= -4/3
Step-by-step explanation:
Steps
7x +8 = 4X + 4
Subtract 8 from both sides
7x+ 8-8= 4x + 4-8
Simplify
7x=4x-4
Subtract 4x from both sides
7x-4x=4x-4-4x
Simplify
3X = -4
Divide both sides by 3
3X/3 = -4/3
Simplify
x= -4/3
Answer:
Step-by-step explanation:
Solution
7x+8=4x+4 Subtract 4x from both sides
7x - 4x + 8 = 4 Combine
3x + 8 = 4 Subtract 8 from both sides
3x + 8 - 8 = 4 - 8 Combine
3x = - 4 Divide by 3
3x/3 = -4/3
Answer: x = -4/3
Which quadrilateral always has diagonals that are congruent but not necessarily perpendicular.
Answers
Step-by-step explanation:
a trapezoid.
the 2 sides on the left and the right are equal (congruent), and so are the diagonals.
but these diagonals are usually not perpendicular (perpendicular = intersecting each other at 90°).
17 Jim buys a wardrobe for £30.
He sells it for £44.
Work out Jim's percentage profit.
Give your answer to 1 decimal place.
Answers
Answer:
46.7
Step-by-step explanation:
Sp-Cp
$44-$30=$14
14/Cp x 100
= 14/30 x 100=46.66%
Ans= 46.7%
Proof
% x CP
46.66/100 x $30= $13.998
$13.998= SP-CP
Hope it helps
Jim's got profit percentage is 46.67%
What is profit percentage?Profit percentage is refer to "the amount of profit that has been incurred in terms of percentage".
According to the question,
Jim buys a wardrobe for £30 which is cost price of wardrobe and he sells £44.
In order to find profit percentage we have to use formula.
Profit percentage = [tex]\frac{selling price - cost price }{cost price}[/tex] × 100
= [tex]\frac{(44-30)}{30}[/tex] × 100
= [tex]\frac{14}{30}[/tex] × 100
= 46.6667% ≈ 47%
Hence, Jim's got profit percentage is 46.67%.
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products of powers formula
Answers
The products of powers formula when multiplying a number having exponents is suggest that in the multiplication of a number with different powers, the power are added.
What is products of power formula?The products of powers formula is used to find the product of two exponent numbers.
It is difficult to solve the problem of product in which number has the different exponents or power. The product of power formula is solved this issue.The product of power formula tells that when the number is multiplied by itself with different exponent, then the power are added in this multiplication keeping the number same.The products of powers formula when multiplying a number having exponents can be given as,
[tex]a^m\times a^n=a^{(m+n)}[/tex]
Here, (a,m and n) are the number real numbers. In this formula, m and n is the power of the common number a.
Hence, the products of powers formula when multiplying a number having exponents is suggest that in the multiplication of a number with different powers, the power are added.
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In the figure, ABCD is a cyclic quadrilateral in which AC and BD are its diagonals. If ∠DBC = 55° and ∠BAC 45°, Find ∠BCD.
Answers
Given,
ABCD is a cyclic quadrilateral in which AC and BD are its diagonals.
[tex] \: \: \: \: \: \: \: \: \: \: \: \:[/tex]
[tex] \sf∠DBC= 55° and ∠BAC = 45°[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \:[/tex]
[tex] \sf∠CAD = ∠DBC= 55° (Angles \: in \: the \: same \: segment)[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \:[/tex]
Thus,
[tex] \sf∠DAB=∠CAD + ∠BAC[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \:[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \sf= 55° + 45° [/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \:[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \sf= 100°[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \:[/tex]
We know that the opposite angles of a cyclic quadrilateral are supplimentary.
[tex] \: \: \: \: \: \: \: \: \: \: \: \:[/tex]
[tex] \sf ∠DAB +∠BCD = 180°[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \:[/tex]
[tex] \sf∠BCD = 180°-100° =80°[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \:[/tex]
[tex] \pink{\boxed{\sf{∠BCD = 80°}}}[/tex]
Answer:
∠BCD = 80°
Step-by-step explanation:
Given -ABCD is a cyclic Quadrilateral.
∠DBC = 55°
∠BAC = 45°
To find -∠BDC
Solution..BC is a segment and angles of same segment are equal.=> ∠BAC = ∠BDC
=> 45° = ∠BAC { Angles of same segment BC}
In Triangle BCD
=> ∠BDC + ∠DBS + ∠BCD = 180°
=> 45° + 55° + ∠BCD = 180°
=> 100° + ∠BDC = 180°
=> ∠BDC = 180-100
=> 80° ans.
11 pts and brainiest
(08.05)
Which of the following ordered pairs represents the solution to the system given below? (4 points)
x - 4y = 7
5x + y = 6
(3,-1)
(3,1)
(1,-3)
(-1,-3)
Answers
Answer:
[tex]x = 1.48 \: and \: y = - 1.38[/tex]
Step-by-step explanation:
[tex]first \: equation[/tex]
[tex]x - 4y = 7[/tex]
[tex]second \: equation[/tex]
[tex]5x + y = 6[/tex]
[tex]from \: equation \: 1 \\ make \: x \: the \: subject \: of \: formula \\ x = 7 + 4y[/tex]
[tex]x =7 + 4y \: {equation \: 3}[/tex]
[tex]substitutefor \: x \: in \: equation \: 2[/tex]
[tex]5x + y = 6 \\ 5(7 + 4y) + y = 6 \\ 35 + 20y + y = 6 \\ 35 + 21y = 6 \\ 21 y = 6 - 35 \\ 21y = - 29 \\ [/tex]
[tex]y = \frac{ - 29}{21} [/tex]
[tex]y = - 1.38[/tex]
[tex]subsitute \: for \: y \: into \: equation \: 3[/tex]
[tex]x = 7 + 4y \\ x = 7 + 4( - 1.38) \\ x = 7 - 5.52 \\ x = 1.48[/tex]
Solve for x in the equation below.
Round your answer to the nearest hundredth.
Do not round any intermediate computations.
x-6 = 7
e
Answers
Answer:
x=13
Step-by-step explanation:
I need this done fast please
Answers
hope this helps :)
............
Graph a line to represent the linear equation y=54x−4.
Answers
Answer:
yes it represents it because the linear equation
A salesperson earns a commission of $589 for selling $3100 in merchandise. Find the commission rate. Write your answer as a percentage.
Answers
Answer:
19 %
Step-by-step explanation:
589 is what percetage of 3100?
589 / 3100 * 100 % = 19%
Answer:
19%
Step-by-step explanation:
589 = x% of 3100?
589 / 3100 * x/100= 19%
Hopefully this helped you, and have a good day!
4. What is the area of the circle below?
3m
Answers
Answer:
[tex]\pi * 9[/tex] or 28.28
Step-by-step explanation:
With the equation of [tex]A = \pi * r^2[/tex], We find that the r - (radius) = 3, so it would be [tex]\pi *3^2\\[/tex] or [tex]\pi * 9[/tex]
Hope This Helps!
Find the perimeter of the region.
41 in.
T
11 in.
T
11 in. >
I
1
I
- 41 in.-
Answers
Answer:
18 region
Step-by-step explanation:
step 1. 11+11+1=23
step 2. 23-41= -18 region
What does the correlation coefficient of a function tell us about the model?
Answers
Answer:
the correlation coefficients is a statistical calculation
that used to examine the relationships between two sets of data.
Step-by-step explanation Hope this helps :)
Define relation in math
Answers
Answer:
A relation between two sets is a collection of ordered pairs containing one object from each set. If the object x is from the first set and the object y is from the second set, then the objects are said to be related if the ordered pair (x,y) is in the relation.
Step-by-step explanation:
The radius of the base of a cylinder is 16 cm. The height of the cylinder is 27 cm. Find the surface area and volume of the cylinder.
Answers
Answer:
Step-by-step explanation:
SA/Surface area of cylinder=2πrh+2πr^2
SA=2xπx16x27 + 2xπx16^2
SA=864π + 512π
SA=1376π
OR
SA=4322.83 to 2.d.p
Can somebody help me find the area of this composite shape
Answers
Alone, this shape cannot have the area solved in one step. So, you must break it up into multiple pieces.
For this, we can break it up into a rectangle, and a right triangle.
The area formula for a rectangle is [tex]area = l*w[/tex]
The area formula for a right triangle is [tex]area = \frac{1}2} b*h[/tex]
To find the area of the rectangle, multiply 14 * 18 = 252 m^2
To find the length of the triangle, subtract 20 - 14 = 6
To find the height of the triangle, subtract 18 - 11 = 7
So, it is [tex]\frac{1}{2} 6*7[/tex] = 21 m^2
21 + 252 = 273 meters squared
Hope this helps, feel free to ask any questions
- Jeron :)
Can someone help! I know the answer I just need step by step!
Answers
Answer:
[tex]4 \sqrt{2}[/tex]
Step-by-step explanation:
Rewrite 32 as the product of 16 and 2:
[tex]\implies \sqrt{32}=\sqrt{16 \cdot 2[/tex]
Apply exponent rule [tex]\sqrt{a \cdot b}=\sqrt{a}\sqrt{b}[/tex]
[tex]\implies \sqrt{16 \cdot 2}=\sqrt{16}\sqrt{2}[/tex]
Rewrite 16 as 4²:
[tex]\implies \sqrt{16}\sqrt{2}=\sqrt{4^2}\sqrt{2}[/tex]
Apply exponent rule [tex]\sqrt{a^2}=a[/tex]
[tex]\implies \sqrt{4^2}\sqrt{2}=4 \sqrt{2}[/tex]
Answer:
4[tex]\sqrt{2}[/tex]
Step-by-step explanation:
using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]
[tex]\sqrt{32}[/tex]
= [tex]\sqrt{16(2)}[/tex]
= [tex]\sqrt{16}[/tex] × [tex]\sqrt{2}[/tex]
= 4[tex]\sqrt{2}[/tex]
Find h(j+1) if h(x)=4x² + 3x - 2
Answers
Answer:
h(j+1) = 4j² +11j +5
Step-by-step explanation:
A function is evaluated for a specific argument by substituting that argument for the variable in the function's expression. Then the expression is simplified.
__
For function ...
h(x) = 4x² +3x -2
The value of h(j+1) is ...
[tex]h(j+1)=4(j+1)^2 +3(j+1)-2\\\\= (4(j+1)+3)(j+1)-2=(4j+7)(j+1)-2=4j^2+11j+7-2\\\\\boxed{h(j+1)=4j^2+11j+5}[/tex]
A stone pyramid in Egypt has a square base that measures 154 m on each side. The height is 91 m. What is
the volume of the pyramid?
Answers
Answer:
14014
Step-by-step explanation:
base of stone pyramid=154
height=91
b×h
154×91=4014
If sis equal to 16,c is equal to 14m and b is equal to 19m ,find the angles of 5he triangle ABC with following work steps
Answers
Answer:
Below in bold.
Step-by-step explanation:
a = 16, b = 19 and c = 14.
By the Cosine Rule:
cos A = (a^2 - b^2 - c^2) / -2bc, so:
cos A = ( 16^2 - 19^2 - 14^2) / (-2*19*14)
= -301 / - 532
= 0.565789
m < A = 55.54 degrees.
Now Using the Sine Rule:
a / sin A = b / sin B
16 / sin 55.54 = 19/sin B
sin B = 19 * sin 55.54 / 16
= 15.666 / 16
= 0.979125
m < B = 78.27 degrees.
Finally
m < C = 180 - 55.54 - 78.27 = 46.19 degrees.
A student randomly draws a number between 1 and 30. What is the probability that the number drawn is less than 18
Answers
Answer:
25%
Step-by-step explanation:
i have a feeling
A group of friends were working on a student film. They spent $504 on props, which was 42% of their total budget. What was the total budget for their student film?