Instructions: Find the missing side. Round your answer to the nearest tenth.
28°
х
23
Answers
Answer:
x=49.0
Step-by-step explanation:
Hi there!
In this right triangle, we're given an angle and the opposing side, and we're trying to solve for the length of the hypotenuse.
In this situation, we can use the sine ratio:
[tex]sin\theta=\frac{opp}{hyp}[/tex]
Plug in the known information
[tex]sin(28)=\frac{23}{x}\\x=\frac{23}{sin(28)}\\x=49.0[/tex]
Therefore, the length of the missing side is 49.0 units when rounded to the nearest tenth.
I hope this helps!
Related Questions
10. A rectangle whose length is twice its width has a diagonal equal to one side of a given square. The ratio of the area of the rectangle to the area of the square is
Answers
Answer:
2/5
Step-by-step explanation:
First, we can draw the rectangle out, as shown. The length is twice the width, and the diagonal, y, cuts across the rectangle. This forms a right triangle, and using the Pythagorean Theorem, we can say that
y² = x² + (2x)²
y² = x² + 4x²
y² = 5x²
square root both sides
y=√(5x²)
The diagonal, or y, is equal to √(5x²). This is equal to one side of the square
The area for the rectangle, which we need to find for the ratio, is length * width = x * 2x = 2x²
The area for the square, which we also need to find for the ratio, is (side length)² = √(5x²) = 5x²
The ratio for the area of the rectangle to the area of the square is therefore 2x²/5x² = 2/5 (crossing out the x² in both the numerator and the denominator). We know to put the rectangle on top because of the specific wording of "the ratio of the area of the rectangle to..."
If Q = 5+2i, E = i, and D = 5-2i, find Q.E.D
Answers
Answer:
Q.D.E=(5+2i).(5-2i).i = (25-4i²)i = 25i-4i³
Step-by-step explanation:
The second hand on a clock is
8 cm long.
What is the distance the tip of the second hand travels in 10 minutes?
Answers
Answer:
8.37 cm rounded
Step-by-step explanation:
C = 2π r
C = 2π (8)
C = 16 π
C = 50.24
1/6 ( 50.24)= 8.37
using trig solve for the missing angle
Answers
Answer:
The answer is 26.4
Write the ratio:
0.15
to
0.6
as a fraction in lowest terms.
Answers
Answer:
The ratio 15 : 60 can be reduced to lowest terms by dividing both terms by the GCF = 15 :
15 : 60 = 1 : 4
basically 1/4
Step-by-step explanation:
ahmed is sitting on a dock watching a float plane in a harbour. At a certain time, the plane is 350 m above the water and 470 m from Ahmed. Determine the angle of elevation of the plane measured from Ahmed, to the nearest degree
Answers
Answer:
The angle of elevation of the plane measured from Ahmed is approximately 36.67°
Step-by-step explanation:
The given parameters of the float plane are;
The height of the float plane above the water, y = 350 m
The horizontal distance of the float plane from Ahmed, x = 470 m
Given that Ahmed is sitting on the dock, by the water, by trigonometric ratios, we have;
The height of the float plane, the distance of the plane from Ahmed and the line of sight forming the angle of elevation of the plane measured from Ahmed, form a right triangle
[tex]tan\angle X = \dfrac{Opposite \ leg \ length}{Adjacent \ Leg\ length}[/tex]
Therefore
[tex]tan(\theta) = \dfrac{y}{x}[/tex]
Where;
θ = The angle of elevation of the plane measured from Ahmed
y = The leg of the right triangle opposite the reference angle
x = The leg of the right adjacent to reference angle
Therefore;
θ = arctan(y/x) which gives;
θ = arctan(350/470) ≈ 36.67°
The angle of elevation of the plane measured from Ahmed, θ ≈ 36.67°.
6. The right triangles ABC and DEF
are similar. The hypotenuse of ABC
measures 12 cm and the hypotenuse
of DEF measures 24 cm. If one of
the legs of ABC measures 9 cm,
what does the corresponding leg
of DEF measure?
A 4.5 cm
B 18 cm
Answers
Answer:
B. 18 cm
Step-by-step explanation:
24 / 12 = 2.
9 x 2 = 18 cm.
Hope this helps!
Which expression is equivalent to
8x^7y^8? Assume x>0.
Answers
Answer:
2x^3y^3Sqrt2 is the expression
Which of the following is a statement? (a) The fishes are beautiful (b) Study mathematics. (c) x is a capital of country y. (d) Water is essential for health.
Answers
Answer:
its letter a
Step-by-step explanation:
I hope you help
ANSWER ASAP ILL MARK BRAINLIEST!!! if the vertex of a parabola is (-1,-9) what is the equation of the axis of symmetry?
Answers
Answer:
x = -1
Step-by-step explanation:
the equation of the axis of symetry =>
x = -1
We have to find,
The equation of the axis of symmetry.
The answer will be,
→ x = -1
Therefore, this is the equation.
If a rectangle has a length of 10 and an area of 50 Units squared what is the perimeter
Answers
Answer:
The perimeter is 10+10+5+5, or 30.
Step-by-step explanation:
The formula to find area is A=LW. Since the area is 50, we can assume that the width is 5, because 10x5=50. The perimeter is made up of the sides of a rectangle, or L+L+W+W. This is 10+10+5+5.
Step 1: Find width
Before we can find the perimeter, we must first determine the width. We are told that the length is 10, and the area is 50. To find the width, let’s write an equation. We can do so by remembering that the area is equal to the length and width.
a= l × w
50= 10 × w
Now that we have an equation, we can solve. Let’s do so by isolating w. To do so, divide each side by 10.
50= 10 × w
5= w
Step 2: Find perimeter
We now know the width. Let’s use our knowledge to find the perimeter. We can begin by writing the formula for the perimeter, and substituting each factor to find out answer. Remember that the perimeter is all of the sides added together.
p= L+L+w+w
p= 2L+2w
p= 2(10)+2(5)
p= 20+10
p= 30
Hope this helps! Comment below for more questions.
please help!! i have no idea!
Answers
Answer:
θ = 60.34
Step-by-step explanation:
[tex]\frac{\left(12.8\cdot \:sin\left(90\right)\right)}{sin\left(52.3\right)}[/tex] = 16.177
[tex]\frac{\left(16.177\cdot \:sin\left(90\right)\right)}{18.6}[/tex] = θ = .869
[tex]arcsin\left(.869\right)[/tex] = 60.34
Answer:
60.4°
Step-by-step explanation:
There are two right triangles.
One right triangle (on the left side) has an acute angle measuring 52.3°.
Its opposite leg measures 12.8 cm.
We can find the length of its hypotenuse, x.
sin 52.3° = opp/hyp
sin 52.3° = 12.8 cm/x
x * sin 52.3° = 12.8 cm
x = 12.8 cm/sin 52.3°
x = 16.2 cm
Now we use the hypotenuse of the left side triangle which is a leg of the right side triangle.
For the right side triangle, we are looking for angle Θ. We know the opposite leg, 16.2 cm and the hypotenuse, 18.6 cm.
sin Θ = opp/hyp
sin Θ = 16.2/18.6
sin Θ = 0.8698
Θ = sin^-1 0.8698
Θ = 60.4°
(4 x 10 ^ 7) ÷ (8 x 10 ^ 4) in standard form PLZ ANSWER QUICK
Answers
Answer:
4.67×10
4
=4.67×10000=46700
[tex]4.67 \times {10}^{4} [/tex]
[tex] = \: 4.67 \times 1000[/tex]
[tex] = \: 46700[/tex]
What is the area of trapezoid DEFG with coordinates D (4, 3), E (4, 0), F (2, 1), and G (2, 3)?
10 square units
5 square units
3 square units
2 square units
Answers
The area of the trapezoid is 10 square units
How to find the area of a trapezoid?The formula for finding the area of the trapezoid is expressed as:
A = 0.5(a+b)h
where:
a and b are the sides
h is the height
Given the following
a = 3
b = 2
h = 4
Determine the requried volume of the trapezoidSubstitute
A = 0.5(3 + 2)*4
A = 0.5(20)
A = 10 square units
Hence the area of the trapezoid is 10 square units
Learn more on area of trapezoid here: https://brainly.com/question/1463152
Answer:
B) 5 Square Units
Step-by-step explanation:
Answered from another colleague :)
B1 = 2
B2 = 3
H = 2
A = 1/2 (B1 + B2) H
1/2 (2+3) 2
1/2 (5) 2
(2.5)2
5
A biased 3-coloured spinner was spun 240 times. It landed on Red n times, on Orange 3n times and on Yellow 8n times.
If you spin this spinner 1000 times, how many times do you expect it to land on Red?
(Hint: Find n first)
Answers
Answer:
83 times.
Step-by-step explanation:
n + 3n + 8n = 240
12n = 240
n = 20.
So we have 20 reds in 240 spins
So by proportion the number expected in 1000 spins
= 20 * 1000/240
= 1000/12
= 83 1/3
So its 83 reds.
(-6)+(-1)+4+9+...+64 sequence
Answers
Answer:
n
Step-by-step explanation:
hb
Question 2 of 10
What is the length of MN?
M
4x
x + 3
250"
50
N
A. 4
o
B. 1
C. 7
ОО
D. 8
Answers
Answer:
4
Step-by-step explanation:
Since the base angles are the same, the side have to be the same
ML = MN
4x = x+3
Subtract x from each side
4x-x = x+3-x
3x= 3
Divide by 3
3x/3 = 3/3
x = 1
We want the length of MN
MN = x+3 = 1+3 = 4
The measurement of MN side is 4
What are the properties of Triangle?The properties of the triangle are:
1. The sum of all the angles of a triangle (of all types) is equal to 180°.
2. The sum of the length of the two sides of a triangle is greater than the length of the third side.
3. In the same way, the difference between the two sides of a triangle is less than the length of the third side.
Since the base angles are the same, the side have to be the same
ML = MN
4x = x+3
Subtract x from each side
4x-x = x+3-x
3x= 3
Divide by 3
3x/3 = 3/3
x = 1
We want the length of MN
MN = x+3 = 1+3 = 4
Learn more about triangles here:
https://brainly.com/question/2773823
#SPJ7
What is the minimum perimeter of a rectangle with an area of 625 mm^2
Question 2 options:
100 mm
125 mm
156.25 mm
312.5 mm
Show your work:
Answers
Answer:
100 mm
Step-by-step explanation:
Square root the area to find the length of each side
[tex]\sqrt[]{625} =25[/tex]
Multiply 25 by 4 to get the sum of all four sides for the perimeter
25 x 4 = 100
Find the equation of the line through the points (-5,11) and (2,-3)
y=
Answers
Answer:
y = -2x + 1
Step-by-step explanation:
y2 - y1 / x2 - x1
-3 - 11 / 2 - (-5)
-14/ 7
= -2
y = -2x + b
-3 = -2(2) + b
-3 = -4 + b
1 = b
Plz help : ) I don't understand
Answers
Converse statement because usually one is told two lines are parallel first and then the alternate interior angles are congruent second.
Y=1/3mx^3 – (m–1)x^2 + 3(m–2)x +1/3
Answers
Answer:
not true
Step-by-step explanation:
i just wants points mate
Brian can type 50 words per minute. He needs to finish typing his 700-word essay and already has 375 words typed. Write and solve an equation to determine the number of minutes (m) that it will take Brian to finish writing his essay. (Round your answer to the nearest tenth)
Answers
i got this because we know that for every minute, m, he types 50 words. since he already has 375, we can just add that onto the 50m. those two combined, 50m + 375, must equal 700, so that is what the equation equals.
to solve for this, we first subtract 375 on both sides to get 50m = 325, then divide both sides by 50, and get that m = 6.5
How many solutions does-3x = -x – 2x have?
Answers
Answer:
infinite solutions
Step-by-step explanation:
-3x = -x – 2x
Combine like terms
-3x = -3x
Add 3x to each side
-3x+3x = -3x+3x
0 =0
This is always true so there are infinite solutions
Two similiar rectangles have corresponding sides in the ratio 10:3. What is the ratio of their areas
Answers
Answer:
Step-by-step explanation:
The ratio of its areas is equal to
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its areas is equal to the scale factor squared
In this problem the scale factor is equal to the ratio 10:3
Let
z-------> the scale factor
so
z2=(10/3)2=100/9
Answer:
mee:)
Step-by-step explanation:
f;kn ef
The difference between the square of two numbers is 11. Twice the square of the first number increased by the square of the second number is 97 find the numbers
Answers
Answer:
Below in bold.
Step-by-step explanation:
x^2 - y^2 = 11
2x^2 + y^2 = 97
From the first equation:
y^2 = x^2 - 11
Substituting in the second equation:
2x^2 + x^2 - 11 = 97
3x^2 = 108
x^2 = 36
x = 6, -6.
Substituting for x in the first equation:
(6)^2 - y^2 = 11
y^2 = 36 - 11 = 25
y = 5, -5.
Quanto falta para a fração 8/6 chegar a 2 inteiros? respondem rapido pfv
Answers
Answer:
4/6
Step-by-step explanation:
8/6 + 4/6 = 12/6
12/6 = 2.
What is Index Law 1?
please give a definition
Answers
Answer:
LAW 2: The second law of indices tells us that when dividing a number with an exponent by the same number with an exponent, we have to subtract the powers. In algebraic form, this rule is as follows . ... Example: In this example, the powers were multiplied together to give the answer which is 3 to the power of 6.
Use the cross product property to determine witch of the following equalities are proportions:
6.6/1.1 = 0.3/0.05
Answers
Answer:
proportion
Step-by-step explanation:
6.6/1.1 = 0.3/0.05
Using cross products
6.6 * .05 = 1.1 * .3
.33 = .33
Since this is a true statement, the statement is a proportion
What is the midpoint of AB?
A
F GHI
B
+
-9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3
3 4 5 6 7
5 6 7 8 9
+
+
point F
point G
point H
O point
Answers
Answer:
the answer is point G
It is found that Point G is the midpoint of AB.
What does a midpoint mean?Midpoint, as the word suggests, means the point which lies in the middle of something. Midpoint of a line segment means a point which lies in the mid of the given line segment.
We are Given two points A and B which are located at -6 and 8 on the number line. We need to find the midpoint of AB.
First we have to calculate the distance between AB which can be calculated as;
8-(-6)=14 units
Now, to find the midpoint we have to divide the total distance by 2.
Hence, the mid point of AB is 7 units apart from both points A and B then G.
Learn more about midpoint here;
https://brainly.com/question/5127660
#SPJ5
Analyze the diagram below and complete the instructions that follow.
Quadrilateral LMNO is a rectangle. Find MN.
A.
7
B.
10
C.
18
D.
27
Answers
Answer:
there is no diagram ......
