Find the missing side lengths. Leave your answers as radicals in simplest form.
Please help!!!! Due today please help!!!!!!
Answers
Answer:
[tex]m = 10\sqrt 3[/tex]
[tex]n = 10[/tex]
Step-by-step explanation:
Required
Find m and n
Considering the given angle, we have:
[tex]\sin(60) = \frac{Opposite}{Hypotenuse}[/tex]
This gives:
[tex]\sin(60) = \frac{m}{20}[/tex]
Make m ths subject
[tex]m = 20 * \sin(60)[/tex]
[tex]\sin(60) =\frac{\sqrt 3}{2}[/tex]
So, we have:
[tex]m = 20 *\frac{\sqrt 3}{2}[/tex]
[tex]m = 10\sqrt 3[/tex]
Considering the given angle again, we have:
[tex]\cos(60) = \frac{Adjacent}{Hypotenuse}[/tex]
This gives:
[tex]\cos(60) = \frac{n}{20}[/tex]
Make n the subject
[tex]n = 20 * \cos(60)[/tex]
[tex]\sin(60) =\frac{1}{2}[/tex]
So, we have:
[tex]n = 20 *\frac{1}{2}[/tex]
[tex]n = 10[/tex]
Related Questions
PLEASE BE FAST
Find the constant of proportionality for the proportional relationship shown in the graph.
graph of a line going through 0 comma 0 and one half comma 5
p = 10
p = 5
p = 0.5
p = 0.1
Answers
The constant of proportionality is 10 for the proportional relationship shown in the graph.
What is the constant of proportionality?The constant of proportionality is the constant value of the ratio of two proportional values. A proportionality relation exists between two changing quantities when either their ratio or product gives a constant.
The proportional relationship is shown in the given graph.
As per the given graph, we take two points (1, 10) and (2, 20)
So, the constant of proportionality will be as:
⇒ (20 - 10)/(2-1)
⇒ 10/1
⇒ 10
Hence, the correct answer would be option (A).
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The function f is defined by f(x) = 2x2 -7.
Find f(5x).
Answers
Answer:
10fx-7
Step-by-step explanation:
(:
paper costs $1.50, which inequality is used to find how many rolls of paper could be purchased with less than $12?
Answers
Answer:
1.50x < 12 (the inequality would just be "less than")
Step-by-step explanation:
Can y’all help me on question 20?!
Answers
Answer:
A. 84
Step-by-step explanation:
84 / 4 = 21
Answer:
Its a(84)
Step-by-step explanation:
If a= m2 + 2, what is the value of a when m=-3?
0-7
-4
11
00
Answers
Answer:
a=11
Step-by-step explanation:
a=m2 +2
a= (-3)2+2
a=9+2
a=11
help help help help pls
Answers
Answer:
67
Step-by-step explanation:
42+90=132
180-132=48
<A=48
if u use the 113 that you got than
113+48=161
180-161=19
<B= 19
48+19=67
Anna wants to buy 4 sweaters. The sweater come at a discount rate. If you buy one sweater regular price the other sweater is 40% off. How much percent is off of each sweater?
Answers
Answer:
20%------------------------
If you buy a sweater, the second one is at 40% discount.
Divide the discount between the two to get:
40%/2 = 20%You get a discount of 20% for each sweater.
Answer:
Discount percentage = 20%
Step-by-step explanation:
Discount of the sweaters,
→ first sweater = 0%
→ other sweater = 40%
The average discount percent is,
→ (first sweater + other sweater)/2
→ (0% + 40%) ÷ 2
→ (0 + 40)/2
→ 40/2
→ 20% off
Hence, the answer is 20% off.
< 8. If m M = (8x - 56) and mNP = (5x + 22), find mLP. M39 degrees
Answers
Answer:
I think 42 is the answer...
what is equivalent to 2/8
Answers
Answer:
1/4,
Step-by-step explanation:
Answer:
1/4
Step-by-step explanation:
please only right answers
Answers
Answer:
what is the full question? 4 units left or right or?
2 cm
A glass bead has the shape of a rectangular prism with a smaller rectangular
prism removed. What is the volume of the glass that forms the bead?
]
2 cm
4 cm
7 cm
4 cm
(The figure is not to scale.)
The volume of the glass that forms the bead is cm3.
Answers
Answer:
80
Step-by-step explanation:
gretchen buys a sweater at a clearance sale for $35.74. The original price of the sweater was $59.99. Find the percent discount.
Answers
Answer:
59.5765%
Step-by-step explanation:
$35.74/$59.99
Is it plausible that the average commute time is actually 20 minutes? Explain.
Answers
Answer:
Yes
Step-by-step explanation:
Most commutes to work or errands are about 8 to 32 minutes - averaging at around 20 minutes.
let sets a and b defined as follows
A is c,d,e,f,g
b is the set of odd numbers greater than 5 and less than 13
Answers
Answer:
The set A is defined as the set containing the elements c, d, e, f, and g.
The set B is defined as the set of odd numbers greater than 5 and less than 13. This set includes the elements 7, 9, and 11.
Step-by-step explanation:
What are the more appropriate measures of center and spread for this data
set?
Answers
Except Option - A all satisfy the more appropriate measures of center and spread for the data that is median and IQR.
Given that,
We have to find what are the more appropriate measures of center and spread for data.
We know that,
Mean, median, and mode are the three central tendencies, and median is the more accurate indicator.
This is because
i) Extreme values affect the mean.
ii) If there are more outliers, the mean is in error.
iii) Means that are biassed to the right or left may not accurately reflect the nature of the data.
However, median is preferable to mean because it represents the center entry and is unaffected by extreme items or outliers.
Since extreme items will show higher standard deviation and some outliers may be misleading, IQR is a superior spread measurement tool. However, IQR provides an excellent idea.
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The square of a number minus six times a number equals negative five.
The equation is ?
The solutions to the equation is ?
Answers
Equation [tex]x^{2}-6x=-5[/tex]
Solving:
[tex]x^2 - 6x+5=0\\\\(x-5)(x-1)=0\\\\x=1, 5[/tex]
a line has a slope of 7/10 and a y intercept of (0,-4) what is the equation of the line in standard form
Answers
Considering the definition of a line, the equation of the line in standard form is y - 7/10x= -4
What is Linear equationA linear equation o line can be expressed in the form y = mx + b
where
x and y are coordinates of a point.m is the slope.b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.The standard form of a linear equation is Ax + By = C. In this type of equation, x and y are variables and A, B, and C are integers.
Equation in this caseIn this case, you know:
A line has a slope of 7/10.A line has a y-intercept of (0,-4).So, the line can be expressed as:
y=7/10x -4
Expresed in standard form:
y - 7/10x= -4
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WILL MARK BRAINLIEST
The sum of an interior angle and its exterior angle is ___ for all regular polygons.
Answers
Answer:
180
Step-by-step explanation:
The sum of the measures of the interior angles of a polygon with n sides is (n – 2)180. If you count one exterior angle at each vertex, the sum of the measures of the exterior angles of a polygon is always 360°.
Hope it helped :)
Question #2
What is the value of the expression
35
?
23 – 1
A 5
B 7
C 12
Answers
Answer:
A. 5
Step-by-step explanation:
just use calculator tbh
1. The backdrop of the altar in a church is triangular in shape. It has a base of 10.5 meters
and a height of 8.5meters. The priest instructed the layman to cover it from the center with
a white rectangular cloth measuring 4.5 meters long and 4 meters wide. How big was the uncovered backdrop?
A. 26.63 m² B. 18 m²
C. 44.63 m² D. 89.25 m²
------------------------------------
2. A circular portion of a cardboard having 7.6 centimeters radius was being cut out from the entire
squarepiece of a cardboard having a side of 34 centimeters. How big was the remaining piece of
a cardboard?
A.181.37 m² B.974.63 m²
C. 1156 m² D. 219.6 m²
Answers
Answer:
#1
Area of triangle backdrop:
A = 1/2bh = 1/2(10.5)(8.5) = 44.63 m²Area of the cloth:
A = 4.5*4 = 18 m²Uncovered area:
44.63 - 18 = 26.63 m²Choice A
#2
Area of the cut piece:
A = πr² = 3.14*7.6² = 181.37 cm²Area of the square piece:
A= a² = 34² = 1156 cm²Remaining piece is:
1156 - 181.37 = 974.63 cm²Choice B
Determine if the graph is a function.
Answers
Answer:
1. not a function
2. function
3. function
Step-by-step explanation:
ask yourself..."does it pass the vertical line test?"
Find each indicated measure.
Find m
Answers
Answer:
m<N = 32°
Arc NQ = 106°
Step-by-step explanation:
✔️Find m<N:
Inscribed angles theorem, we would have;
m<N = ½(arc MP)
arc MP = 64°
Substitute
m<N = ½(64°)
m<N = 32°
✔️Find measure of arc NQ:
m<P = ½(arc NQ) => inscribed angle theorem
53° = ½(arc NQ)
Multiply both sides by 2
2*53° = arc NQ
106° = arc NQ
Arc NQ = 106°
Find the missing numbers 46 62 87 123 ---- 236
Answers
Answer:
The missing numbers are 74, 105, and 178.
The square of a number minus six times a number equals negative five.
The equation is ?
The solutions to the equation is ?
Answers
Answer:
x² - 6x = -5
x = {1, 5}
Step-by-step explanation:
The square of a number minus six times a number equals negative five.
x² - 6x = -5
Add 5 to both sides
x² - 6x + 5 = 0
Factor
(x - 1)(x - 5) = 0
x = {1, 5}
Answer:
[tex]x^{2} - 6x = -5[/tex]
x = 1 or x = 5
Step-by-step explanation:
Let x = the no.
[tex]x^{2} - 6x = -5\\x^{2} - 6x + 5 = 0[/tex]
(x - 1)(x - 5) = 0
x = 1 or x = 5
Here is the graph of a quadratic function f.
Select all equations that could define the function f.
Answers
Answer:
A B and D
Step-by-step explanation:
Given the parabola is opening downward, the function has to be negative. Therefore, A B and D are correct.
The following equations could define the given quadratic function.
1. -1(x-1)²+9
4. -x²+2x+8
6. (x+2)(x-4)
What is Parabola?A parabola is a U-shaped curve this is drawn for a quadratic function,
f(x) = ax² + b x + c.
1. The function -1(x-1)²+9 represents a downward-facing parabola.
The vertex of the parabola is at point (1, 9), and it opens downward because the coefficient of the squared term (-1) is negative.
4. The function -x²+2x+8 represents a downward-facing parabola as well.
6. The parabola intersects the x-axis at x = -2 and x = 4.
Hence, the correct answer is options 1, 4, 6.
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5. What polygon is shown?
+
Answers
Answer:
Step-by-step explanation:
Pentagon
Answer: Pentagon
Step-by-step explanation: The shape has 5 sides so it's a pentagon
Plz help me well mark brainliest if correct.......????.
Answers
Answer:
the answer is 6 feet!!
Answer:
A. 6 feet
Step-by-step explanation:
help plz it due in an hour
Answers
Answer:
4√3/3
Step-by-step explanation:
This is a 30,60,90 triangle. Therefore, small side (X) is equal to 4/√3 or X√3. In this case, it is 4/√3. This is equal to 4/√3 times √3/√3. This means the answer will be 4√3/3. Therefore, X=4√3/3
If this helps please mark as brainliest
-15 POINTS-
How many sides does a regular polygon have if one interior angle measures 144°
Answers
Answer: 10 sides
Step-by-step explanation:
You can always use the given formula to calculate but I (personally) find it much easier to calculate the number of sides using the exterior angle.
To calculate the exterior angle, it is 180 - the interior angle.
In this example, the exterior angle would be 180-144 = 36°
Because it is a regular polygon, we know that all the angles in the shape are the same.
In all polygons, the exterior angles always add up to 360 degrees.
So divide 360 by 36 (the size of each exterior angle), and you get 10.
360/36 = 10
What is the area of the figure below? 7 cm 8 cm 3 cm 4 cm