Answers
Answer:
The measure of Angle M = 74.8°
Step-by-step explanation:
Cos(x) = [tex]\frac{adjacent}{hypotenuse}[/tex]
Cos(x) = [tex]\frac{26}{99}[/tex]
x = Cos⁻¹([tex]\frac{26}{99}[/tex])
x = 74.8°
So the measure of Angle M = 74.8°
Hope this helps!
Answer:
Trigonometry
since we have the adjacent and the hypotenuse we use CAH .We are looking for the angle we take the cos inverse
cos x = A
H
cos x = 26
99
x = cos -1 (26 ÷ 99)
x = 74.77404748
x= 74.8
Related Questions
Use the vertical line test to determine whether y is a function of x
Answers
Answer:
Not a function of x
Step-by-step explanation:
A vertical line intersects the graph twice, which immediately tells us that y is not a function of x here. If y were a function, the vertical line would intersect the graph in only one place.
No, A vertical line intersects the graph doubled, which instantly tells us that y exists not a function of x here. If y existed a function, the vertical line would intersect the graph in just one area.
What is Vertical line test?If a vertical line can be drawn to connect the graph of a function in more than one place, then stands NOT a function. If it exists not feasible to draw a vertical line to touch the graph of a function in more than one place, then y exists as a function of x.
No, A vertical line intersects the graph doubled, which instantly tells us that y exists not a function of x here. If y existed a function, the vertical line would intersect the graph in just one area.
Therefore, the correct answer is option B. No.
To learn more about vertical line test
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Suppose that an insurance company has broken down yearly automobile claims for drivers from age 16 through 21 as shown in the following table. How much should the company charge as its average premium in order to break even on costs for claims?
Answers
Answer:
?
Step-by-step explanation:
Help please I am struggling thank you
Answers
The answer is 904.8 yd³
Step-by-step explanation:
The formula for a sphere's volume is 4/3πr²
r in this case is 12/2 which is 6. That means that r=6 which gives us 904.78 which is rounded to 904.8.
Answer:
904.32
Step-by-step explanation:
v= [tex]\frac{4}{3\\}[/tex][tex]\pi[/tex][tex]r^{3}[/tex]
first cube the radius (6) (radius is half of the diameter 12)
6x6x6 = 216
multiply by pi
216 x 3.14 = 678.24
multiply by 4/3
[tex]\frac{678.24}{1}[/tex] x [tex]\frac{4}{3}[/tex] = [tex]\frac{2712.96}{3\\}[/tex] = 904.32
Solve (3^p times 81 = 9) for p
Answers
Answer:
p = -2
Step-by-step explanation:
Start by dividing both sides by 81 to get the power by itself.
[tex]3^p \cdot 81 = 9\\\\3^p=\frac{9}{81}=\frac{1}{9}[/tex]
Write the fraction using a power of 3.
[tex]3^p=\frac{1}{3^2}\\\\3^p=3^{-2}\\\\p=-2[/tex]
This assumes you know about negative exponents: [tex]a^{-n}=\frac{1}{a^n}[/tex]
(5x)/6 + 11/4 = 17/3
Answers
Answer: Exact Form: x = 7/2
Decimal Form: x = 3.5
Mixed Number Form: x = 3 1/2
How to: Solve for x by simplifying both sides of the equation, then isolating the variable.
Have a great day and stay safe !
Two angles x and y are complementary - which means their
angles add up to 90 degrees. Angle y is 20 degrees less
than angle x. Find the measure of each angle.
Answers
Answer:
X=55° Y=35°
Step-by-step explanation:
X+Y=90°
Y= x-20
(X-20)+X=90°
2X-20=90°
2X=110°
X=55°
55°+Y=90°
Y=35°
What is the value of b on the number line below? A number line from 0 to 1 showing fourths. There is a dot labeled b that is halfway between one half and three fourths.
Answers
Answer:
B is 5/8
Step-by-step explanation:
Note: 4/8 = 1/2 and 6/8 = 3/4
Kate has 3 quarts of a 5% sugar solution she wants to mix this with 2478% sugar solution and X quarts of a 12% sugar solution to make a 10% sugar solution how many quarts of a 12% sure solution to Katie‘s
Answers
Answer:
The volume of the 12% sugar solution required, 'X' for a given volume of the 8% sugar solution, 'Y' is;
X = (2·Y + 15)/2
When the volume of the 8% sugar solution, Y = 2 quartz, the volume of the 12% sugar solution required, X = 9.5 gallons
Step-by-step explanation:
The data of the sugar solutions are;
The volume of 5% sugar solution Kate has = 3 quarts
The volume of the 12% sugar solution = X
Let 'Y' represent the volume of the 8% sugar solution, we have;
The volume of the resultant solution, Z = X + Y + 3
The concentration of the resultant solution = 10%
0.05 × 3 + 0.08·Y + 0.12·X = 0.1·(X + Y + 3)
Solving gives the relationship between the volume of the 12% sugar solution, 'X', and the 8% sugar solution, 'Y' in quartz, as follows;
X = (2·Y + 15)/2
When the volume of the 8% sugar solution, Y = 2 quartz, we have;
X = (2 × 2 + 15)/2 = 9.5
Therefore, the volume of the 12% sugar solution Katie requires to make the 10% sugar solution is 9.5 quartz.
PLEASE HELP ME, ILL GIVE BRAINLIEST AND 50 POINTS
Answers
Answer:
h=8
Step-by-step explanation:
a²+b²=c²
a=A
b=12
c=13
therefore substitute
A²+(12)²=(13)²
A²=13²-12²
A²=25
A=5
h=3+A
h=3+5
h=8
Answer:
8 ft
Step-by-step explanation:
since it is a right angled triangle and you have 2 side lengths, we use the pythagoras theorem here.
a² + b² = c²
the c² is always your hypotenuse (longest side of the triangle, also opposite to the right angles)
*the b and a doesnt matter which order you put it in*
so; (sub in the numbers to the formula)
a² + 12² = 13²
(rearrange - like terms together)
a² = 13² - 12²
(calculate it)
a² = 25
(simplify it - get rid of the ² on the a)
a = √25
(solve)
a = 5
so, we know that a = 5 and we know that we have an additional 3
5 + 3 = 8
4. Solve the following inequality for b, showing all of your work carefully and completely
4b - 12 - 55 < 9b +8
Answers
Answer:
b > -15
Step-by-step explanation:
4b - 12 - 55 < 9b + 8
Combine terms.
4b - 67 < 9b + 8
Subtract 9b from both sides.
-5b - 67 < 8
Add 67 to both sides.
-5b < 75
Divide both sides by -5. When dividing by a negative, flip the sign.
b > -15.
What factors greatly affect the climate if you live near the Manila Bay?
Answers
PLZ HELP WILL MARK BRAINLIEST!!!
Answers
Answer:
(0-8)
Step-by-step explanation:
the z represents a unknown number.=, and because it equals y it starts at 0. so (0-8)
A soccer dome shaped like a hemisphere has a volume of 450,000 cubic meters. What is the area of its floor? Use 3.14 for π in your calculations and round your answer to the nearest square meters
Answers
Answer:
3282 m^2
Step-by-step explanation:
volume of a hemisphere = (2/3) x (n) x (r^3)
n = 22/7
r = radius
r = (450,000 x (3/2) x(1/3.14)) ^1/3
r = 45.72
Area of a semicircle = 1/2 x n x r^2
1/2 x 45.72^2 x 3.14 = 3282 m^2
Which statement is true about this data set?
{70, 67, 66, 65, 66, 78, 68, 71, 80, 78, 72}
80 is an outlier because it is greater than the upper fence.
This data set has no outliers.
65 and 80 are both outliers because 65 is less than the lower fence and 80 is greater than the upper fence.
65 is an outlier because it is less than the lower fence.
PLS HELP I WILL GIVE Brainliest
Answers
Answer:
Option 3 - This data set has no outliers.
Step-by-step explanation:
Given : The data {70, 67, 66, 65, 66, 78, 68, 71, 80, 78, 72}
To find : Which statement is true about this data set?
Solution :
The statements is all about outlier.
So, we find the outlier of the data.
Step 1- Arranging the data from lowest to highest,
{65,66,66,67,68,70,71,72,78,78,80}
Step 2 - Find the median of the data
As the data is odd numbers so the median is th term.
term.
6th term is 70 ⇒ Median =70
Step 3 - To find Upper quartile and lower quartile
Lower quartile data set is the median of the upper terms from median
{65,66,66,67,68}
Median of the set is 66
∴
Upper quartile data set is the median of the lower terms from median
{71,72,78,78,80}
Median of the set is 78
∴
Step 4 - To find the interquartile range.
Step 5 - To find the fences for the data set.
The formula to find range is
Substitute the values, we get
The range in which data lies is [48,96]
We have seen that all the data lie inside the range.
Therefore, This data set has no outliers.
Hence, Option 3 is correct.
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Write an equation of the line in slope-intercept form that passes through the point (3, 8) with slope 4?
Answers
Y = mx + b
m = slope, b = y intercept
Given the slope of 4
Y = 4x + b
Plug in the point (3,8)
8 = 4(3) + b
8 = 12 + b, b = -4
Y intercept = -4
Solution: y = 4x - 4
Piper is buying a bottle of bubbles for $5.99. If there are 3 gallons of bubbles in the bottle, what is the unit rate?
Answers
Answer:
5.99/3
Step-by-step explanation:
Teachers usually except this stuff because it is technically correct
_5) How does the “x + 1" affect the graph in the equation: y = } • (4)*+1 – 37
A) Left 1
B) Right 1
C) Up 1
D) Down 1
Answers
Answer:
immma send you the link friend me on here Step-by-step explanation:
evauate the problem 5y=30
Answers
Answer:
y = 6
Step-by-step explanation:
5y = 30
5y ÷ 5 = 30 ÷ 5
y = 6
5x6=30
Hope this helped
Use the exterior angle theorem to find the value of x in the triangle below.
A
x = 7
B
x = 5
C
x = 12
D
x = 15
Answers
Answer:
Option A
Step-by-step explanation:
By using the definition of an exterior angle of a triangle,
"Measure of the exterior angle of a triangle is equal to the sum of measures of the opposite interior angles"
m∠STP = m∠SWT + m∠STW
Substitute the measures of the angles from the picture attached,
15x = (7x + 1) + (7x + 6)
15x = (7x + 7x) + (1 + 6)
15x = 14x + 7
15x - 14x = 7
x = 7
Therefore, Option A will be the correct option.
In a popular online role playing game, players can create detailed designs for their
character's "costumes," or appearance. Ruby sets up a website where players can
buy and sell these costumes online. Information about the number of people who
visited the website and the number of costumes purchased in a single day is listed
below.
28 visitors purchased no costume.
126 visitors purchased exactly one costume.
7 visitors purchased more than one costume.
Based on these results, express the probability that the next person will purchase
more than one costume as a fraction in simplest form.
Answers
Answer:39%
Step-by-step explanation:
Which answer represents the series in sigma notation? −7+(−2)+3+8+13 ∑j=15(5j−12) ∑j=15(−8j+1) ∑j=15−5(15)j−1 ∑j=155j−1
Answers
Answer:
∑j=15(5j−12)
Step-by-step explanation:
For j = 1 up to j = 5
j = 1
(5j - 12) = (5(1) - 12) = 5 - 12 = - 7
j = 2
(5j - 12) = (5(2) - 12) = 10 - 12 = - 2
j = 3
(5j - 12) = (5(3) - 12) = 15 - 12 = 3
j = 4
(5j - 12) = (5(4) - 12) = 20 - 12 = 8
j = 5
(5j - 12) = (5(5) - 12) = 25 - 12 = 13
(-7 + (-2) + 3 + 8 + 13)
Answer:
(5j-12)
Step-by-step explanation:
Other person was right, took the test using the answer they gave.
Find the area of the compound figure. Round your answer to 2 decimal places if required. (Use π = 3.14)
Hello! I’ve been stuck on this problem for a while and—though I know the answer—I’m not sure how to get to it? Please help!
Answers
Answer:
first you will need to break the shape into a semi circle and a triangle.
then solve the area of the semi circle. which is
[tex] \frac{(3.14) \times r ^{2} }{2} \\ [/tex]
[tex] \frac{(3.14) \times 4.6^{2} }{2} \\ = 33.22[/tex]
Then solve the area of the triangle.
First work out the height of the triangle, which is
[tex]13.4 - 4.6 = 8.8[/tex]
then the area. which is
[tex] \frac{1}{2} 4.6 \times 8.8 \\ = 20.24[/tex]
now calc. the two figures. which is
[tex]20.24 + 33.22 \\ = 53.46[/tex]
What are the ordered pairs of the
solutions for this system of equations?
f(x)=x^2 – 2x + 3; f(x) = -2x + 19
(4, [?]); ([ ], [])
Answers
Answer:
(4, 11) is one ordered pair and (-4, 27) is the other ordered pair
Step-by-step explanation:
(1) f(x) = x^2 - 2x + 3 (2) f(x) = -2x + 19
-2x + 19 = x^2 - 2x + 3
x^2 - 16 = 0
(x - 4)(x + 4) = 0
x = 4 or x = -4 -2(4) + 19 = 11
-2(-4) + 19 = 27
So, when x = 4, y = 11 and when x = -4, y = 27
(4, 11) is one ordered pair and (-4, 27) is the other ordered pair
The perimeter of the triangular park shown on the right is 12x - 1. What is the missing length?
Answers
Answer:
6x-4
Step-by-step explanation:
c-the missing length
(2x+5)+(4x-2)+c = 12x-1
2x+5+4x-2+c=12x-1
6x+3+c=12x-1
6x+4+c=12x =>4+c=12x-6x =>4+c=6x => c=6x-4
What is the missing length? 6x-4
According to this diagram, what is cos 16°? 25 90° 24 OA OB. 곪 24 7 OC. OD.
Answers
Answer:
None of the listed answers are correct.
cos16º = 24/25
Step-by-step explanation:
cos∅ = adj/hyp
adj = 24
hyp = 25
cos 16º = 24/25
John wrote the equation tim.0 to represent there in decrees er a substance had been tested for minutes Describes be temperature of the substance and the been heated A The temperature initially de trees Cels B. The temperature increased by dores every 0. Based on John's equation, how many minutes does the substances to be heated to reach a temperature of 100 decrees Celtus?
Answers
Answer:
ur english is so bad i can barely discern what ur trying to say and the correct answer is 5
Step-by-step explanation:
Find the value of x in the triangle shown below.
ac
5
Answers
A scatterplot includes data showing the relationship between the number of items on a standardized test and the
length of time, in minutes, it took for different students to complete it. Which graph displays the line of best fit for the
data?
Answers
Answer:
its D
Step-by-step explanation:
Eddie built the ramp shown to train his puppy to do tricks. What is the surface area of the ramp. The dimensions are 20,20,20,23,25,25,15
Answers
Answer:
3775 in²
Step-by-step explanation:
The surface area of the ramp :
Area of rectangle = 20 * 23 = 460 in²
Area of rectangle = 20 * 23 = 460 in²
Area of rectangle = 25 * 23 = 575 in²
Bottom rectangle = 60 * 23 = 1380 in²
For the trapezium: (front and rear)
1/2 (base 1 + base 2) * height
Base total = 20+ 20+ 20= 60
1/2(60)*15 = 450 in²
Total surface Area :
(460 + 460 + 575 + 1380 + 450 + 450) in² = 3775 in²
beau completed 2/5 of his science project on Friday and 1/3of the project on Saturday what fractional part of his project did she complete during these two days
Answers
Answer:
beau completed 2/5 of his science project on Friday
beau completed 1/3 of his science project on Friday
Now
he completed during these two days=1/3+2/5=11/15 part of his project