Answer:
Step-by-step explanation:
Since we have one angle with an opposite side and another side known, we are dealing with an ambiguous case. There are either
0
,
1
or
2
solutions to this triangle.
We start by determining the measure of
A
using the law of Sines, since we already know the measure of side
a
.
sin
A
a
=
sin
B
b
sin
A
14
=
sin
105
˚
23
A
=
arcsin
(
14
sin
105
˚
23
)
A
=
36
˚
There is only one solution to this triangle, because if it was, then the alternative measure of A would be
180
˚
−
36
˚
=
144
˚
, which when added to
B
, would make the sum of the angles in the triangle exceed
180
˚
.
We can now use the measure of angles
A
and
B
to solve for angle C.
A
+
B
+
C
=
180
˚
36
˚
+
105
˚
+
C
=
180
˚
C
=
39
˚
The last step is using this information to reapply the law of sines and determine the length of side
c
.
sin
B
b
=
sin
C
c
sin
105
˚
23
=
sin
39
˚
c
c
=
23
sin
39
˚
sin
105
˚
c
=
15
In summary
The triangle has the following measures.
∙
A
=
36
˚
∙
a
=
14
units
∙
B
=
105
˚
∙
b
=
23
units
∙
C
=
39
˚
∙
c
=
15
units
Hopefully this helps!
Find the sum of−3x^2
Answer:
[tex]x+y=2[/tex]
[tex]y=-x+2[/tex]
[tex]slope (m)=-1[/tex]
[tex]slope ~of ~perpenddicular ~line:-[/tex]
[tex]-1/m_{2}[/tex]
[tex]\frac{-1}{-1} =1[/tex]
------------------------
hope it helps...
have a great day!
19.05 divided by N = 12.7
Answer:
1.5
Step-by-step explanation:
19.05 divided by 12.7 = 1.5
Answer:
1.5
Step-by-step explanation:
19.05 divided by 12.7 = 1.5
A company rents out 18 food booths and 27 game booths at the county fair. The fee for a food booth is $50 plus $6 per day. The fee for a game booth is $65 plus $8 per day. The fair lasts for d days, and all the booths are rented for the entire time. Enter a simplified expression for the amount, in dollars, that the company is paid.
Answer:
$2655 + $324d
Step-by-step explanation:
total cost of a booth = fixed cost + (variable cost x number of days)
Fixed costs are costs that do not vary with output
Variable costs are costs that vary with production
cost of 18 food booths = 18(50 + 6d) = 900 + 108d
cost of 27 game booths = 27(65 + 8d) = 1755 + 216d
Add the total cost of the food and game booths together 900 + 1755 = 2655
108d + 216d = 324d
PLZ HELP
In ⊙C, DE ≅ FG, Which statement must be true? Select all that apply.
Answer:
E because is covered all angle
< DCE ≅ < GCF must be true
Hence Option A and E are true statements.
What are angles of circle?A circle has a total of 360 degrees all the way around the center, so if that central angle determining a sector has an angle measure of 60 degrees, then the sector takes up 60/360 or 1/6, of the degrees all the way around. In that case, the sector has 1/6 the area of the whole circle.
According to the given figure:
DE ≅ FG
So < DCE ≅ < GCF must be true
Because DE ≅ FG
< DCE ≅ <GCF is similar to DE ≅ FG
Hence, < DCE ≅ < GCF must be true
Hence Option A and E are true statements.
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Help pls lol
Ahiwbsianaikebdoansijahdiwkanjdjsbfjnsbdjebjfjf
Answer:
the perimeter of this trapzoid is 26.5.
Sorry if I am wrong and please do correct me if I am wrong.
Step-by-step explanation:
Review the graph of function f(x). On a coordinate plane, a curve starts at closed circle (negative 2, 2), curves down to (negative 1, 1), and curves up through (0, 2) to closed circle (3, 6). Using the extreme value theorem, what are the minimum and maximum values of f(x)? minimum value = 1; maximum value = 6 minimum value = 2; maximum value = 6 minimum value = –1; maximum value = 3 minimum value = –2; maximum value = 3
Answer:
A. minimum value = 1; maximum value = 6
Step-by-step explanation:
Correct on Edge 2021
if the probability of rain tomorrow is 0.15 what is the probability that it will not rain
Answer:
85% or 99.85%
Step-by-step explanation:
If you mean 15% by 0.15 then the probability that it will not rain is 85% because, 100-15=85.
If you mean 0.15% by 0.15 then the probability that it will not rain is 99.85% because, 100-0.15 is 99.85.
1.3. If Sara draws a red ball and DOES NOT RETURN it, and then she goes to draw a green
ball, is this considered a dependent or independent event?
Answer:
Dependent Event
Step-by-step explanation:
Assume that are 10 balls, such that:
[tex]Red = 6[/tex]
[tex]Green = 4[/tex]
If the balls are replaced after taken, the probability is:
[tex]Pr(Red) = 6/10[/tex]
[tex]Pr(Green) = 4/10[/tex]
This is referred to as independent event; because each selection do not affect the next or previous selection
However, if the balls are not replaced, the probability is:
[tex]Pr(Red) = 6/10[/tex]
[tex]Pr(Green) = 5/(10 - 1) = 5/9[/tex]
We subtracted 1 because there is a reduction in the number of balls when the red ball is not returned.
This is referred to as independent event; because a selection affects the next selection
Which values make this inequality true?
Answer:
2
Step-by-step explanation:
2-2=4 which is equal to 4
At a restaurant grand opening, a giant sandwich that was 352 centimeters long was divided equally among 22 people. Clyde got one of the pieces, ate half, and saved half for later. Which equation can we use to estimate the length of the piece of sandwich Clyde saved?
Answer:
8 cm
Step-by-step explanation:
You neglected to include any equations
Here is one way to solve:
length of each piece
352/22 = 16
Half a piece
16/2 = 8
Choice C
352/22/2 = l
Answer:
352 ➗ 22 ➗ 2 = l
Step-by-step explanation:
Write an explicit formula for the following sequence. Find the fifteenth term.
10, 11, 12, 13, 14, ...
Answer:
Tn=n+9
Step-by-step explanation:
Tn=n+9
T15=15+9
T15=24
which expressions are equivalent to 4-3 over 4-1
Answer:
B
cause when dividing you are subtracting the exponents
so it 4^-3+1 = 4^-2
you shouldnt have negative exponents
so you flip it, which become 1/4^2
Hope that answers your question
Don't hesitate to comment if you are confused about something
Step-by-step explanation:
PLSSSSSSSSSSSSSSSSSSSSS HEEEEEELP
Answer:
notice the two angles are vertical to each other making them equal to each other
for the first angle add 45 and 15 together to get 60
set 60 = 4x (the other angle using the vertical angle congruence theorem)
solve for x gives us 15
Step-by-step explanation:
In parallelogram MNPT, IZM= (6x + 10)° and
mZN= (5x + 10.5)° . How many degrees is ZT?
Answer:
83 degrees
Step-by-step explanation:
We can use the consecutive angle theorem to find the the value of x.
We can do that by doing 5x+10.5+6x+10 = 180
After simplifying, we get 11x+20.5=180
Subtract 20.5 on both sides and you get 11x=159.5.
Divide by 11 on both sides and you get x=14.5
Now we can use opposite angle theorem and set angle N and angle T equal.
That means we could write 5x+10.5 = m<T
We can substitute 14.5 for x and we get 72.5+10.5 = m<T
Simplify and you get 83 = m<T
----------------------------------------------
Hope this helps!
For each set of angles or sides lengths, determine whether they could form a unique triangle, more than one triangle, or no triangle.
5 cm, 10 cm, 12 cm
8 ft, 12 ft, 20 ft
40°, 50°, 80°
28°, 51°, 101°
Answer: They can form one triangle.
Step-by-step explanation: Since all triangle must have 180 degrees, there’s only one set of degrees that sum up to 180.
28+51+101=180
I’m sorry, but the feet/centimeters part you have to solve on your own. Remember, this is a learning community! No stress :) I can guarantee you won’t get it wrong though.
There’s many different triangles, and I’m sure from these feet/centimeters you can make at least one of the listed: Scalene (none of the sides are equal), isosceles (only 2 sides are equal) or equilateral triangle (all sides are equal). There’s also right triangles (which are triangles with one right angle also known as 90 degrees) that are either isosceles or scalene or both! Try your best and remember, no stress :)
PLEASE ANSWER ME AS FAST AS POSSIBLE
THANK YOU!
Answer:
5/8 - 1/4
Step-by-step explanation:
because it makes more sense I don't know how to explain
Answer:
4th option.
Step-by-step explanation:
The number getting subtracted is 5/8 since there are 5 boxes shaded in.
The number subtracting from it is 2/8 but that is not an option so the only other option equivalent to 2/8 is 1/4.
5/8 - 1/4 = 3/8 so the answer would also need to include 3/8 as the difference.
The only choice with all this is the 4th one
agles
1. Find the measure of arc ABC
110 °
Answer:
Arc ABC = 250°
Step-by-step explanation:
m<AOB = 110° (given)
Based on the central angle theorem, central angle m<AOB equals the intercepted arc AB
Therefore,
m<AOB = measure of arc AB = 110°
Thus:
Arc ABC = 360° - arc AB (Full circle = 360°)
Arc ABC = 360° - 110°
Arc ABC = 250°
The dot plots compare the number of raffle tickets sold by boys and girls during a school fund-raiser. Which plot has an outlier?
Answer:
Girl's plot
Step-by-step explanation:
The exact question is as follows :
Given - The dot plots compare the number of raffle tickets sold by boys and girls during a school fund-raiser.
To find - Which plot has an outlier?
Proof -
The correct answer is - Girls
Reason -
Girls plot has an outlier because values way outside the majority of the data.
Definition of outlier -
A value that "lies outside" (is much smaller or larger than) most of the other values in a set of data.
Here in the Girl's plot we can see that, all the dots are close but there is one dot that is lies outside
But in Boy's plot all the dots are close to each other , no dot is lies outside to any other dots.
So,
The correct option is -
Girl's plot has an outlier.
The double cone is intersected by a vertical plane passing through the point where the tips of the cones meet. What is the shape of the cross
section formed?
Anna enjoys dinner with her family at a restaurant in Washington, D.C. She leaves a 15% tip on the price of her meal. She also has to pay a 10% sales tax on her meal, which is calculated on the pre-tip amount. She spends a total of $27.50 for dinner, including tax and tip. What is the cost of her dinner without tax and tip? Show your work.
Answer:
$22
Step-by-step explanation:
tax and the tip increase the price paid for the meal
she paid 15 + 10 = 25% more than the price of her meal
p = original price
1.15 x p = 27,50
p = 27.50 / 1.15 = 22
Two-Way Tables Laura wants to know whether the top golfers in the world tend to be American. To do this, she searches the Internet to find the current top-20 male golfers and top-20 female golfers and records whether they are American. This two-way table shows her data. Keep the two way table window open as you work on the tasks. Part A Find the relative frequencies by rows.
Answer:
Male Female Total
American 11/17 = 0.647 l 6/17 = 0.353 l 17/17 = 1.000
Non-American 9/23 = 0.391 l 14/23 = 0.609 l 23/23 = 1.000
Step-by-step explanation:
Give the exact value of the trigonometric function.
sec([tex]\frac{\pi }{2}[/tex])
A. 1
B. -1
C. 0
D. undefined
Please explain your answer, thank you! I'll give brainliest.
Answer:
D) undefined
Step-by-step explanation:
we would like to simplify the following
[tex] \displaystyle \sec \left( \frac{\pi}{2} \right) [/tex]
remember that, sec is the recipocal of cos
so,
[tex] \displaystyle \frac{1}{\cos \left( \frac{\pi}{2} \right) }[/tex]
by unit circle we acquire
[tex] \displaystyle \frac{1}{0}[/tex]
remember that, dividing by 0 is undefined
hence,
[tex] \displaystyle \sec \left( \frac{\pi}{2} \right) =\rm undefined [/tex]
please find the volume of the cone!!
[tex]volume = \frac{1}{3} \times \pi \times {r}^{2} \times h[/tex]
Plugging in our values,
[tex]volume = \frac{1}{3} \times 3.142 \times {1}^{2} \times 2 = \frac{1}{3} \times 3.142 \times 2 = 2.095{m}^{3} \\ [/tex]
So the answer is,
[tex]2.095{m}^{3} [/tex]
The mean age of 5 women in an office is 23 years old. The mean age of 3 men in an office is 24 years old. What is the mean age (nearest year) of all the people in the office?
Answer:
23
Step-by-step explanation:
Women total age = 5 x 23 = 115
Men total age = 3 x 24 = 72
The mean age of all the people
= (115+72)÷(8)
= 23.375
= 23 (nearest year)
The mean age (nearest year) of all the people in the office is 23
How to determine the mean age?The given parameters are:
5 women = 23 years
3 men = 24 years
Mean is calculated using:
[tex]\bar x = \frac{\sum fx}{\sum f}[/tex]
So, we have:
[tex]\bar x = \frac{23 * 5 + 24 * 3}{5 + 3}[/tex]
Evaluate the quotient
[tex]\bar x = 23[/tex]
Hence, the mean age (nearest year) of all the people in the office is 23
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solve for X. Assume that lines which appear tangent are tangent
Answer:
C
Step-by-step explanation:
Find the measure of the exterior angle.
Answer:
33+x+18=2x+3
51+x=2x+3
51-3=2x-x
48=x
Step-by-step explanation:
2x+3
2*48+3
96+3
99
What's the answer to
"find the value of
√121 + 3√125" "?
Answer:
11+15√5
Step-by-step explanation:
mat.hway
a book had a sale and it was 20% off. the price now is $7.00. What was the original price?
show work
Answer:
List Price = $ 8.75
Discount Amount = $ 1.75
2. Nicholas has a pepper shaker in the shape of a cylinder. It has a radius of 9 mm and a height of 32 mm. How much pepper will fit in the shaker?
Answer:
sefsefff
Step-by-step explanation:
Writing a linear equations
Answer:
y = 1/2 x - 2
Step-by-step explanation:
The standard linear equationof a line is expressed as y = mx+b
Using the coordinate points (0, -2) and (2, -1)
Slope m = -1-(-2)/2-0
m = -1+2/2
m = 1/2
Since the line cuts the y axis sat y = -2, hence the intercept b = -2
Get the required equation;
Recall that y = mx+b
y = 1/2 x + (-2)
y = 1/2 x - 2
This give the required linear equation