Answer:
32.3
Step-by-step explanation:
According to the Law of Cosines, for any △ABC with sides lengths a, b, and c, a2=b2+c2−2bccosA; b2=a2+c2−2ac cosB; and c2=a2+b2−2abcosC.
Set up the equation for the Law of Cosines:
c2=a2+b2−2abcosC
Substitute the known values into the Law of Cosines:
c2=262+172−2(26)(17)cos 95°
Square the values and multiply:
с2=676+289−884cos95°
Add:
c2=965−884cos95°
Take the square root of both sides:
c=965−884cos95°
Calculate the value of cosine 95° on a calculator and solve for the positive value of square root to find c:
c≈32.3
Therefore, c≈32.3.
So, the length of side c is approximately 32.3 units.
please help, thanks :)
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Explanation:
"Without replacement" means the card selected is not put back, and we do not put a copy of that card into the deck.
We have 5 yellow cards out of 5+9+1 = 15 cards total. The probability of picking yellow is 5/15 = 1/3. Let A = 1/3.
After picking that yellow card, we have 5-1 = 4 yellow left out of 15-1 = 14 total. The probability of picking another yellow card, after the first one is not replaced, is 4/14 which reduces to 2/7. Let B = 2/7.
Multiply the values of A and B
A*B = (1/3)*(2/7) = (1*2)/(3*7) = 2/21
The probability of picking two yellow cards, without replacement, is 2/21
A cone and a cylinder have the same radius and height. The volume of the cone is 100π (pi) cubic feet. What is the volume of the cylinder?
Answer:
The volume of the cylinder is [tex]300\pi[/tex] cubic feet.
Step-by-step explanation:
From Geometry we remember that volumes of a cone and a cylinder with the same radius ([tex]R[/tex]), measured in feet, and height ([tex]h[/tex]), measured in feet, are defined by the following equations:
Cone
[tex]V_{co} = \frac{1}{3}\pi\cdot R^{2}\cdot h[/tex] (1)
Cylinder
[tex]V_{cy} = \pi\cdot R^{2}\cdot h[/tex] (2)
The ratio of the volume of the cylinder to the volume of the cone is:
[tex]\frac{V_{cy}}{V_{co}} = 3[/tex] (3)
If we know that [tex]V_{co} = 100\pi\,ft^{3}[/tex], then the volume of the cylinder is:
[tex]V_{cy} = 3\cdot V_{co}[/tex]
[tex]V_{cy} = 300\pi\,ft^{3}[/tex]
The volume of the cylinder is [tex]300\pi[/tex] cubic feet.
(its not 90x+2000) I NEED HELPPP
Answer:
-90x+2000
Step-by-step explanation:
The hot air balloon is descending, this means that the m in the equation should be negative. Also because the graph is showing a decline
i need help with this
I got 140-210 =-50
So
50 B
And 76
60/150*350 for a red bottles
Minus 120/200*350 for b to get answer 1
110/175*350-72/180*350 for answer 2
Step-by-step explanation:
A140
B210
C220
D144
help please this is for math
best answer gets brainlist
Answer:
c
Step-by-step explanation:
1/2 is the constant of proportioanlity
A triangle has three angles of 36°, 34° and 110°.
Classify the triangle.
A. equilateral
B. obtuse
C. acute
D. right
The type of triangle is an obtuse triangle.
What are obtuse triangles?A triangle is a 3-sided polygon.Every triangle has three sides and three angles, some of which may be the same. When the angles are thesame, the triangle is called an equilateral triangle.
An obtuse triangle is a type of triangle in which one of it's angles is more than 90°.
An acute triangle is a type of triangle in which none of it's angles is UpTo 90°
Also a right triangle is a type of triangle in which one of the angles is exactly 90°.
Therefore since one of the angles is 110 and it is greater than 90°, the angle is an obtuse triangle.
learn more about obtuse triangle from
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PLEASE HELP ME I needed help yall please
the total of three consecutive numbers is 210. what are the numbers. show all work
Adriana is saving to buy a camera for $150. She has $25 in her savings account. Every week she earns $9 an hour babysitting for her neighbor Mrs. Beshara. How many hours will Adrianna need to babysit in order to purchase the camera?
Answer : 14hours
Step-by-step explanation:
If a camera costs 150 dollars and she already has 25 dollars, she needs 125 dollars more
9x14=126 so she needs to works 14 hours
The number of hours needed to babysit in order to purchase the camera is 14.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Amount in her account = $25
Amount earned per hour = $9
The expression to find the number of x hours to buy the camera.
25 + 9x = 150
9x = 150 - 25
9x = 125
x = 13.89
x = 14
Thus,
The number of hours needed is 14.
Learn more about expressions here:
https://brainly.com/question/3118662
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What is the square root of 125 in simplified radical form?
Answer:
Simplified radical form: 5√5
Answer:
[tex]5\sqrt{5}[/tex]
Step-by-step explanation:
[tex]\sqrt{ab} =\sqrt{a}\cdot\sqrt{b}[/tex]
Therefore,
[tex]\sqrt{125} =\sqrt{25}\cdot \sqrt{5}=\fbox{$5\sqrt{5}$}[/tex].
The cost to mail a package is $5.00. Noah has postcard stamps that are worth $0.34 each and first-class stamps that are worth $0.49 each. a. Write an equation that relates the number of postcard stamps p, the number of first-class stamps f, and the cost of mailing the package.
Answer:
[tex]0.34p + 0.49f = 5.00[/tex]
Step-by-step explanation:
Given
[tex]Cost = \$5.00[/tex]
[tex]Postcards = \$0.34[/tex]
[tex]First-class = \$0.49[/tex]
Required
Represent as an equation
If 1 postcard costs $0.34, then p postcards cost $0.34p
If 1 first-class costs $0.49, then f first-class cost $0.49f
The addition of p postcards and f first-class equals the total cost of mailing the package.
So, we have:
[tex]0.34p + 0.49f = 5.00[/tex]
Does anyone know how to do distributive property?
Answer:
Yes i do but can you pls answer my question is
Step-by-step explanation:
Is the Monroe Doctrine a positive or negative in regards to staying neutral and out of world affairs ? Why or why not.
Pls answer this
Answer:
Yep, look at the example below:)
Step-by-step explanation:
Basically, you start off by taking the number in front of the parantheses (in this case 6) and multiply it with the other numbers inside the parantheses (so that would be 4 and -5). 6 times 4 is 24, 6 times -5 is -30, and now you combine the two numbers (24 and -30).And voila:) !
6(4-5)
= 24-30
= -6
Which set of data represents a linear function?
Answer:
Linear functions are those whose graph is a straight line. A linear function has the following form. y = f(x) = a + bx. A linear function has one independent variable and one dependent variable. The independent variable is x and the dependent variable is y.
Step-by-step explanation:
So, the anwser is B.
Are the triangles congruent
Answer:
No, neither Similar
Step-by-step explanation:
This is shown by the fact JK doesn't have the same size to MN, and neither does KL or NO (including JL, and MO) They also aren't similar due to the fact they are not the same triangle different sizing.
Which one of these graphs does not illustrate a function? And why
Answer:
It would be Graph D
Step-by-step explanation:
It's graph D because according to the graph, it looks like the domain has 2 ranges since it made a vertical line. And as we know, vertical lines are not considered to be functional since a domain can't have more than one range.
What’s the answer to the question from the picture I took?
Answer: 170.6
Step-by-step explanation:
you have to find the cube root of 512 which will get you 170.6
which is not a perfect cube
please someone help
The point (0, 5) is the midpoint between (-18, -10) and what other point?
A. (18, 20)
B. (18, 15)
C. (20, 18)
D. (20, 20)
Answer:
The coordinates of the other point are:
(x₂, y₂) = (18, 20)
Hence, option A is correct.
Step-by-step explanation:
Given
The midpoint (x, y) = (0, 5)The first point (x₁, y₁) = (-18, -10)To determine
The second point (x₂, y₂) = ?Using the Mid-point formula between (x₁, y₁) and (x₂, y₂)
[tex]\left(x,\:y\right)=\:\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]
Here:
(x, y) is the midpoint between (x₁, y₁) and (x₂, y₂)
substituting (x, y) = (0, 5) and (x₁, y₁) = (-18, -10) in the formula
[tex]\left(0,\:5\right)=\:\left(\frac{x_2+\left(-18\right)}{2},\:\:\frac{y_2+\left(-10\right)}{2}\right)[/tex]
equating
[tex]0=\frac{x_2+\left(-18\right)}{2}[/tex]
[tex]x_2-18=0[/tex]
Add 18 to both sides
[tex]x_2-18+18=0+18[/tex]
[tex]x_2=18[/tex]
also
[tex]5=\frac{y_2+\left(-10\right)}{2}[/tex]
[tex]10=y_2+\left(-10\right)[/tex]
[tex]10=y_2-10[/tex]
[tex]10+10=y_2[/tex]
[tex]10+10=y_2[/tex]
[tex]y_2=20[/tex]
Therefore, the coordinates of the other point are:
(x₂, y₂) = (18, 20)
Hence, option A is correct.
Answer:
(x₂, y₂) = (18, 20)
Step-by-step explanation:
I hope this helps (✿◡‿◡)
In 2012 five US postal stamps cost $2.20 how much did 7 stamps cost
Answer:
Step-by-step explanation:First, divide 2.20 by 5 to find the price of a single stamp.
2.20 ÷ 5 = 0.44
One stamp cost $0.44
Now, you multiply this by 7 to find the cost of seven stamps.
0.44 × 7 = 3.08
In 2012, seven stamps cost $3.08
Answer:
$3.08
Step-by-step explanation:
so 5= 2,20
dividing them will get .44
now multiple by 7
3.08
The price of a postage stamp in 1982 was $0.20. Today a postage stamp costs $0.49. What is the percent increase in the price of U.S. postage stamp?
Answer: rate for postage purchased at the Post Office will remain at $0.55 (no change from 2020). Each additional ounce for a First Class Mail letter will cost $0.20, a five cent increase from 2020.
Step-by-step explanation:
4. The cost of pizzas at two different shops is shown in the graph and table
below. Choose the true statement from the choices below. *
Answer:
D
Step-by-step explanation:
Ronnie and Roxanne went to the track after school. Ronnie ran 6 laps in 15 minutes. Roxanne ran 9 laps in 20 minutes. Who ran faster?
Answer:
roxxane is the faster
Ethan planted a tree that was 1.85 meters tall. Several years later, the tree is 5.30 meters talI.
Which equation can be used to find a, the number of meters the tree has grown
Answer:
3.45
Step-by-step explanation:
5.30-1.85= 3.45
♤sorry if I'm wrong♤
Answer:
X+1.85= 5.30
x=7.15 meters
Can someone tell me what number 9 is yes or no
Answer:
it´s no
Step-by-step explanation:
Answer:
no
Step-by-step explanation:
Please help me i'll give you brainlist thanks!
Answer:
X=19
Y=20
Step-by-step explanation:
A test has three true false questions. Find the total number of ways you can
answer the three questions.
Answer:
8
Step-by-step explanation:
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24 cakes is 75% of
. what number of
cakes?
47
Answer:
35
Step-by-step explanation:
Do the butterfly multiplication method
24 x 100= 2,400
2,400/75 =32
Please help me answer this.
Evaluate bc + 12 when b=5 and c=2.
Answer:
The answer is 22
Step-by-step explanation:
b=5 c=2
5*2+12
10+12=22
It costs $3 to bowl a game and $2 for shoe rental.
a. Write an expression for the total cost (in dollars) of $g$ games.
Expression:
b. Use your expression to find the total cost of 8 games.
Cost of 8 games: $
do the ratios 8/16 and 2/4 form a proportion
Answer:
Step-by-step explanation:
8/16=8:16
2/4=2:4
Answer:
Yes, the ratios 2/4 and 8/16 form a proportion. To check if two ratios form a proportion, you can cross-multiply and see if the products are equal. In this case, 2 x 16 = 4 x 8 = 32, so the products are equal. Therefore, the ratios form a proportion.