Given:
LMN is an equilateral triangle.
LM = LN = MN = 12 cm
To find:
The height of the triangle h.
Solution:
In a right angle triangle,
[tex]\sin \theta=\dfrac{Opposite}{Hypotenuse}[/tex]
[tex]\sin (60^\circ)=\dfrac{h}{12}[/tex]
[tex]\dfrac{\sqrt{3}}{2}=\dfrac{h}{12}[/tex]
Multiply both sides by 12.
[tex]\dfrac{\sqrt{3}}{2}\times 12=\dfrac{h}{12}\times 12[/tex]
[tex]6\sqrt{3}=h[/tex]
Therefore, the height of the triangle is [tex]6\sqrt{3}[/tex] cm.
PLEASE HELP!!!
Paula can spend no more than $500 for a photographer to take specialty photos for the dinner. Aerial photos from a drone cost $25 each, and wide-angle photos cost $50 each. Part A Write an inequality that represents the number of each type of photo that Paula can buy. Let x equal the number of aerial photos and y equal the number of wide-angle photos.
Answer:
25x + 50y <= 500
The lunch choices last Friday were mushroom or pepperoni pizza. The cafeteria made 10
pizzas in all, 4 of which were mushroom pizzas. What percentage of the pizzas were
mushroom pizzas?
Answer:
40%
Step-by-step explanation:
4/10=.40
.40=40% as a percentage
Thomas buys a cardboard sheet that is 8 by 12 inches. Let x be the side length of each cutout. Using complete sentences, explain the connection between the cutout and the volume of the box.
Answer: V = (12in - 2*x)*(8 in - 2*x)*x
Step-by-step explanation:
So we have a rectangular cardboard sheet, and we cut four squares of side length x in each corner so we can make a box.
Remember that for a box of length L, width W and height H, the volume is:
V = L*W*H
In this case, the length initially is 12 inches, but we remove (from each end) x inches of the length, then the length of the box will be:
L = 12 in - 2*x
For the width we have a similar case:
W = 8in - 2*x
And te height of the box will be equal to x, then:
H = x
This means that the volume is:
V = (12in - 2*x)*(8 in - 2*x)*x
Here we can see the connection between the cutout and the volume of the box
find the slope of the line graphed below.
Answer:
5/6
Step-by-step explanation:
Find the exact value of x.
Answer:
x = 15
Step-by-step explanation:
use pythagorean theorem (a^2+b^2=c^2)
you have c^2 and one of the sides so you just reverse the equation and do
17^2-8^2
and that gives you 225
when you [tex]\sqrt{225}[/tex], you get 15 as your answer
Education researchers are interested in the workload expectations of freshmen at a local university. Since all of the
freshmen are randomly placed into freshman seminar classes the researchers randomly select 3 freshman seminar
classes and survey all of the students within those classes. Which sampling method was used?
Answer: cluster sampling
Step-by-step explanation: got it right on edge:)
Answer:
A
Step-by-step explanation:
Nora bought a car last year so that she could drive to work after school. She spent $250 last year for gas. This year she spent $295.
Disregarding other factors, what is the inflation rate?
18%
19%
20%
21%
PLEASE HELP ASAPPP THIS IS QUESTION 30
Find the theoretical probability of rolling a number cube labeled 1-12 and
it landing on 7.
Answer:
1/12
Step-by-step explanation:
There are 12 sides, and 7 is one of them. Therefore, there is a 1/12 chance of it landing on that side if it is a fair cube.
HELP PLEASE!!!
This meal costs $14.00.
A 7% sales tax is applied, followed by an automatic tip of 18%.
What is the total with tax and tip?
Answer:
17.6764$
Step-by-step explanation:
14 * 1.07 = 14.98$
14.98$ * 1.18 = 17.6764$
The tax is $0.98 and tip is $2.52
what is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Original Cost = $14
Tax = 7%
So, Price after tax = 14 + 7% of 14
= 14 + 0.98
= $14.98
and, after 18% tip = 14 + 18% of 14
= $16.52
Hence, the tax is $0.98 and tip is $2.52
Learn more about Unitary Method here:
https://brainly.com/question/22056199
#SPJ2
Mr. DiBello ordered pizzas for a party and organized the information into a table. If Mr. DiBello paid a total of $121.55, how many large pizzas did he order?
Can someone please help me out?
Answer:
Ligh blue
Step-by-step explanation:
Answer:
3w + 5 :)
Step-by-step explanation:
the figure below shows a 60 foot pole held in place by wires anchored at point B, 40 feet from the base of the pole.
Answer: A: 21.4
Step-by-step explanation:
For the figure, on the pole where, tower is attached, the measure of side DC is 21.4 feet.
What is right angle triangle property?In a right angle triangle, the ratio of the opposite side to the adjacent side is equal to the tangent angle between them.
[tex]\thn \theta=\dfrac{b}{a}[/tex]
Here, (a) is the adjacent side, (b) is the opposite side and [tex]\theta[/tex] is the angle made between them.
The height of the pole is 60 foot. Therefore,
[tex]AC=60\rm ft[/tex]
The distance of the wire from the base of the pole is 40 feet. Therefore,
[tex]BC=40\rm ft[/tex]
Therefore, the tangent angle can be given as,
[tex]\tan\angle(ABC)=\dfrac{60}{40}\\\angle(ABC)=\tan^{-1}(1.5)\\\angle(ABC)=56.31^o[/tex]
The angle DBC is half of the angle ABC. Thus,
[tex]\angle(DBC)=\dfrac{56.31}{2}\\\angle(DBC)=28.15^o[/tex]
Now, again in the triangle DBC, the tangent angle can be given as,
[tex]\tan(28.15)=\dfrac{DC}{40}\\DC=21.407\rm ft[/tex]
Hence, on the pole where, tower is attached, the measure of side DC is 21.4 feet.
Learn more about the right angle triangle property here;
https://brainly.com/question/22790996
What does x equal when y=5
Hakeem went shopping for a new pair of sneakers because of a sale. The store was offering a 40% discount. What number should he multiply the prices on the tags by to find the price he would have to pay, before tax, in one step?
Answer: 60% or 0.6
Step-by-step explanation:
A discount simply means the amount that is deducted from the normal cost of a good or service.
In the question above, the store was offering 40% as discount, this means that he'll only pay 60% of the price of the good. Note that (100% - 40% = 60%).
Therefore, the number that he should multiply the prices on the tags by to find the price he would have to pay will be 60% = 0.6.
What's the answer to 1.6(2.5-10)+8.2=???
Answer:
-3.8
Step-by-step explanation:
1.6(2.5-10) + 8.2
1.6(-7.5) + 8.2
-12 + 8.2
-3.8
Answer:
-3.8
Step-by-step explanation:
1.6 * 2.5 = 4
1.6*-10 = -16
4-16+8.2
4-16 = -12
-12+8.2 = -3.8
5•s
indicate multiplication using parentheses and then without using a raised dot or parentheses.
Answer:
5s
Step-by-step explanation:
Algebraic rule
s is a variable and it is an unspoken rule to multiply them if they are next to one another without a mathematical sign
express a-9 with a positive exponent
Answer:
[tex]a-9^{1}[/tex]
Hope that helps!
Step-by-step explanation:
Answer: [tex]a-9^{1}[/tex]
i need help really bad because this is confusing
face north. do a 1/4 turn clockwise which way will i be facing
Answer:
You will be facing in a 90 degree angle.
Step-by-step explanation:
Did you mean like on a compass?
Answer:
East
Step-by-step explanation:
When is the power to power rule used?
Answer:
The "power rule" tells us that to raise a power to a power, just multiply the exponents.
Step-by-step explanation:
math
1. Which expression is equivalent to c+C -0.44?
A. 1.44c
B.1.56c
C c-0.44
D.2c -0.44
Please help RN please
Answer:
I think B but Im not 100% sure
write an expression thats is equivalent to 8(a+5)
Answer:
8a+40
Step-by-step explanation:
8(a+5)
Distribute the (8) by multiplying it by the (a) and the (5).
what is the value of 16 to the power 3/4
Answer:
Step-by-step explanation:
[tex]16^{\frac {3}{4}[/tex] = [tex]\sqrt[4]{16^{3}}[/tex]
So, 16 to the power of 3 equals 4096
[tex]\sqrt[4]{4096}[/tex] = [tex]\sqrt[4]{8^{4}}[/tex]
=8
What is
3/4
÷
1/8
?
explain your reasoning
Answer:
6
Step-by-step explanation:
when you divide fractions you can "flip" the second fractions and multiply instead.
So you can do:
3/4 * 8/1 which equals 24/4 which simplifies to 6
Answer:
The answer is 6.
Step-by-step explanation:
If you have to do division with 2 different fractions you have to make them have equal denominators. The way you do this is that you multiply 4 x 2 in order to make the denominator of 3/4 turn into 8 and since the rule is whatever you do to the bottom you have to do to the top 3/4 turns into 6/8 because you multiply 3 x 2. Then you see how many times you can put 1/8 into 6/8. The answer for this is 6. Afterwards in order to make sure your answer is correct you do 1/8 x 6/1, (6). Since 1/8 x 6 is 6/8, your answer is correct.
Find the new amount if the original amount is 74 degrees and the percent of decrease is 3%. Round to the nearest tenth. Show all work.
answer for a brainlist!!!
Answer:
71.78? (not sure)
Step-by-step explanation:
To find 3% of 74, 74*.03 = 2.22
Subtract 3%, 74-2.22 = 71.78
3. i will give brainliest if u get it right
Answer:
choice C) 44
Step-by-step explanation:
it's fuzzy but if I read it correctly,
5Z-16 = 3Z+8
2Z = 24
Z = 12
FG = 3(12) + 8
FG = 44
You have $35 in your bank account and deposit $2.50 each week. At the same time, your cousin has $115 but is withdrawing $7.50 each week. When will the accounts have the same balance? How much will they have?
What are the variables and equations, and how do you solve?
Answer:
$55
Step-by-step explanation:
Let w = the no. of weeks
35 + 2.50w = amount you will have in the account after w weeks
115 - 7.5w = amount cousin will have in the account after w weeks
You need to set these expressions equal to each other.
35 + 2.50w = 115 - 7.5w Multiply thru the equation
by 10 to remove the fractions
350 + 25w = 1150 - 75w
100w = 800
w = 8 weeks
35 + 2.50w = 35 + 2.5(8) = 35 + 20 = $55
115 - 7.50w = 115 - 7.50(8) = 115 - 60 = $55
ILL GIVE BRAINLIEST IF YOU SOLVE THIS NO WORK NEEDED
Answer:
cosA = AB/ AD = AC/BC is the correct one.
Please help me:((( George has a square garden with an area of 25 square feet. He doubles both the length and width of his garden. State the letters and answers to the questions given. a. Draw a diagram to show George's garden after its length and width are doubled. State the length and width of the new square. b. What is the new area of his garden? C. How many times greater is his new garden's area than his original garden's area? 25 sq ft
Identify the slope and y-intercept of the line with the given equation.
SLOPE
y-intercept
5
y= 3x +4
6
y=-2x + 8