What is the area of ΔXYZ below?
Select the best answer from the choices provided. A. 9√3 4 B. 9√3 3 C. 9√3 2 D. 9√3
Answers
Step-by-step explanation:
We need to find the height of the triangle first.
Height=>sin(60°)=h/3 but sin(60°)=√3/2
h=3×√3/2=3√3/2
Area=½×base×height
A=½×3×3√3/2
A=9√3/4
Answer is option A
Related Questions
16) The diameter of a circle is 3/4ft. Find the radius.
17)The radius of a circle is √13 cm. Find the diameter. Leave your answer in simplest radical form
41) Given the equation (x+5)^2+y^2 =75 identify the circle's center and the length of its radius. Leave your answer in simplest radical form.
42) Given the center of a circle lies at (6,-3) and the diameter has a length of 14, write the equation of the cirlce
Answers
Answer:
16) diameter = 2×radius
3/4 ft = 2×r
r = 3/8
17) 2×radius = diameter
2×√13 = 2√13 cm
42) center = (6,-3)
radius = 14/2
= 7
[x-(6)]²+[y-(-3)]² = 7²
(x-6)²+(y+3)² = 49
Please help me solve this
Answers
Answer:
[tex]x = 7[/tex]
Step-by-step explanation:
Both angles are the same because of similar angles being the two horizontal lines are parallel. All we have to do is solve the equation when we make the angles equal to each other. Follow the steps below.
[tex]9x + 7 = 10x \\ 7 = x \\ x = 7[/tex]
PLEAEEE HELP ILL GIVE BRAINLIEST
Answers
(3x + 3x²) + (2x² + 2x)?
Answers
Answer:
=5x2+5x
Step-by-step explanation:
Let's simplify step-by-step.
3x+3x2+2x2+2x
Sophia saves $30 every month to her savings account. She withdrew $120 one time to go Christmas shopping. She now has $330 in her account. How many months has she been saving money?
Answers
Answer:
15 months
Step-by-step explanation:
330+120=450, and 450 divided by 30 equals 15. Therefore, Sophia has saved $30 to her savings account every month for 15 months.
pls help LOL will give brainliest!
The ratio of the measures of the interior angles in a given triangle is 13:23:9. what is the measure, in degrees, of the most acute angle?
Answers
Answer:
36 degrees
Step-by-step explanation:
So, first of all, the interior angles of any triangle add up to 180.
First, you add up all the numbers in the ratio.
13+23+9=45
180/45=4 [To find out how much each piece really equals]
So, now that we know what each piece equals, the most acute triangle was the one that said '9' in the ratio.
4*9=36
Hope it helped, tell me if it's wrong, I'll correct it.
Answer:
36
Step-by-step explanation:
Ratio = 13 : 23 : 9
The interior angles are = 13x , 23x , 9x
13x + 23x + 9x = 180 {Angle sum property}
45x = 180
x = 180/45
x = 4
Most acute angle = 9x = 9*4 = 36
I need help with this question! Will mark brainliest :)
Answers
Answer:
y=3x-2
Step-by-step explanation:
you find the 3 (the slope) by seeing how much the y value grows
the -2 is the value of the y-intercept (more clear on a graph) but it's when the point is (0,__) so you subtract 3 from 1.
Answer:
The answer is the third option, y=3x-2
Explanation:
I'm horrible at explaining, but basically the y-axis is increasing by 3's so it's not negative, and to find the y-axis, we simply put a 0 ontop of the 1 in the x-axis, and across that we get -2 because the y-axis is increasing by 3's.
So sorry for my messy explanation, but I hope it helps :)
question 15: Given l∥m, find the value of x.
Answers
Answer:
x=8
Step-by-step explanation:
the addition of all the angles must equal 360(the 4 angles on the intersection) degrees
125+125=250
360-250=110
110/2=55
7*8-1=55
Help me with this answer I know there is no solution I just wanna know why
Answers
Answer:
The solution x = 0 means that the value 0 satisfies the equation, so there is a solution. “No solution” means that there is no value, not even 0, which would satisfy the equation. ... This is because there is truly no solution—there are no values for x that will make the equation true
Answer:
No solution
Step-by-step explanation:
The solution x = 0 means that the value 0. “No solution” means that there is no values
Two step problem: Aaron can type 40 words per minute. Jessica can type 55 words per minute. If Aaron and Jessica each type for 30 minutes, how many more words will Jessica type than Aaron?
Answers
Answer:
Step-by-step explanation:
Aaron types 40 wpm times 30 minutes = 1200 wpm.
Jessica types 55 wpm times 30 minutes = 1650 wpm.
Jessica’s types 450 more words per minute than Aaron.
A= 450 more than Aaron
Find the sum of 5
and 7
Step 2: Add the fractions by dragging each bar to the dot on
the number line
02 03 04 05 06 08 10 12
The expression written in equivalent form with common
denominators is
70 규
The sum is
V
The common denominator of both
fractions is 10
You can proceed to step 2
Answers
Answer:
[tex] \frac{10}{50} + \frac{35}{50} [/tex]
Sum: [/tex] \frac{9}{10} [/tex]
Step-by-step explanation:
Given, [tex] \frac{1}{5} [/tex] and [tex] \frac{7}{10} [/tex]
Expressing in an equivalent form whereby they would have a common denominator, we would multiply the numerator and denominator of each fraction by the denominator of the other fraction.
Thus, we would have:
[tex] \frac{1 \times 10}{5 \times 10} = \frac{10}{50} [/tex]
[tex] \frac{7 \times 5}{10 \times 5} = \frac{35}{50} [/tex]
[tex] \frac{10}{50} + \frac{35}{50} [/tex]
The sum is: [tex] \frac{10}{50} + \frac{35}{50} = \frac{10 + 35}{50} = \frac{45}{50} [/tex]
Simplify
[tex] \frac{45}{50} = \frac{9}{10} [/tex]
Give an example of a rational number that is NOT a whole number.
Answers
Answer:
−3, 8, 32, 7, -5
Step-by-step explanation:
The distance between two towns is 75 km. The distance between the two towns on a map is 1.5 cm. What is the scale on the map?
Scale = 1cm :
km
Answers
Answer:
50
..................
Step-by-step explanation:
1.5cm => 75km
1cm => 75km * (1/1.5) = 50km
Hence the scale of the map is 1cm : 50km.
a 15-inch candle burns down in 10 hours. at what rate does the candle burn in inches per hour
Answers
Answer:
5 inches per hour
Step-by-step explanation:
Answer:
1.5 inches per hour
Step-by-step explanation:
Which is a solution to the equation 7g-2=47
Answers
Answer:
g=7
Step-by-step explanation:
7g-2=47
+2 +2
7g=49
÷7 ÷7
g=7
The product of t and 6 is greater than 12
Answers
Answer:
A possible answer for t could be 3
Step-by-step explanation:
I honestly don't know if this is right, but yeah here ya go!
All values of t which are greater than 2 , are the solutions of given inequality.
Inequality :It is given that,
The product of t and 6 is greater than 12.
So that, inequality is,
[tex]6*t > 12[/tex]
Divide both side by 6.
[tex]6*t > 12\\\\t > \frac{12}{6} \\\\t > 2[/tex]
Therefore, all values of t which are greater than 2 , are the solutions of given inequality.
Learn more about the inequality here:
https://brainly.com/question/24372553
3) Determine if the ordered pairs represent a function.
{(2,3), (4,4), (2,5), (3, 8)}
Yes
No
Answers
George earns commission as a percentage of his tuxedo sales. On Tuesday, he sold $750 worth of tuxedos and earned $60
commission. What is George's commission rate?
Answers
Answer:
8%
Step-by-step explanation:
1% of 750 is 7.50
So 60 divided by 7.5 is 8
Solve for . need 20 letters lol
/5 = −9
Answers
Answer:
r=-45
Step-by-step explanation:
r/5=-9
x 5 x5
________________
r=-45
Hope this helps ∞<3
Help with these questions I´ll CASHAPP YOU 55$$
Answers
Answer:
umm ok srry this is confusing
Step-by-step explanation:
evaluate : 7^4×7^5×7^-9
pls solve to get brainiest
Answers
Answer:
1
Step-by-step explanation:
Using the rule of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex] and [tex]a^{0}[/tex] = 1
Given
[tex]7^{4}[/tex] × [tex]7^{5}[/tex] × [tex]7^{-9}[/tex]
= [tex]7^{(4+5-9)}[/tex]
= [tex]7^{0}[/tex]
= 1
5. A train travels two different routes: the North Route and the South Route. • On Monday, the train traveled the North Route 8 times and the South Route 10 times, traveling a total of 410 miles. • On Tuesday, the train traveled the North Route 15 times and the South Route 11 times, traveling a total of 575 miles. How long is each route?
Answers
Answer:
North Route is 20 miles, and South Route is 25 miles.
Step-by-step explanation:
Let the length of the North route be represented by x and that of the South route be represented by y.
On Monday,
8x + 10y = 410
On Tuesday,
15x + 11y = 575
So that,
8x + 10y = 410 .............. 1
15x + 11y = 575 ......... 2
Using substitution method, from equation 1;
x = [tex]\frac{410 - 10y}{8}[/tex] ................. 3
Substitute the expression for x into equation 2,
15([tex]\frac{410 - 10y}{8}[/tex]) + 11y = 575
multiply through by 8,
6150 - 150y + 88y = 4600
6150 - 62y = 4600
6150 - 4600 = 62y
1550 = 62y
divide through by 62 to have,
y = 25
Substitute the value of y in equation 3
x = [tex]\frac{410 - 10y}{8}[/tex]
= [tex]\frac{410 - 10(25)}{8}[/tex]
= 20
x = 20
Thus, North Route is 20 miles, and South Route is 25 miles.
Ben has been driving nonstop along a highway for 5 hours: The minimum speed permitted on the highway is 45 kph and the maximum speed permitted is 70 kph.Solve for the range of the distances d that Ben could trave legally traveled. Give your answer as an inequality.
Answers
Answer:
[tex]225\leq d \leq 350[/tex]
Step-by-step explanation:
5 * 45 = 225
5 * 70 = 350
Courtney works for the Red Cross and has been tasked with buying non-perishable items for families recently displaced by a hurricane. She finds a company willing to send her Meals-Ready-to-Eat (MREs) at a discounted price. Cases of small portion meals are $20.00 each and cases of large portion meals are $30.00 each. She buys a total of 20 cases and spends a total of $450.00.
Let x represent the number of small portion meals and let y represent the number of large portion meals. Write a system of equations, in terms of x and y, to model the situation. Enter your equations in the space provided.
Answers
9514 1404 393
Answer:
x + y = 2020x +30y = 450Step-by-step explanation:
The equation for the total number of cases is ...
x + y = 20
The equation for the total cost of the cases is ...
20x +30y = 450
_____
Additional comment
The solution to these equations is (x, y) = (15, 5).
Ten times a number increased by four is no more than twenty-five.
Answers
Answer:
10x + 4 < 25
Step-by-step explanation:
The correct answer is:
10x + 4 < 25
2y+ 3 = 15
I have to solve for y but it is complicated
Answers
Answer:
y=6
Step-by-step explanation:
2y = 15 - 3
2y = 12
y = 6
I hope this helps
2y+3-3=15-3
y=6
A local animal shelter has 600 cats and dogs. There are 2 times more cats than dogs. Let x represent the number of cats and let y represent the number of dogs. Which system of equations represents this situation?
Answers
Answer:
2x + y = 600
Step-by-step explanation
Answer:
1,200x + 600y or 2x + y= 600
Step-by-step explanation:
knowing that there are 600 cats and 2 times the amount of cats we will have 1,200 cats which is 1,200x + 600y
-3(2x-3)= -5x+5 show your work
Answers
Answer:
x=4
Step-by-step explanation:
Hope this helps!
Plz, mark brainiest! ^.^
Answer:
x = 4
Step-by-step explanation:
Use the distributive property to distribute the -3 amongst the 2x and the -3 in the parenthesis. Once distributed you should have -6x + 9 = -5x + 5. Next, you want to get all like terms on the same side, and to do that you must swap the +9 and the -5x. When you swap these, you must 'flip' the sign and change 9 to -9 and -5x to 5x. Now the equation should look like this: -6x + 5x = -9 + 5.
Now just solve. After solving, it should look like this: -1x = -4. Now to get rid of the negatives. Just divide each side by negative one and your answer is x = 4.
Freddy is buying wings and nachos for a party. A box of 10 wings cost $10.00. Nachos cost $4.00 per tray. He must spend less that $40.00 on the wings and nachos.
Using x to represent each box of wings and y to represent each tray of nachos, create an inequality that correctly represents the possible number of boxes of wings and trays of nachos Freddy can be and still be within his budget.
Answers
Answer:
10x + 4y < 40
Step-by-step explanation:
The creation of an inequality is as follows"
The cost of the 10 wings box = $10
The cost of nachos = $4 per tray
And, the amount that can be incurred less is $40
Based on the information,
The equation would be
10x + 4y < 40
Hence, the inequality equation is 10x + 4y<40
A statistics teacher announces to the class at the beginning of the semester that there is a 40% chance that a randomly chosen student will finish the semester with an A in the class and there is a 60% that a randomly chosen student will get an A on a test during the semester. Is the probability that a randomly chosen student receives an A in the class and an A on a test during the semester equal to 0.24? Yes, because the chance of getting an A on a test and getting an A in the class are mutually exclusive. Yes, because the chance of getting an A on a test and getting an A in the class are mutually exclusive. No, because the chance of getting an A on a test and getting an A in the class are not independent. No, because the chance of getting an A on a test and getting an A in the class are not independent. Yes, because the chance of getting an A on a test and getting an A in the class are independent. Yes, because the chance of getting an A on a test and getting an A in the class are independent. No, because the chance of getting an A on a test and getting an A in the class are not mutually exclusive.
Answers
Answer:
c. No, because the chance of getting an A on a test and getting an A in the class are not independent.
Step-by-step explanation:
brainly?