Solved previously.The altitude to the hypotenuse of a triangle with angles of 30 and 60 degrees is 3 units. What is the area of the triangle, in square units

Answers

Answer 1

Answer:

6√3 square units

Step-by-step explanation:

The ratios of side lengths in a 30°-60°-90° triangle are 1 : √3 : 2. Using this fact, we can find the lengths of the orthogonal sides of the triangle to be ...

3(2/√3) = 2√3 . . . . side AB in the attached figure

and

2·3 = 6 . . . . . . . . . . side AC in the attached figure

Then the area of the triangle is ...

A = 1/2bh

A = 1/2(6)(2√3) = 6√3 . . . . square units

Solved Previously.The Altitude To The Hypotenuse Of A Triangle With Angles Of 30 And 60 Degrees Is 3

Related Questions

Thomas invested $1498.00 at 6% simple interest per annum calculate How long it will be before his investment earns $449.40

Answers

Answer:

t = 6 years

Step-by-step explanation:

Use the simple interest formula: i = prt, where p is the principal, r is the interest rate as a decimal fraction, and is the elapsed time, in years.

Here we want to know how long it will take for the interest alone to reach $449.40. We first solve i = prt for t, obtaining t = i/(pr).

Here, the length of time is t = ($449.40) / (0.06*$1498.00). This works out to

t = 5.9947, or approximately 6 years.

t = 6 years

a large bottle of juice contains 500 milliliters of juice. a medium bottle contains 70% as much juice as the large bottle. how many milliliters of juice are in the medium bottle.(can you include a number line? thanks!)

Answers

Answer:

350 millilitres

Step-by-step explanation:

70/100×500=350

The other option is 32

Answers

Here, CD and DE are equal.Therefore, by the problemCD = DEor, 7a + 11 = 10a + 2or, 10a - 7a = 11 - 2or, 3a = 9or, a = 3Therefore, CD = 7a + 11 = 7(3) + 11 = 21 + 11 = 32

Answer:

Hope you could get an idea from here.

Doubt clarification - use comment section.

If you roll two fair six-sided dice, what is the probability that the dice show the same number?

Answers

Answer:

mom will let you know

Step-by-step explanation:

shes gone

1/6 times 1/6 equals 1/36 because 1 times 1 is one and 6 times 6 is 36

please help asap for brainlist

Answers

Answer:

it's (2,-4)

hope it helps

What is the value of log3 27?

Answers

Answer:

Logarithm base 3 of 27 is 3 .

Step-by-step explanation:

hope it helps

Answer:

Step-by-step explanation:

27 = 3 x 3 x 3 = 3³

log3 27

= log3 3³

= 3 log3 3

= 3 x 1

= 3

Note : -

Formulas : -

Logn n = 1

Logn n^n = n Logn n

Select the expression NOT equivalent to 32 + 40x.

8(5x + 4)

(8 + 5x)4

4(4 + 10x) + 16

15x + 25x +2(16)

Answers

Answer:

dsadh

Step-by-step explanation:

Answer: (8+5x)4

Explanation: if u multiply it out you will get 8•4 + 5x•4 = 32+20x

PLZ SOMEONE HELP ME
NO LINKS PLz

Answers

Answer:

-11[tex]\leq[/tex]x[tex]\leq[/tex]8

Step-by-step explanation:

The two points are filled in circles at -11 and 8, meaning anything inbetween them is part of the domain.

Type the expression that results from the following series of steps:
Start with 6 and subtract
z

Answers

6-z

Z-6 would be wrong because the question said start with 6

The general equation for the geometric sequence -1, -2, -4, ... is a n = -1 · 2 n - 1 .

TrueFalse

Answers

[tex]\text{First term,}~ a = -1\\\\\text{Common ratio,}~ r = 2\\\\\text{Nth term} = ar^{n-1}=-1\cdot 2^{n-1}\\[/tex]

Answer:

true

Step-by-step explanation:

I had same question and said true so then it marked my as correct but then my computer screen turned black because its gay

If the 3rd term in an arithmetic sequence is 10 and the sum of the 1st 6 terms is 72. The fifth term is.

Answers

Answer:

5th term = 18

Step-by-step explanation:

a1 + a1+d a1 + 2*d a1+3d a1 + 4*d a1 + 5d

a1 + 2d = 10

6*a1 + 15d = 72

Multiply the first equation by 6

6a1 + 12d = 60

Write the above equation underneath the second equation

6a1 + 15d = 72

6a1 + 12d = 60 Subtract

3*d = 12 Divide by 3

d = 12/3

d = 4

a1 + 2d = 10

a1 + 2*4 = 10

a1 + 8 = 10 Subtract 8 from both sides

a1 - 8 = 10- 8

a1 = 2

The fifth term is

t5 = 2 + 4*4

t5 = 18

A flower bed is in the shape of a triangle with one side twice the length of the shortest side, and the third side is 19 feet more than the length of the shortest side. Find the dimensions if the perimeter is 167 feet.

PLS PLS HELP

Answers

just do 19 times 167 that’s what i always do it does work all the time tho you have to take a risk tho amen

2 dot plots. The highlands have a mean rainfall of 15.27 millimeters, and the Lowlands have a mean rainfall of 12.05 millimeters. Analyze the dot plots. What is the approximate difference between the means of the two data sets to the nearest whole number? mm

Answers

Answer:

the answer to your question would be 3mm hope you have a wonderfull day!

Answer:

3 mm

Step-by-step explanation:

In ADEF, m must be true?
Plssss need helpppp

Answers

Answer:

E. FD<DE<EF

Step-by-step explanation:

First I needed to find the other angle which I found by adding the two angles that were given.

103 +14 =117

180 - 117= 63

then to find which sides were the longest I looked and the angles and found their corresponding sides.

<D went with side FE

<F went with side DE

<E went with side FD

The smallest angle was <E therefore the smallest side was FD

The middle angle was <F therefore the medium side was DE

The largest angle was <D therefore the smallest side was FE

I hope this helps!!

Please tell me if I have made a mistake enjoy learning from them!!

If I am correct could you please mark me brainliset? I am trying to level up!!

Thank you for your time:)

Lorraine is picking blackberries in her backyard at a rate of 15 berries per minute. After 16 minutes of picking, there are still 137 blackberries left to pick. Write an equation that models how many berries are left (y) after x minutes of picking. Write your answer as using numbers, letters, and symbols - do not use spaces.

Answers

137 - 16X = Y

Since Lorraine is picking blackberries in her backyard at a rate of 15 berries per minute, and after 16 minutes of picking, there are still 137 blackberries left to pick, to determine an equation that models how many berries are left (y) after x minutes of picking, the following calculation must be performed:

137 - 16X = Y

Thus, for example, after 5 minutes the calculation would be as follows:

137 - 16 x 5 = Y 137 - 80 = Y 57 = Y

Learn more about maths in https://brainly.com/question/25989509

2,826 rounded to the nearest tenth

Answers

Answer:

2,830

Step-by-step explanation:

Select the graph of the equation y + x + 3 = 0.

Answers

Answer:

Step-by-step explanation:

The picture I took is underneath.

Round your answer to the nearest hundredth

Answers

Answer:

9.49

Step-by-step explanation:

Using the Pythagorean Theorem, we know a²+b²=c².

So 3²+9²=(BA)²

9+81=(BA)²

90=(BA)²

From this, we know BA=√90

BA=9.486

Rounding to the nearest hundredth, this is 9.49

Please consider a brainliest! Thank you!

PLSSSS HELPPPPPPOP
Solve each equation for the indicated variable
1) G = 6x , for x
2) U = 2x - 2 , for x
3) Z = m - x , for x
4) G = ca , for a
5) U = x - k , for x
6) G = c + x , for x
7) U = k/a , for a
8) g = xc , for x
9) 12 am = 4 , for a
10) -3 x + 2c = - 3 , for x
11) am = n + p , for a
12) U = ak/b , for a
13) a - c = d - r , for a
14) xm = np , for x

Answers

Answer:

Step-by-step explanation:

1) G = 6x , for x: G/6

2) U = 2x - 2 , for x: (1/2)U + 1

3) Z = m - x , for x: m - Z

4) G = ca , for a: G/c

5) U = x - k , for x: U + k

6) G = c + x , for x: G - c

7) U = k/a , for a: k/U

8) g = xc , for x: g/c

9) 12 am = 4 , for a: a = 1/(3m)

10) -3 x + 2c = - 3 , for x: x = 1 +(2/3)c

11) am = n + p , for a: (n+p)/m

12) U = ak/b , for a: U(b/k)

13) a - c = d - r , for a: a = d - r + c

14) xm = np , for x: np/m

Paul has thirteen coins in his piggy bank. Some of the coins are quarters, some are nickels, and he has a total of $3.55. Which system of equations can be used to determine how many quarters, x, and how many nickels, y, he has?

A.
x + y = 13
0.25x + 0.5y = 3.55

B.
x + y = 13
0.25x + 0.05y = 3.55

C.
x + y = 13
25x + 5y = 3.55

D.
x + y = 3.55
0.25x + 0.05y = 13

Answers

Answer:

The answer is B

Step-by-step explanation:

you know that x is quarters which is .25 and you know that y is nickels which is .05

there are a total of 13 coins in the bank so x+y = 13

you also know that the 13 coins = 3.55

so plug in all that you know and the problem is

0.25x + 0.05y = 3.55

Tell if each statement about the equations y = log5x and y = 5% are true or false.
Explain your answers.
a) The graphs of the equations are symmetric to each other over line y = 0.
b) The equation y = 5* is the exponential form of y = log5x.
c) The functions are not inverses of each other.
d) The equations are symmetric over the line y = x.

Answers

Answer:

a) false b) false c) false d) true

Step-by-step explanation:

Answer:

a) false b) false c) false d) true

Step-by-step explanation:

Classify each of the following expressions by selecting the polynomial type.

9xy5

A)monomial
B)binomial
C)trinomial
D)polynomial

Answers

Answer:

i dont know just need points

Step-by-step explanation:

Sal's total profit on lunch specials for the next month is $1,593. The profit amounts are the same: $2 for each sandwich and $3 for each wrap. In a paragraph of at least three complete sentences, explain how the graphs of the functions for the two months are similar and how they are different.

Answers

Both still have the same profit. $2 for sandwiches and $3 for wraps. The only reason why there is a difference in the total amount is the change in number of sandwich or wrap sold in a given month. Therefore, next month's total sale is higher than last month's total sale making it safe to assume that the sale of sandwich or wrap is higher than last month's sale.

{hope this helps}

what is the percent increase in 300 and 375

Answers

Answer:

Step-by-step explanation:

Answer:

300/375=0,8

it decrease

mr John wants to put a fence around his farm. if the length of one side is 25m and the width is the same length what would be the amount of fencing needed?

Answers

Answer:

100 meters

Step-by-step explanation:

4 sides

1 side = 25 m

25m = width as well

so just multiply 25 by 4 to get your answer

Mr John needs to focus on outlining the width and length of the farm. Based on the length and width being the same length, the shape of the farm is a square. To make things simple, multiply the length of one side by four and you will have the exact amount needed to place a fence.

25m x 4 = 100m

So, Mr John needs about 100m of fencing to complete the construction of the fence surrounding his farm.

What is the y-intercept of the equation y = 3x - 1

Answers

Answer:

you have to go over one on the y axes then 3 up that would be your answer.

your y-intercept would be -1

1 mi = 1.6 km

How many miles are in 39.2 kilometers?

Answers

Answer:

24.35775

Step-by-step explanation:

Ty for points xd

Answer:

24.35 miles

Step-by-step explanation:

just divide 39.2 by 1.6

1/2-1/3x=-4 solve the equation

Answers

Answer: x=-21/2

Step-by-step explanation:

−

⋅

Answer:

x=27/2

Step-by-step explanation:

1/2-1/3x=-4

subtract 1/2 from both sides

1/2+-1/3x -1/2=-4 -1/2

Group like terms

-1/3 ⋅ x +1/2+(-1/2)=-4 -1/2

Combine the fractions

-1/3 ⋅ x+0=-4 -1/2

Convert the integer into a fraction

-1/3 ⋅ x=-8/2 -1/2

Combine.

-1/3 ⋅ x= -9/2

Isolate the x:

-1/3x ⋅ 3/-1= -9/2 ⋅ 3/-1

1x=-9/2 ⋅ 3/-1

x= -9 ⋅ -3/2

x=27/2 as your answer

Here's the Question ~

[tex] {2 - 1}^{2} [/tex]

Answers

Answer:

The answer is 1

Step-by-step explanation:

1² = 1×1

= 1

2 - 1² = 2 - 1

= 1

what is the measure of angle W?

Answers

Answer:

really to easy

x=35

w=81

t=70

c=151

Step-by-step explanation:

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