The altitude to the hypotenuse of a right triangle divides the hypotenuse into 15 inches and 30 inch segments. Explain or show how to find the exact length of the altitude including the correct value. Then explain or show how to find the length of each leg including the correct values.

Answer:

im not good with trigangles but illtry to help

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]sin60=\frac{HR}{72}\\ \\ HR=72sin60\\ \\ \text{They are checking to see if you know the relationships of the 30,60,90 triangle whos sides opposite of those angles are }1,\sqrt{3},2\\ \\ sin60=\frac{\sqrt{3}}{2}\\ \\ HR=\frac{72\sqrt{3}}{2}\\ \\HR=36\sqrt{3}[/tex]

Answer:

1. 151.29 in.²

2. 413 km²

3. 75 cm²

Step-by-step explanation:

1. 12.3 in. × 12.3 in. = 151.29 in.²

2. 17.5 km × 23.6 km = 413 km²

The third is a parallelogram. To find the area of a parallelogram you multiply the base and height.

3. 15 cm × 5 cm = 75 cm²

For further calculation steps, look at these images:

These images are about multiplication and the decimal numbers in the problems have been converted to fractions.

Answer:

36% or  9/25

Step-by-step explanation:

35+36+29=100 so 100-35-29=64 and 36 are left so you divide 9/25 and you get 0.36 and you put it into a percentage and the answer is 36% or  9/25.

The probability it will be a student who prefers chicken is, 36/100.

Probability is a mathematical term, which can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. The possibility that an event will occur is measured by probability.

Probability of Event = Favorable Outcomes/Total Outcomes = X/n

Given that,

He surveys 100 students,

29 students select sub sandwiches,

35 select steak and gravy,

and 36 select fried chicken

The probability of selecting a student who prefers fried chicken can be found by dividing the number of students who prefer chicken by the total number of students surveyed:

36/100 = 36%.

This can also be expressed as a decimal or a percentage:

0.36 or 36%.

To know more about Probability check:

https://brainly.com/question/30034780

#SPJ6

Answer:

Step-by-step explanation:

a). Since, BC is perpendicular to the plane FEDC, measure of angle BCD = 90°

By applying Pythagoras theorem in ΔBCD,

BD² = BC² + CD²

BD² = (10)² + (24)²

BD = √676

BD = 26 cm

B). Surface area of the wedge = Sum of all the surfaces of the wedge

Area of BCD = Area of AEF = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                                             = [tex]\frac{1}{2}(10)(24)[/tex]

                                             = 120 cm²

Area of CDEF = Length × Width

                       = ED × CD

                       = 26 × 24

                       = 624 cm²

Area of BCFA = 10 × 26 = 260 cm²

Area of ABDE = ED × BD

                       = 26 × 26

                       = 676 cm²

Total surface area of the wedge = 2(120) + 624 + 260 + 676

                                                     = 1800 cm²

C). Volume of the triangular prism = Area of the triangular base × Height

                                                         = (Area of BCD) × DE

                                                         = 120 × 26

                                                         = 3120 cm³

d). By applying sine rule in the right triangle BCD,

sin(∠BDC) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

                 = [tex]\frac{BC}{BD}[/tex]

m(∠BDC) = [tex]\text{sin}^{-1}(\frac{10}{26})[/tex]

               = 22.6°

Answer:

Step-by-step explanation:

2, 405,008 .097

2 * 1,000,000  ---> 2 Million

4 * 100,000    ----> 4 hundred thousand

0                   -------> ten thousand

5  * 1,000      ----------> 5 thousand

8*1             ------------> eight

0              --------------> tenth

9 * (1/100) -------------> nine hundredth

7 * (1/1000) ----------> seven thousandth

Answer:

(2b+ 5) (4x-3y)

Step-by-step explanation:

8bx -15ay-6by +20ax

2b (4x -3y) +5 (4x-3y)

(2b+ 5) (4x-3y)

9514 1404 393

Answer:

  (b)  (1, 1/6)

Step-by-step explanation:

The "unit rate" is always the y-value for x=1 when the relationship is proportional (as it is here).

That point is not specifically shown on the graph. It would be (1, 1/6).

Answer: B.

Step-by-step explanation: I got it right on edg.

Answer:

-1

Step-by-step explanation:

-5 -(-4)

- 5 + 4  =    (two negatives together make a positive sign)

-1

Answer:

-1

. . .. . . . . . . . . .. . . . .

Answer:

Originally there were 2 liters.

Step-by-step explanation:

--

3/8 of the orange juice = 3/4 liter

1/8 of the orange juice = 3/4 ÷ 3

1/8 of the orange juice = 3/4 x 1/3

1/8 of the orange juice = 1/4 liter

Find 8/8, which is one whole.

1/8 of the orange juice = 1/4 liter

8/8 of the orange juice = 1/4 x 8

8/8 of the orange juice = 2 liters

There were originally 2 liters of orange juice in the container

Answer:

1kg/2.2lbs = 48kg/x

1kgx = 105.6

x = 105.6lbs

B

Answer:

$797.30 or B on egunty :

)

Answer:

The answer is B.$797.30 on Edge 2021

1.88*10^10 miles

Step-by-step explanation:

(430,000m/h)*(24 hours/ 1 day)*(365 days/ 1 year)*(5years)

Everything but miles cancels out,

430,000*(24*365*5) = 18,834,000,000miles

Or, 18.8 billion miles

Or, 1.88*10^(10) miles

Answer:

[tex] \frac{ \sqrt{7} }{2} [/tex]

Step-by-step explanation:

The triangle is an isosceles triangle. Because the triangle is an isosceles triangle, the height and base of the triangle are equal to eachother.

a² + b² = c²

right now we have c² which is 7

a² + b² = 7

[tex] \frac{ \sqrt{7} }{2} [/tex]

because a² and b² are = to eachother

now im lost dony listen to me lol.

Answer:

Much like when you divide by a negative number, the sign of the inequality must flip! ... When you multiply both sides by a negative value you make the side that is greater have a "bigger" negative number, which actually means it is now less than the other side!

Step-by-step explanation:

Answer:

It switches sides

Step-by-step explanation:

Example 2<4, 2<4(-2)=2<-8

Step-by-step explanation:

4x and 6x sit on a straight line therefore must equal to 180°

4x+6x = 180° (∠'s on str. line)

10x = 180

x= 180/10

x= 18

Then we need to find ∠UYV

∠UYV = 4x

=4(18)

=72°

So ∠UYV = 72°

Answer:

study lol

Step-by-step explanation:

Answer: $87.50

Step-by-step explanation:

Did a short way I learned.

Since we are marking down did

100%-30% = 70%

Convert it into a decimal:0.7

Did 125(0.7) and got 87.50.

I am 100% sure this is right.

Answer:

22

Step-by-step explanation:

If x = 5, then plug 5 in for x .

3(5) + 7

15 + 7 = 22

Answer:

22

Step-by-step explanation: 3x + 7

3*5 = 15

15+7=22

Answer:

B.   x < -4  and x > 3

Step-by-step explanation:

Factor and set = to 0

[tex]x^{2} + x - 12\\( x + 4)(x - 3)[/tex] = 0

x = - 4  or x = 3     I call these critical values

The two numbers would divide a number line into 3 intervals.  Pick a value in one of the intervals and put it in the original expression.  If it makes the function positive, then all the values in that interval make the function positive.  If the value you picked makes the function negative, then the values in the other intervals will make the function negative.  Let's pick the value of 0 and substitute it into the function

We get [tex]0^{2}[/tex] + 0 - 12 = -12 which is not positive.  Therefore, all the values between -4 and 3 will make the function negative.  So, the values less than -4 or greater than 3 will make the function positive.  Therefore, B is the correct answer.

Another way to do this problem is to graph the function and see where the graph is above the x-axis.  But, sometimes it is not easy to graph the function.

Answer:

i) The approximate solutions are: [tex]x_{1} \approx -0.207[/tex], [tex]x_{2} \approx 1.207[/tex].

ii) The approximate solutions are: [tex]x_{1}\approx -0.5[/tex], [tex]x_{2} \approx 1.5[/tex].

Step-by-step explanation:

i) The best approach to estimate graphically the solution of [tex]4\cdot x^{2} - 4\cdot x - 1 = 0[/tex] is graphing the following system of equations:

[tex]y = 4\cdot x^{2}-4\cdot x - 1[/tex] (1)

[tex]y = 0[/tex] (2)

And labeling the points in which both intersects each other. We include the result in the image 'solution-i'. The approximate solutions are: [tex]x_{1} \approx -0.207[/tex], [tex]x_{2} \approx 1.207[/tex].

ii) The best approach to estimate graphically the solution of [tex]4\cdot x^{2} - 4\cdot x - 1 = 2[/tex] is graphing the following system of equations:

[tex]y = 4\cdot x^{2}-4\cdot x - 1[/tex] (1)

[tex]y = 2[/tex] (2)

And labeling the points in which both intersects each other. We include the result in the image 'solution-ii'. The approximate solutions are: [tex]x_{1}\approx -0.5[/tex], [tex]x_{2} \approx 1.5[/tex].

Given:

Principal = Rs. 6000

Rate of simple interest = 6% per annum.

Time = 4 years

To find:

The simple interest and amount.

Solution:

Formula for simple interest:

[tex]I=\dfrac{P\times r\times t}{100}[/tex]

Where, P is principal, r is the rate of interest and t is the number of years.

Putting P=6000, r=6 and t=4, we get

[tex]I=\dfrac{6000\times 6\times 4}{100}[/tex]

[tex]I=60\times 6\times 4[/tex]

[tex]I=1440[/tex]

Now,

[tex]Amount=Principal+Interest[/tex]

[tex]Amount=6000+1440[/tex]

[tex]Amount=7440[/tex]

Therefore, the simple interest is Rs. 7440 and the amount is Rs 7440.

Answer:

0.875

Step-by-step explanation:

you just divide 7 by 8, and you would get 0.875

7/8=0.875

Answer:

Step-by-step explanation:

It will hit the ground when height is equal to zero.

-16t^2+64t=0

-16t(t-4)=0

t=4 seconds

The other persons right,

it will take 4 seconds for the ball to hit the ground.

Hope this helps<3

Answer:

d) AAS

Step-by-step explanation:

The angles shared where the triangles share a vertex are equal. Thus Angle-Angle-Side proves congruency.

Answer:

the fist one is D) 63.5

the second one is A) 32.9

i hope these are the answers you are looking for

Step-by-step explanation: