Triangle A B C is shown. Angle A B C is a right angle. An altitude is drawn from point B to point D on side A C to form a right angle. The length of A D is 5 and the length of B D is 12. What is the length of Line segment B C, rounded to the nearest tenth?What is the value of x? A) 13.0 units B) 28.8 units C) 31.2 units D) 33.8 units i know its not B

Answers

Answer 1

Answer:

  C)  31.2

Step-by-step explanation:

The length of AB can be found from the Pythagorean theorem:

  AB² = AD² +BD²

  AB = √(25 +144) = 13

All of the right triangles are similar, so ...

  BC/BD = AB/AD

  BC = BD(AB/AD) = 12(13/5)

  BC = 31.2 . . . units

Answer 2

Answer:

C

Step-by-step explanation:


Related Questions

Help anyone this is hard

Answers

Answer: Juanita

Step-by-step explanation: The question is referring to ratios of the lemon flavor. Juanita's lemonade is 4:2 and Lydia's is 5:3. 4:2 is a larger ratio than 5:3, so that means that Juanita's recipe has a higher concentration of lemon flavor.

Find the coordinates of the midpoint of a segment with the given
endpoints. S (10, 9), P (8,2) *

Answers

Answer:

(9,5.5)

Step-by-step explanation:

3k - 2c + 8
use k = 7 and c = 4

Answers

Answer:

21

Step-by-step explanation:

3 (7) - 2(4) + 8

21 - 8 + 8

13 + 8

21

Answer:

21

Step-by-step explanation:

3k - 2c + 8

k = 7 and c = 4

Substitute the values of k and c in the algebraic expression

3(7) - 2(4) + 8 = 21 - 8 + 8 = 21

-5 1/4 + -3 how do you solve this problem

Answers

Answer:

8 1/4(Decimal:-8:25)

Step-by-step explanation:

simplify:

-51/4 - 3

=8 1/4 (decimal:-8.25)

Answer:

The answer would be 8 1/4

Step-by-step explanation:

-5 1/4 + (-3)

let's start with the whole numbers:

-5 + (-3) = -8 because it's just like adding positives but add a negative sign

so then we just add the -1/4 and you get -8 1/4

*you have to put the second number in parentheses because its how you properly write the equation Ex: -2+8+(-3)+(-1 5/6)=...

* also note that when you add two negatives it becomes a positive!!!

Write the Pythagorean triplet whose one of the numbers is 4. Explain your method.

Answers

Answer:

3,4,5 is the Pythagorean triplet

Step-by-step explanation:

A pythagorean triplet is when you have 3 consecutive numbers (for example 1,2,3 or 9,10,11). So since they've already given one of the numbers you can try doing trial and error to find out(use different combinations like 3,4,5 or 4,5,6) and see whether the Pythagoras theorem applies to it.

plz help me im so stuck

Answers

to find B you have two multiply eight and six together which will get you 48 you put 48 in the place of B in the equation And since the height is 10 you would put 10 in the place of the H in the equation so now what you have to solve is V=1/3(48•10) 48×10 is 480 then you divide 480 by 3 which will get you 160 then you multiply 160 by 2 since there are two shapes so your answer would be 320 cubic inches

what is the ratio of boys and girls in a classroom of 18 girls and 27 boys

Answers

Answer:

2:3

Step-by-step explanation:

[tex]18\: girls \\ 27 \:boys\\\\Girls\:: Boys\\18 \: \:\:\:\:\:\:: 27\\\\Use\:3\:to\:divide\:through\\6:9 = 2:3\\[/tex]

Choose all the fractions that are equivalent to 1/8 HELP ME A.2/14 B .4/28 C.5/35 D.2/8 E.7/49 F.7/40

Answers

Answer:

None of the options seem to be equivalent to 1/8 but A, B, and C all are equivalent.

Step-by-step explanation:

Let's simplify each fraction as much as possible.

A:

2/14 = 1/7

B:

4/28 = 1/7

C:

5/35 = 1/7

D:

2/8 = 1/4

E:

7/49 = 1/7

F:

7/40 (cannot be further simplified)

I think you may have a typo in your question as there are no answers. However if the question is asking for 1/7, the answers are A, B, C, E.

Please help me with this probability Questions Pls Explain Thanks

Answers

Answer:

I think it's 1/2

Step-by-step explanation:

32+25 is 60 and the total number of students are 50, meaning 10 offer both, and your question says chemistry only so I guess you'll have to subtract the 10 from the 35.

therefore, 25/50= 1/2.

please help asap!! Thank youu

Answers

Answer: Option 2. x≥-78

Step-by-step explanation:

(x/-6)+2≤15

     x/-6≤13

         x≥-78 ⇔ REMEMBER you need to change the direction of the sign    

                         when you multiply/divide a negative number

Option 2. x≥-78

Hope this helps!! :)

Please let me know if you have any question

Answer: x bigger or equal to -78

Explanation:
x/-6 + 2 <_ 15
x/-6 <_ 13
x _> -78 (change sign when it’s negative)

The half-life of carbon-14 is 5600 years. If a piece of charcoal made from the wood of a tree shows only 72% of the carbon-14 expected in living matter, when did the tree die?

Answers

Answer:

t =2654.01465 year

Step-by-step explanation:

Given that the​ half-life of​ carbon-14 is 5600 years and if a piece of charcoal made from the wood of a tree shows only 72% of the​ carbon-14 expected in living​ matter.

we know

[tex]y=a(b)^{t/h}[/tex]

where y= final amount

a= initial amount

b= growth/decay

t= time elapsed

h= half time

plugging the values we get

[tex]0.72 =(\frac{1}{2})^{t/5600}\\[/tex]

taking log on both side

log 0.72 = t/5600 log(1/2)

solving we get t =2654.01465 year

Bernard's bird feeder holds 4 1/2 cups of birdseed. Bernard is filling the bird feeder with a scoop that holds 9/10 of a cup. How many scoops of birdseed will Bernard put into the feeder? Write your answer as a fraction or as a whole or mixed number.

Answers

Answer:

5 scoops

Step-by-step explanation:

Given

[tex]Feeder = 4\frac{1}{2}[/tex]

[tex]Scoop = \frac{9}{10}[/tex]

Required

Determine the number of scoop in a feeder

To do this, we simply divide the size of the feeder by the size of the scoop as follows;

[tex]Number = \frac{Feeder}{Scoop}[/tex]

[tex]Number = 4\frac{1}{2}/\frac{9}{10}[/tex]

Convert Fractions to improper

[tex]Number = \frac{9}{2}/\frac{9}{10}[/tex]

[tex]Number = \frac{9}{2}*\frac{10}{9}[/tex]

[tex]Number = \frac{9 * 10}{2 * 9}[/tex]

[tex]Number = \frac{90}{18}[/tex]

[tex]Number = 5[/tex]

Hence, there are 5 scoops in a feeder

What is the approximate value of 8√?

Answers

Answer:

B, between 2.8 and 2.9

Step-by-step explanation:

it is exactly 2.828427125

A factory produces 30,360 bolts in 12 hours. If the same number of bolts are produced each hour, how many bolts does the factory produce in 4 hours? The factory produces blank bolts in 4 hours.

Answers

Answer:

10,120

Step-by-step explanation:

72p-25p compine like terms

Answers

Answer:

47p

Step-by-step explanation:

Since both have coefficients times the same variable we can combine like terms

72p-25p

(72-25)p

47p

HELLLLLPPPPPP!!!!PLEASE!!!!!EASY!!!!!EASY!!!!!EASY!!!!!EASY!!!!!EASY!!!!!


EASY!!!!!EASY!!!!!EASY!!!!!EASY!!!!!EASY!!!!!EASY!!!!!EASY!!!!!EASY!!!!!EASY!!!!! EASY!!!!!EASY!!!!!EASY!!!!!EASY!!!!!EASY!!!!!PLEASE!!! IT IS SORT OF EASY!!!!!

Answers

Answer:

It would be B. Fuction 1 has the larger maximum at (4,1)

Step-by-step explanation:

because the maximum point for Fuction 1 is at (4,1) becuase that the highest point/vertex it goes.

You can use a graph to identify the vertex or you can find the minimum or maximum value algebraically by using the formula x = -b / 2a. This formula will give you the x-coordinate of the vertex. Simply replace the x in your original equation with the value of the x-coordinate and then solve for y.

Answer:

It would be B. Fuction 1 has the larger maximum at (4,1)  because the maximum point for Fuction 1 is at (4,1) becuase that the highest point/vertex it goes.

Step-by-step explanation:

A drink is made from 1.5 litres of orange juice and 7.5 litres of lemonade. What fraction of the drink is orange juice? (simplest form)

Answers

Answer: 1/6

==================================================

Explanation:

1.5 liters of orange juice

7.5 liters of lemonade

1.5+7.5 = 9 liters total

1.5/9 = 15/90 is the fractional amount of orange juice. Note how I multiplied top and bottom of the first fraction by 10 to get 15/90. This is the same as moving the decimal point 1 spot to the right for each value.

----------

From here you divide both parts by the GCF 15 to reduce

15/15 = 1

90/15 = 6

Meaning 15/90 = 1/6

So 1/6 of the drink is orange juice.

It is 1/6 !! :) hope this helps

the remainder when the polynomial f(x) =2x^3 + px^2 + qx 18 is divided by (x-1) is 10. When it is divided by x+1 the remainder is 12. Find the values of the consonants p and q

Answers

Answer:

p = 29 and q = -3

Step-by-step explanation:

Using long division, the remainder when we divide by x − 1 is p+q−16.  The remainder when we divide by x + 1 is p−q−20.

Therefore:

p + q − 16 = 10

p − q − 20 = 12

Add the equations together:

2p − 36 = 22

2p = 58

p = 29

Plug into either equation to find q:

q = -3

a student has 5 blouses 4 skirts and 4 sweaters in how many ways can she select an outfit comprising 3 items.

Answers

Answer:

80

Step-by-step explanation:

This is a combination question that contains multiple clothing items and to solve such question we multiply the given numbers :

5 × 4 × 4 = 80

there are 12 students in the gym class if 4 students can sit on 1 bench how many benches are needed for all the students

A. 12+4= 16

B. 12×4= 48

C. 12÷4= 3

E. 12-4= 8​

Answers

Answer:

C. 12÷4= 3 is correct

as in the question 4 students can sit on one bench than 4×3=12 which is equal to the total number of students in class.

Step-by-step explanation:

hope it will help ^_^

3 bench are needed for all students

What is unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value

We have

Students in the gym = 12

how many students can sit in 1 bench = 4

Based on the given conditions formulate:

12 ÷ 4 = 3

Hence , 3 bench are needed for all students and option C is correct.

learn more about unitary problem from here

https://brainly.com/question/21626677

#SPJ2

Solve & Justify: 7(x + 3) + 9 = 5(x - 2) - 3x

Answers

Answer:

x = -8

Step-by-step explanation:

[tex]7(x + 3) + 9 = 5(x - 2) - 3x\\\\\mathrm{Expand\:}7\left(x+3\right)+9:\quad 7x+30\\\\\mathrm{Expand\:}5\left(x-2\right)-3x:\quad 2x-10\\7x+30=2x-10\\\\\mathrm{Subtract\:}30\mathrm{\:from\:both\:sides}\\7x+30-30=2x-10-30\\\\Simplify\\7x=2x-40\\\\\mathrm{Subtract\:}2x\mathrm{\:from\:both\:sides}\\7x-2x=2x-40-2x\\\\Simplify\\5x =-40\\\\Divide both sides by 5\\\frac{5x}{5}=\frac{-40}{5}\\\\Simplify\\x = -8[/tex]

Justification [tex]7(x + 3) + 9 = 5(x - 2) - 3x\\x=-8\\\\7(-8+3)+9=5(-8-2)-3(-8)\\\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Calculate\:within\:parentheses}\:\left(-8+3\right)\::\quad -5\\=7\left(-5\right)+9\\\\=-35+9\\\\=-26\\\\5\left(-8-2\right)-3\left(-8\right)\\\\Follow\:the\:PEMDAS\:order\:of\:operations\\\\\mathrm{Calculate\:within\:parentheses}\:\left(-8-2\right)\::\quad -10\\=5\left(-10\right)-3\left(-8\right)\\\\=-50-3\left(-8\right)\\\\=-50-\left(-24\right)\\\\=-26\\[/tex][tex]-26 =-26[/tex]

Evaluate the square root of 121.

Answers

Answer:

It's 11

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

divide 121 by 11 then boom, there u go

10 points
Mr. Right spent $64.75 for five light fixtures and $12.50 for four light
switches. Each light fixture cost the same amount. How much did each
light fixture cost? *

Answers

Answer:

  $12.95

Step-by-step explanation:

Let L represent the cost of a light fixture. The amount Mr. Right paid is ...

  5L = $64.75

  L = $64.75/5 = $12.95

Each light fixture cost $12.95.

_____

You may notice that the light switches and their cost are irrelevant to the question.

Mark is paddling his kayak across a lake at a constant velocity of 64 meters
per minute to the east. He has 15 minutes to finish his trip before it gets
dark. How long will it take Mark to move 480 meters?

Answers

Answer:

7.5r minutes

Step-by-step explanation:

480 divided by 64 = 7.5

evaluate the expression

Answers

-53

Step-by-step explanation:

[tex] \frac{( { - 8)}^{2} }{5 - 9} - ( - 1)^2 + 4( - 9) \\ = \frac{64}{ - 4} - 1 - 36 \\ = - 16 - 1 - 36 \\ = - 52 - 1 \\ = - 53[/tex]

Find the volume of the rectangular prism below.
2 1/2yd
5 3/4yd
8 yd

Answers

I hope this helps you

Which line is perpendicular to y =
[tex] \frac{x}{2} [/tex]
+1​

Answers

If [tex]y=\frac{x}{2}+1[/tex] then [tex]y_{\perp}=-2x+1[/tex].

The slope in first line is [tex]1/2=0.5[/tex], therefore the slope of perpendicular line must be [tex]-1/0.5=-2[/tex].

Hope this helps.

find the sum: 9²+ 10²+11²+.........20².​

Answers

Answer:

             2666

Step-by-step explanation:

   9² + 10² + 11² + ......... 20² =

= 9² + 10² + 11² + 12² + 13² + 14² + 15² + 16² + 17² + 18² + 19² + 20² =

= 81 +100 +121 +144 +169 +196 +225 +256 +289 +324 +361 +400 =

= 2666

Ramona works in a clothing store where she earns a base salary of $140 per day plus 14% of her daily sales. She works on Saturday and Sunday. Assuming she sells the same amount on both days, how much will her sales have to be each day in order to earn at least $500 over the two days?
A. $1,572
B. $350
C. $648
D. $786

Answers

Answer:

A. $1572

Step-by-step explanation:

Saturday and Sunday Base Salary: 140+140 = 280

Subtract Base Salary: 500-280 = 220

Find Percent: (220/14)* x 100 = 1571.43

Round up: 1572

Answer:

A. $1,572

Step-by-step explanation:

She earns $140 per day as her base salary.

And she earns 14% of her daily sales for both days.

So 280 + 1, 292 = 1,572!

Hope dis helps! :P

- Anna

Write a real world problem involving multiplication by a decimal factor then solve the problem

Answers

Answer:

See Explanation

Step-by-step explanation:

We start by writing a real world problem

The cost of a pack of candle and a dozen of eggs is $12.5 and $11.3 respectively. If Ridwan intends to buy 2 dozen eggs and half pack of a candle, what should be Ridwan's budget.

Next; is to solve the above problem

We continue by listing out the given parameters

A pack of candle = $12.5

A dozen of egg = $11.3

Required

What is the cost of 2 dozen egg and half pack of candle?

We start by calculating the cost of 2 dozen egg

[tex]Cost = 2 * 1\ dozen\ egg[/tex]

[tex]Cost = 2 * \$11.3[/tex]

[tex]Cost = \$22.6[/tex]

Then, we calculate the cost of half pack of Candle

[tex]Cost = \frac{1}{2} * 1\ pack\ of\ candle[/tex]

[tex]Cost = \frac{1}{2} * \$12.5[/tex]

[tex]Cost = \$6.25[/tex]

Lastly, we add up the two costs;

[tex]Total = \$22.6 + \$6.25[/tex]

[tex]Total = \$28.85[/tex]

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