Mathematics High School

Given right triangle ABCABC with altitude \overline{BD} BD drawn to hypotenuse ACAC. If AC=16AC=16 and DC=3,DC=3, what is the length of \overline{BC} BC in simplest radical form?

Answers

Answer 1

Answer:

4√3

Step-by-step explanation:

Find the diagram attached

Using the similarity theorem of a triangle based on the legs (sides)

AC/BC = BC/DC

Given

AC = 16

DC = 3

Required

BC

Substitute the given values

16/BC = BC/3

Cross multiply

BC² = 16×3

BC² = 48

BC = √48

BC = √16×3

BC = 4√3

Hence the measure of BC is 4√3

Given Right Triangle ABCABC With Altitude \overline{BD} BD Drawn To Hypotenuse ACAC. If AC=16AC=16 And

Related Questions

Pls will mark brainliest if right!
Determine if the conditions stated would result in a unique quadrilateral?
A. a trapezoid with three 12-yd sides (yes or no)
B. a rhombus with a perimeter of 36 ft. and one right angle (yes or no)
C. a quadrilateral with four 9-ft. sides and two acute angles (yes or no)
D. a rectangle with a length that is 5-inch. less than width
C. a parallelogram with a right angle, two 7-mm and two 8-mm sides

Answers

Answer:

A) no

B) yes

C) no

D) yes

E) yes

Step-by-step explanation:

List the sides of the triangle in order from shortest to longest.

Answers

Answer:

FH, GF, GH

hmmmmmmmmmmm

HELP ME PLSSS :((PLSSSS

Answers

Answer:

40 degrees

Step-by-step explanation:

all angles add to 180* in a triangle

65+75=140

subtract from 180, you get 40 which is your answer

Does anyone know??????

Answers

Answer:

67 degrees

Step-by-step explanation:

Angle 2 and angle 7 are vertical angles since l is the transversal.

so that means <2=<7

4x+39=12x-17

Simplify: isolate the variable:

56=8x

divide by 8:

7=x

now plug it in to m<2

4(7)+39=m<2

28+39

67=m<2

i hope this helps!

The soccer club has planned a trip to a tournament. The cost of the van is
$231. When 3 students who are not members of the club join the trip, the
transportation cost per person drops by $4.50. How many soccer club
members are going to the tournament?
O A. -14, 11
B. 11
C. -14
D. 14

Answers

Answer:

d

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

7 The speed s can be found by dividing the distance d by time t. It took Kevin 3
h traveling at an average speed of 45 mi/h from his house to Cooperstown.
What is the distance between Kevin's house and Cooperstown?

Answers

Answer:

Step-by-step explanation:

3 hours at 45 mph means he traveled 135 miles. The distance between Kevin's house and Cooperstown is 135 miles.

At a baseball game, a vender sold a combined total of 208 sodas and hot dogs. The number of sodas sold was three times the number of hot dogs sold. Find the number of sodas and the number of hot dogs sold.

Answers

Answer:

sodas = 135 hot dogs = 45

Step-by-step explanation:

(S stands for sodas and H stands for hot dogs)

S + H = 180

3H+H = 180

4H = 180

H = 45

S = 45*3

S = 135

two times p plus five is greater than or equal to three times p minus ten

Answers

Answer:

2p + 5  ≥ 3p - 10

Step-by-step explanation:

Answer: 2p+5 ≥ 3p-10

2x + 3x = _____??

help me pls

Answers

Answer:

5x

Step-by-step explanation:

(solve by substitution or elimination)Maci’s closet is a rectangle with a perimeter of 18 ft. Its length is 5 ft greater than its width.
Find the dimensions of her closet.

Answers

Answer:2x7

Step-by-step explanation:2(x+5)+2x=18. 4x+10=18. x=2. 2x7.

Dan invests £2700 into his bank account.
He receives 2% per year compound interest.
How much will Dan have after 4 years?

Answers

2700*1.02^4
=2922.566832
U can round it to 2dp

A bag contains blue,green,yellow,and red marbles. The probability of drawing a yellow marble is 3/10. What is the probability of NOT drawing a yellow marble?

Answers

The probability of NOT drawing a yellow marble would be 7/10

Answer:

Step-by-step explanation:

Which point is labeled at (-2, 3)?

Answers

Answer:

G

Step-by-step explanation:

if you glance at -2 and go up positive three

3g(x) - 2f(x) hi
[tex]3g(x) - 2f(x)[/tex]
​

Answers

hopefully that helps 3gx-2fx (if ur simplifying)
s_shake s_dissolveshake s_childpredator

Write a small statement to convince others of the importance of food safety

Answers

Answer:

Food is what fuels our bodies. Food is what keeps us alive, but when food is not kept fresh and safe, it can cause us to get sick or even die from food poisoning.

please help me on this will give you brainliest!!

Answers

Answer:

Mesure 6 is 116 mesure 8 is 116

Step-by-step explanation:

6s + 3 = - 27 s=___ help

Answers

3=-27s-6s
3=-33s divide both sides by 3
s=-11

Answer:

[tex]6s + 3 = - 27 \\ 6s = - 27 - 3 \\ = - 30 \\ s = \frac{ - 30}{6} \\ s = - 5[/tex]

Sam solved the equation 6x - 8 = 16 below. Find her error and solve it correctly.

Answers

If (6*1.33) - 8 equals anything, it's -0.02

If you want your answer to be 16, X must equal 4

Please help !!!!!! thanks

Answers

Answer:

an american football field measures 100 yards long between the endzones,and is 53 1/3 yards wide.is the length of the diagonal across this field more or less than 120 yards . what is the value rounded to the nearest tenth of a yard

Step-by-step explanation:

To solve, you need to use Pythagorean Theorum

a^2+b^2=c^2

100^2+53.33^2 = c^2

10,000+2844.0889=c^2

12844.1=c^2

square root

= 113 1/3 yards

So it is less than 120 yards

Jan walks 2 miles at a constant rate of 3 miles per hour and then runs 1 mile at a constant rate of 8 miles per hour.

(a) What is Jan’s average speed for the entire trip?
(b) Is the average speed in part (a) equal to the average of Jan’s two speeds?

Answers

Answer:

(a).4.36 mph

(b) No

Step-by-step explanation:

We are given that

Jan covered distance,s1 =2 miles

Speed of Jan, a=3 mph

s2=1 mile

b=8mph

a.

We have to find the Jan' s average speed for the entire trip.

Average speed =[tex]\frac{2ab}{a+b}[/tex]

Using the formula

Average speed=[tex]\frac{2(3)(8)}{3+8}=4.36mph[/tex]

b.

Average speed with two speed

Average of Jan’s two speeds

[tex]=\frac{a+b}{2}[/tex]

=[tex]\frac{3+8}{2}=5.5 mph[/tex]

[tex]4.36\neq 5.5[/tex]

Hence, the average speed in part (a) is not equal to the average of Jan’s two speeds.

Find the slope of (0,4), (-5,2)

Answers

Answer:

-4/5

Step-by-step explanation:

pls i need help with this equation good points, will mark. brainliest​

Answers

Answer:

120 tiles 50 + 30 + 40 = 120 tiles

Step-by-step explanation:

Count the tiles

Hope this helped

express the given number 5,120,000 in scientific notation

Answers

Answer:

5.12 * 10^6

Step-by-step explanation:

What is an equation of the line that passes through the point (7,6) and (-2,-3)

Answers

Answer:

y=x-1

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-3-6)/(-2-7)

m=-9/-9

m=1

y-y1=m(x-x1)

y-6=1(x-7)

y-6=x-7

y=x-7+6

y=x-1

How to solve.
(6.7 x 10^-16) - (8.2 x 10^-17

Answers

Answer:

5.9 × 10⁻¹⁶

Step-by-step explanation:

To solve this, you need to  convert one of the two numbers to the same power of ten as the other.  We can do that by multiplying the first number by 10:

6.7 × 10⁻¹⁶ - 8.2 × 10⁻¹⁷

= 67× 10⁻¹⁷ - 8.2 × 10⁻¹⁷

= (67 - 8.2) × 10⁻¹⁷

= 58.8 × 10⁻¹⁷

= 5.9 × 10⁻¹⁶

Note that we're rounding to the nearest tenth, as the original numbers given were as well.

Hayhay#5682
add me plz


4 x 6 = 24

Answers

I will later

Your answer is 24

May nilbin be with you

mm yes 24 correct answer soo

Subject: Add Maths

Please answerr.

x-2 is a factor of x^3+ax^2+bx-4. Express b in terms of a.

The answer is b=-2-2a but can someone please show the working?

Answers

Answer:

ax2+x3+bx−4

Step-by-step explanation:

The average ant is about 7.5x10^-2 inches in length. The average adult human is about 6.72x10^1 inches tall. About how many times bigger is the human than an ant?

Answers

Answer:

Step-by-step explanation:

The average ant is about 7.5x10^-2 inches in length. The average adult human is about 6.72x10^1 inches tall. About how many times bigger is the human than an ant?

50 time 40 please awnser correctly

Answers

Answer:

2000

Step-by-step explanation:

50 * 40 = 2000

Answer:

the awnser is 2000 have a nice day

Plea look at the photo of Parallelogram properties.
Question: Find the measurement indicated in each parallelogram.
Please explain it you can:)

Answers

Answer:

1. 45

2. 105

3. 95

4. 85

Step-by-step explanation:

For problems 1 and 4:

Consecutive angles are supplementary in a parallelogram, which means they equal 180.

180 - 135 = 45

180 - 95 = 85

For problems 2 and 3:

Opposite angles are congruent or equal each other in a parallelogram,

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