ABC is an eqilateral triangle with sides 10cm find the length of the prependicular from A to BC

Answers

Answer 1

All sides are equal in an equilateral triangle and the perpendicular bisects the side too.

so BC will be bisected and the segments be 5 each.

you can use Pythagoras theorem to find the altitude length, hypotenuse will be one side of the triangle.

[tex] 5^2+h^2=10^2[/tex]

$h^2=100-25=75$

$h=\sqrt{75}=5\sqrt3$


Related Questions

At the beginning of a snowstorm, Camden had 10 inches of snow on his lawn. The
snow then began to fall at a constant rate of 2.5 inches per hour. Assuming no snow
was melting, how much snow would Camden have on his lawn 4 hours after the snow
began to fall? How much snow would Camden have on his lawn after t hours of snow
falling?
Snow on lawn after 4 hours:
Show on lawn after t hours:

Answers

Answer:

ans - all the snow would been removed ....bcause 4 *2.5 is 10

Answer: 20

2.5 + 10

Step-by-step explanation:

Amelia drives 10 miles in 20 minutes. If she drove three hours in total at the same rate, how far did she go?

Answers

Answer:

she went 90 miles in 3 hours

Step-by-step explanation:

in 20 minutes, she went 10 miles.

so in 1 hour, we multiply both 10 and 20 by 3

in 1 hour, Amelia drives 30 miles

we multiply this by 3,

and we get 90 miles in 3 hours :)

Find the length of the arc. A. 187π/12 ft B. 16π/3 ft C. 49π/6 ft D. 343π/12 ft

Answers

Answer:

[tex]\huge \boxed{\mathrm{Option \ C}}[/tex]

Step-by-step explanation:

Length of arc formula = θ/360 × 2[tex]\pi[/tex]r

The angle is 210 degrees.

The radius is 7 ft.

210/360 × 2[tex]\pi[/tex](7)

Simplify the expression.

210/360 × 14[tex]\pi[/tex]

2940/360[tex]\pi[/tex]

49/6[tex]\pi[/tex]

The length of the arc of circle having radius 7 feet is 49π/6 which is option C.

What is arc?

An arc is a part of circumference of a circle which is formed from two radius of the circle. The length of arc is equal to Θr in which r is radius and Θ is angle in radian form.

How to find length of arc?

We have been given the radius of the circle be 7 feet and angle be 210°.

The length of arc will be Θr in which r is the radius and Θ is the angle in radian form.

First we have to convert angle in radian form=210*π/180=7π/6.

Length of arc=7π/6*7

=49π/6

Hence the length of the arc of circle having radius 7 feet is 49π/6 which is option C.

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Find slopes of the given points .


[tex]\Large\star\tt {(5,6)\atop (3,-2)}[/tex]
[tex]\Large\star\tt {(-3,4)\atop (4,-7)}[/tex]


Spam free answers required .

Well explained answer will be marked as brainliest .​

Answers

Answer:

Use the slope formula:

m = (y₂ - y₁)/(x₂ - x₁)

The first one:

m = (-2 - 6)/(3 - 5) = -8/-2 = 4

The second one:

m = (-7 - 4)/(4 - (-3)) = -11/7

Answer:

Step-by-step explanation:

1)  (x₁,y₁) = (5 , 6)   &  (x₂,y₂) = (3 , -2)

[tex]Slope = \dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\dfrac{-2-6}{3-5}\\\\=\dfrac{-8}{-2}\\\\=4[/tex]

2) (x₁,y₁) = (-3, 4)   &  (x₂,y₂) = (4 , -7)

[tex]Slope= \dfrac{-7-4}{4-[-3]}\\[/tex]

           [tex]= \dfrac{-11}{4+3}\\\\=\dfrac{-11}{7}[/tex]

In the function above, the slope will be multiplied by -4, and the y-value of the y-intercept will be decreased by 1 unit. Which of the following graphs best represents the new function?

Answers

Answer: Answer Z :)

Step-by-step explanation:

Evaluate the expression 52 + 2x when x = 5. Choose the phrase below that describes the resulting number.

Answers

Answer:

62

Step-by-step explanation:

hope that helps! if it is an answer

The Phrase is: "The resulting number is 62."

                                                                                                         

We have the expression as

52 + 2x

                                                                                                         

Now, To evaluate the expression 52 + 2x when x = 5,

we substitute the value of x into the expression and simplify:

                                                                                                         

=52 + 2(5)

= 52 + 10

= 62.

                                                                                                         

Thus, The resulting number is 62.

                                                                                                         

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The following frequency table shows the number of fish caught by each of Igor's family members. What was the maximum number of fish that a family member caught? _____ fish

Answers

Answer:

4

Step-by-step explanation:

The values on the left of the table represent the number of fish caught, and the number of the right of the table represents how many family members caught that amount of fish.

Therefore, the first row means that 0 family members caught 0 fish.

The second row means that 3 family members caught 1 fish.

The third row would mean 1 family member caught 2 fish.

The next row would mean 0 family members caught 3 fish.

And the final row would mean 4 family members caught 4 fish.

The question does not ask for the total amount of fish caught; rather is ask for the maximum number of fish that a single family member caught.

Therefore, the maximum amount of fish that a single family member catches is 4. (And 4 family members did so. But individually, the maximum amount of fish one person caught is 4).

Answer:

it's 1 fish

Step-by-step explanation:

i took the test

please help me is for my homework​

Answers

the answer is 2/5!!

Answer:

0.4

Step-by-step explanation:

Fraction =2/5

In decimal =0.4

What would be the 1st step in solving this problem:
(4-2+6) +9x7

Answers

Answer:

doing whatever is in the brackets or paranthesis

Sofia tem 52 triângulos retângulos isósceles iguais. Ela quer fazer quadrados usando alguns desses triângulos. Ela pode fazer quadrados de quantos tamanhos diferentes?

Answers

Answer:

Portanto, o Sofia pode fazer 6 tamanhos diferentes

Step-by-step explanation:

A fim de sermos capazes de determinar efetivamente quantos quadrados de diferentes tamanhos podem ser formados a partir do triângulo isósceles 52, resolvemos isso usando a fórmula

2 (n + 1) Onde n = 0 e todos os inteiros positivos

em outro para obter um tamanho diferente para os quadrados, temos que adicionar mais triângulos para aumentar o tamanho

a) quando n = 0

2 (0 + 1) = 2 × 1 = 2 triângulos isósceles iguais

A união de 2 triângulos isósceles forma um quadrado. Este é o primeiro quadrado

= 1 quadrado

b) quando n = 1

2 (1 + 1) = 2 × 2 = 4 triângulos isósceles iguais = 1 quadrado

c) quando n = 2

2 (2 + 1) = 2 × 3 = 6 triângulos isósceles iguais = 1 quadrado

d) quando n = 3

2 (3 + 1) = 2 × 4 = 8 triângulos isósceles iguais = 1 quadrado

e) quando n = 4

2 (4 + 1) = 2 × 5 = 10 triângulos isósceles iguais = 1 quadrado

f) quando n = 5

2 (5 + 1) = 2 × 6 = 12 triângulos isósceles iguais = 1 quadrado

Adicionamos o número total de triângulos usados

2 + 4 + 6 + 8 + 10 + 12 = 42 triângulos

42 triângulos de 52 triângulos formariam 6 quadrados com tamanhos diferentes

Vamos fazer mais um, onde n = 6

g) quando n = 6

2 (6 + 1) = 2 × 7 = 14 triângulos isósceles iguais = 1 quadrado

2 + 4 + 6 + 8 + 10 + 12 + 14 = 56 triângulos

Isso já excedeu o número dado de triângulos em questão.

Portanto, o Sofia pode fazer 6 tamanhos diferentes de quadrados usando 42 triângulos isósceles iguais

Adding
ing and Multiplying Rati
What type of answer would you expect from the problem below? Expla
answer
DONES

Answers

there’s no problem to solve here
Adding
ing and Multiplying Rati
What type of answer would you expect from the problem below? Expla
answer
DONES

Find the slope of the line containing the points (-3, -6) and (4, 7).

Answers

Answer:

[tex]\frac{13}{7}[/tex]

Step-by-step explanation:

→ State the slope formula

( y₂ - y₁ ) ÷ ( x₂ - x₁ )

→ Substitute in the values

( 7 - -6 ) ÷ ( 4 - -3 )

→ Simplify

[tex]\frac{13}{7}[/tex]

Answer:

slope = [tex]\frac{13}{7}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 3, - 6) and (x₂, y₂ ) = (4, 7)

m = [tex]\frac{7-(-6)}{4-(-3)}[/tex] = [tex]\frac{7+6}{4+3}[/tex] = [tex]\frac{13}{7}[/tex]

Expansion of (x + 3y)(x - y) gives

Answers

Answer:

x^2 +2xy +3y^2

Step-by-step explanation:

(x + 3y)(x - y)

Foil

first x*x = x^2

outer x*-y = -xy

inner 3y^x = 3xy

last 3y*y = 3y^2

Add them together

x^2 -xy +3xy +3y^2

Combine like terms

x^2 +2xy +3y^2

(x + 3y)(x-y)
= x (x-y) + 3y (x-y)
= x^2 -xy + 3xy -3y^2
Hope you’ll understand

Use the measure of the sides of triangle ABC to classify the triangle by its sides A(-1,3) B(-3,5) C(3,2)

Answers

Answer:

The triangle is a scalene triangle that has all three sides having different lengths

Step-by-step explanation:

The given vertices (and their coordinates) of the triangle are;

A(-1, 3)

B(-3, 5)

C(3, 2)

The equation for finding the lengths of a segment, l, given the coordinates, x, y is presented as follows;

[tex]l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]

For segment AB, when, (x₁, y₁) = A(-1, 3) and (x₂, y₂) = B(-3, 5),  we have;

[tex]l = \sqrt{\left (5-3 \right )^{2}+\left (-3-(-1) \right )^{2}} = 2\cdot\sqrt{2}[/tex]

Length of segment AB = 2·√2

For segment AC, when, (x₁, y₁) = A(-1, 3) and (x₂, y₂) = C(3, 2),  we have;

[tex]l = \sqrt{\left (2-3 \right )^{2}+\left (3-(-1) \right )^{2}} = \sqrt{17}[/tex]

Length of segment AC = √17

For segment BC, when, (x₁, y₁) = B(-3, 5) and (x₂, y₂) = C(3, 2),  we have;

[tex]l = \sqrt{\left (2-5 \right )^{2}+\left (3-(-3) \right )^{2}} = 3 \cdot \sqrt{5}[/tex]

Length of segment AC = 3·√5

The triangle is a scalene triangle that has all three sides having different lengths.

Please answer this question now

Answers

Answer:

396 yd^2

Step-by-step explanation:

8X12=96

(96/2)*2=9

10*10=100

100*3=300

300+96=396

Answer:

416 yd^2

Step-by-step explanation:

The formula for the surface area of a triangular prism is

[tex]A=2\sqrt{\frac{a+b+c}{2}(\frac{a+b+c}{2}-a)(\frac{a+b+c}{2}-b)(\frac{a+b+c}{2}-c)}+(a+b+c)h[/tex]

where h is the height (10), and a, b and c are the base sides (10, 10, 12).

Find the common ratio of the geometric sequence: 12.5,−62.5,312.5,−1562.5,… A. 5 B. -5 C. −15 D. 15

Answers

Answer:

B

Step-by-step explanation:

The common ratio r exists between consecutive terms in the sequence, that is

r = - 62.5 ÷ 12.5 = 312.5 ÷ - 62.5 = - 1562.5 ÷ 312.5 = - 5

Sz – [32 – (10z + 2)]​

Answers

Sz-[32-(10z+2)]
=Sz-(32-10z-2)
=Sz-(30-10z)
=Sz-30+10z

Hope my answer helped u :)

The expression (x-6)^2 is equivalent to

Answers

Answer:

2−12x+36

Step-by-step explanation:

Answer:

(x-6)² = (x-6)(x-6) = x² - 12x + 36

Step-by-step explanation:


What is the surface area of a sphere with a diameter of 14 cm?
1961 cm2
287 cm2
7841 cm2
981 cm2

Answers

Answer:

??

Step-by-step explanation:

how

did you get 616? are you even looking at the 4 answers?????

Erica saw a skateboard on sale for $59.95 the original price of the skateboard was $79.95 what is the approximate percent discount on the skateboard ?

Answers

Answer: 25%

Step-by-step explanation:

HELP PLEASE !!


find the surface area of the cylinder and round it to the nearest tenth.​

Answers

Answer:

18.8

Step-by-step explanation:

Surface area=2*pi*r*(r+h)=2*pi*1*(3)=18.8

A
75°
B.
Reflex Angle B =
degrees.

Answers

Answer:

285

Step-by-step explanation:

B+A=360, B=360-75=285

An angle whose measure is greater than 180° but less than 360° is termed a reflex angle.

[tex]\large{\textrm{{{\color{navy}{∠A \: + \: ∠B \: = \: 360°}}}}}[/tex]

[tex] \bf \large \longrightarrow \: \:75 \degree \: + \: ∠ B \: = \: 360°[/tex]

[tex] \bf \large \longrightarrow \: \: \angle B \: = \: 360° \: - \: 75 \degree[/tex]

[tex] \bf \large \longrightarrow \: \: \angle B \: = \:285 \degree[/tex]

f(x)=x^2 what is g(x)?
pls help me

Answers

Answer:

C.

Step-by-step explanation:

The transformation f(x) ---> a f(x) stretches the graph  of f(x) vertically by a factor a.

The point (1, 1) on f(x) transforms to  (1,9) on g(x).

This is a vertical transformation  of factor 9, so g(x)  = 9f(x)

= 9x^2  or (3x)^2.

Honestly, I'm trying my best to solve this but my Math XL is being so rude. ​

Answers

Answer:  19

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

Explanation:

T is the midpoint of PQ, which means T splits PQ into two equal parts. Those parts being PT and TQ.

Set them equal to each other and solve for x.

PT = TQ

3x+7 = 7x-9

3x-7x = -9-7

-4x = -16

x = -16/(-4)

x = 4

So,

PT = 3x+7 = 3*4+7 = 19

TQ = 7x-9 = 7*4-9 = 19

Both PT and TQ are 19 units long to help confirm the answer.

19 is the correct answer

Please help me!!! I need this ASAP!!!

Answers

Answer:

number ten: x=5

number two: x=5³/5

Step-by-step explanation:

number ten:

4x + 3x - 9 = 26

4x + 3x = 26+9

7x = 35

x = 5

number two:

3x + 2x - 8 = 20

3x + 2x = 20+8

5x = 28

x = 5³/5

What is the value of this expression? (the best answer receives a brainiest)

Answers

Answer:

answer is D

Step-by-step explanation:

2^4=16

16+(16-12)=20

over

(6+9)/(7-4)

15/3=5

so the new equation is 20/5=4

Answer:

D. 4

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Exponents

[tex]\frac{16 + (16 -3(4))}{(6+9)/(7-4)}[/tex]

Step 2: Parenthesis

[tex]\frac{16 + (16 -12)}{15/3}[/tex]

Step 3: Parenthesis

[tex]\frac{16 + 4}{15/3}[/tex]

Step 4: Divide

[tex]\frac{16 + 4}{5}[/tex]

Step 5: Add

[tex]\frac{20}{5}[/tex]

Step 6: Divide

4

Complete the statement to describe the expression abc + defabc+defa, b, c, plus, d, e, f. The expression consists of terms, and each term contains factors.

Answers

Answer:

The expression consists of 2 terms and each terms contains 3 factors.

Step-by-step explanation:

Given the expression (abc)+(def), the description of the expression is as shown:

The expression consists of 2 terms and each terms contains 2 factors.

Terms are expressions connected by mathematical signs such as addition and subtraction sign. As we can see from (abc)+(def), 'abc' and 'def' are separated by addition signs therefore both abc and def are the "terms" of the expression.

Factors are variables connected using the multiplication or bracket signs. As we can see, each term contains 3 factors. Looking at the first term 'abc', we can see that there are 3 variables/factors (a, b and c) multiplied together. This shows that they are connected by multiplication signs and same goes with 'def'.

Hence, the expression consists of 2 terms and each terms contains 3 factors.

The statements of expression.

As per the question, the statement which tells us about expression consists of 2 terms, and each term is 3 factors. As per the expression of the ABC  and DEF describes expression of 2 terms and each term contains 2 factors.

Hence the answer is 2 terms and 3 factors.

The terms of the expressions are linked by mathematical signs such as addition and the subtraction signs. The factor is variables joined using the multiplication signs. In each term contains the 3 factors are found. Looking at the first term ABC, we can see that there are 3 variables like a, b, and c that are multiplied together.

Learn more about the statement to describe.

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the two triangles below are similar use what you know about similar triangles to find the missing side. show your work​

Answers

If both triangles are similar the ratio of sides will be same

[tex]\\ \sf\longmapsto \frac{x}{24} = \frac{6}{12} \\ \\ \sf\longmapsto 12x = 6 \times 24 \\ \\ \sf\longmapsto 12x = 144 \\ \\ \sf\longmapsto x = \frac{144}{12} \\ \\ \sf\longmapsto x = 12[/tex]

answer for brainlist + extra points
Which operation will not change the value of any nonzero number?
A. Multiplying by One
B. Dividing by Zero
C. Multiplying by Zero
D. Adding One

Answers

Answer:

A. Multiplying by One

Step-by-step explanation:

semoga membantu

A. Multiplying by One

A batch of hot chocolate is made with 24 teasoons of cocoa and 12 cups of milk. How many teaspoons of cocoa are needed for every cup of milk?

Answers

Answer:

2 teaspoons

Step-by-step explanation:

24 tsp/12 cups = x tsp /1 cup

Cross multiplying, we have:

12x = 24

x = 2

The solution is 2 teaspoons of cocoa

Number of teaspoons of cocoa is given by the equation A = 2 teaspoons

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number of teaspoons of cocoa be represented as A

Now , the equation will be

A batch of hot chocolate is made with 24 teaspoons of cocoa and 12 cups of milk

So , for 12 cups of milk = 24 teaspoons of cocoa is required

And , for 1 cup of milk A = 24 teaspoons of cocoa is required / 12

Substituting the values in the equation , we get

Number of teaspoons of cocoa A = 24 teaspoons / 12

Number of teaspoons of cocoa A = 2 teaspoons

Therefore , the value of A is 2 teaspoons

Hence , the number of teaspoons is 2

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