Question 6 of 10
What is the length of DE?
A
D
27
15
130"
10
B F 10 E
O A. 10
d
B. 22
O
C. 18
O D. 12

Answer:

A.) Right triangle

Step-by-step explanation:

In a right triangle, the altitude from each acute angle coincides with a leg and intersects the opposite side at (has its foot at) the right-angled vertex, which is the orthocenter.

Answer:

right triangle

step explanation:

In a right triangle, the altitude from each acute angle coincides with a leg and intersects the opposite side at (has its foot at) the right-angled vertex, which is the orthocenter. The altitudes from each of the acute angles of an obtuse triangle lie entirely outside the triangle, as does the orthocenter H.          

have a great day / night

also so may i have brainlst it will be my first one ever but if not thats fine as well

The correct representation of the law of cosines is A. c² = a² + b² - 2ab cos C.

Let there is triangle ABC such that |AB| = a unit, |AC| = b units, and |BC| = c units and the internal angle A is of θ degrees, then we have:

[tex]a^2 + b^2 -2ab\cos(\theta) = c^2[/tex]

(c is the opposite side to angle A)

We have been Given any triangle ABC with corresponding side lengths a, b, and c.

In the given triangle ABC, the sides are;

BC = a, AB = b and AC = c

Now we know as per the law of cosines for all three sides of the triangle;

c² = a² + b² - 2ab cosC

a² = b² + c² - 2bc cosA

b² = a² + c² - 2ac cosC

Therefore the correct representation of the law of cosines is A. c² = a² + b² - 2ab cos C.

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Answer:

y = -3/4x

Step-by-step explanation:

Answer: The longest possible length of the shelves =  18 inches

Step-by-step explanation:

Given: Lengths of two boards are  72-inches and 54 inches.

To make as many shelves as he can while using up all the wood we will find the longest possible length of the shelves = HCF ( 72, 54)

72 = 2 x 2 x 2 x 3 x 3

54 = 2 x 3 x 3 x 3

HCF(72,54) = 2 x 3 x 3 = 18

Hence, the longest possible length of the shelves =  18 inches

Answer: area= 16.8 yds^2

perimeter=18.8 yds

Step-by-step explanation:

Answer:

Perimeter = 20.2876 yds and Area = 16.8 yds^2

Step-by-step explanation:

Hope this helps :).

Answer:

C

Step-by-step explanation:

because to solve it you are seeing which number divises 52 to get you 13

so using the inverse you just need to use multiplication

Answer:

-39

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

x+52=13

Step 2: Subtract 52 from both sides.

x+52−52=13−52

x=−39

Answer:

x=−39

Answer:

146 didn't vote

Step-by-step explanation:

With this situation, start from the vote for all 4, then move onto the vote of 3 out of 4, then the vote of 2 of the 4 and lastly deal with with the vote of 1 out of the 4;

I've tabulated it in the attached excel document;

First, there are 50 votes for A, B, C and D;

Then there are 100 votes for B, C and D;

Now, the 50 who voted for all 4 are included in the 100 for B, C and D because someone who votes for A, B, C and D has voted for B, C and D;

This means we need to deduct 50 from 100 to get 50, which is the number of voters who voted for B, C and D, but not A;

This is done for all the options where students voted for 3 of the 4;

For those who voted C and D, there are 250, but this will include the 50 who voted A, C and D, the 50 who voted B, C and D and the 50 who voted A, B, C and D;

So, we have to subtract 3×50 (= 150) from 250 to get 100 as is shown in the table;

The table is quite helpful as it shows clearly who will be included in the numbers given in the question info;

We do the same for all those who vote for 2 of the 4;

For those who voted just D, we need to add the votes of all those who voted for D and anyone else, which is 500, and subtract this from the total number of votes for D, which is 1000;

And similarly, we do the same for A, B and C as well;

Now, we can sum all the votes, which gives 2850 and subtract this from the total number of voters, which is 2996 (remember we have to exclude the 4 band members as they can't vote);

This gives us:

2996 - 2850 = 146

The equation that represents the cost of a pair of boots will be; 2(b-15)+3b=150

An equation is an expression that shows the relationship between two or more numbers and variables. A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be one degree.

We are given that for less a pair of shouts is 15$ less than a pair of boots.

Since Cho purchased two pairs of shoes and three pairs of boots for 150$, then;

Let the two pairs of shoes be 2(b-15)

And  three pairs of boots for 150$ = 3b

Therefore, the equation will be;

.2(b-15)+3b=150

Hence, the equation that represents the cost of a pair of boots will be; 2(b-15)+3b=150

Learn more about equations here;

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Answer:

Step-by-step explanation:

Answer:

f(- 3) = - 12

Step-by-step explanation:

To find f(- 3) substitute x = - 3 into f(x) , that is

f(- 3) = -2(- 3)² + 6 = -2(9) + 6 = - 18 + 6 = - 12

Answer:

1. SAS

2. SSS

Step-by-step explanation:

and you can look for others answers.

Answer:

[tex]-\frac{1}{12}[/tex]

Step-by-step explanation:

Reduce the expression, if possible, by canceling the common factors.

Answer:

-

Step-by-step explanation:

-5/6÷-10

-5/6*1/-10

-5/-60

1/12

Answer:

here

Step-by-step explanation:

it is basically a sector , use the area formula i.e.  

[(theta)/360]*πr^2

Answer:

9 cm

Step-by-step explanation:

V = 1/3 pi r^2 h

V = 1/3 * 3.14 * 5^2 * h

236 = 1/3 * 3.14 * 25 * h

236 = 26.1667 h

236 / 26.1667  = h

9.019 = h

Rounded to the nearest whole number the h is about 9 cm.

Answer:

90 + 3 - 180 = 87

Step-by-step explanation:

I remembered doing a problem like this in Algebra, but i think this is right

Answer:

Step-by-step explanation:

#keep learning!!

Now,

10 millions = 1 crore

20 millions = 1/10*20

= 2 crore

I hope it's help you...

Mark me as brainliest...

Answer:

An arithmetic sequence is defined by:

[tex]a_n = a_{n-1} + d[/tex]

Here, we know that:

[tex]a_3 = 14\\a_{10} = 98[/tex]

Using the recursive relation, we can write:

[tex]a_{10} = 98 = a_9 + d[/tex]

And can keep applying the recursive relation, so we will have:

[tex]98 = a_9 + d = (a_8 + d) + d = a_8 + 2*d[/tex]

And so on, until we get to a known term:

[tex]98 = a_8 + 2*d = a_7 + 3*d = a_6 + 4*d = a_5 + 5*d = a_4 + 6*d = a_3 + 7*d[/tex]

[tex]98 = a_3 + 7*d = 14 + 7*d[/tex]

Then we can solve:

98 = 14 + 7*d

for d:

98 - 14 = 7*d

84 = 7*d

84/7 = d = 12

Now we know the value of d, we can keep using the recursive relation to find the first 3 terms:

Here, we can rewrite the recursive relation as:

[tex]a_{n-1} = a_n - d[/tex]

Then:

[tex]a_2 = a_3 - d = 14 - 12 = 2\\a_2 = 2[/tex]

[tex]a_1 = a_2 - d = 2 - 12 = -10\\a_1 = -10[/tex]

[tex]a_0 = a_1 - d = -10 - 12 = -22\\a_0 = -22[/tex]

Then the first 3 terms are:

-22, -10, 2

Answer:

D

Step-by-step explanation:

In a function with x as the independent variable and y as the dependent variable, the f(x) notation replaces y in the equation.

Answer:

x = 20

<f =  80

<g =100

Step-by-step explanation:

<f and <g are supplementary so they add to 180

5x-20 + 3x+40 = 180

Combine like terms

8x+20 = 180

Subtract 20 from each side

8x+20-20 = 180-20

8x = 160

Divide by 8

8x/8 = 160/8

x = 20

<f = 5x-20 = 5*20 -20 = 100-20 = 80

<g = 3x+40 = 3*20 +40 = 60+40 = 100

Answer:

6^8

Step-by-step explanation:

(6^2)^3*6^2

= 6^(2*3)*6^2

= 6^6*6^2

= 6^(6+2)

= 6^8

Answer:

A=90, B=86.896551724,C=90/29

Step-by-step explanation:

B+C=90

(x28)+x=90

x=90/ 29

((90/29)28)=B

A=90° because there is the symbol indicating a right angle

Answer:

y=-7x-3

Step-by-step explanation:

y=-7x+b

32=-7(-5)+b

32=35+b

-3=b

y=-7x-3

Answer:

Step-by-step explanation:

Finding the 8th term of this sequence will be much easier with an explicit formula, so we will find that, find the 8th term, then write the equation for the recursive. The recursive formula is only good if you know all the terms before the one you're looking for. That means if we want the 8th term, we first have to find the 7th term, but before that we have to find the 6th term, etc...

We can find the explicit formula for this using the info we have about the 5th term and the 3rd term. The explicit formula looks like this, in general terms:

[tex]a_n=a_1*r^{n-1[/tex] where a1 is the first term and r is the common ratio. We can solve for both, one at a time. First, using the fact that the 5th term is 3888:

[tex]a_5=a_1*r^{5-1[/tex] and subbing in and simplifying:

[tex]3888=a_1*r^4[/tex] and we will solve that for a1:

[tex]a_1=\frac{3888}{r^4}[/tex]

Now the other equation we need for this system, using the fact that the third term is 108:

[tex]108=a_1*r^2[/tex] and we sub in our expression for a1:

[tex]108=(\frac{3888}{r^4})*r^2[/tex] which simplifies to

[tex]108=\frac{3888}{r^2}[/tex] and

[tex]r^2=\frac{3888}{108}[/tex] so

r = 6. Now we'll plug 6 in for r to find a1:

[tex]a_1=\frac{3888}{6^4}[/tex] so

a1 = 3. Now we have the a and r for the explicit formula:

[tex]a_n=3*6^{n-1[/tex] and we simply put in an  for n:

[tex]a_8=3*6^{8-1[/tex] and

[tex]a_8=3*6^7[/tex] which gives us the 8th term as

a8 = 839808

The recursive formula is

[tex]a_n=a_{n-1}*r[/tex] and it works, also, but again, you have to have all the terms that come before the one you want or this formula is useless. Explicit is always better, in my opinion.

Answer:

3540

2

Step-by-step explanation:

Total number of members = 60

Number of members to be elected = 2

Since the order of selection matters as the first is president and second is vice president ;

Using the permutation formula :

nPr = n! ÷ (n-r)!

60P2 = 60! ÷ (60 - 2)!

60P2 = 60! ÷ 58!

60P2 = 3540

B.) 2 members A and B will accept to serve only if they are selected to serve together ;

Since only 2 members (president and vice president) are to be chosen ; Hence, only the tow of them (A and B) will be chosen, to do this ;

2P2 = 2! /(2 - 2)! = 2! / 0! = (2*1)/1 = 2

The solution to the multiplication of surds (2√3) × (3√2) is; 6√6

Let us break each of them into the factors to get;

√12 × √18 = √(4 × 3) × √(9 × 2)

(√4 × √3) × (√9 × √2)

Simplifying this further gives;

(2√3) × (3√2)

a√b × p√q = ap√bq

(2√3) × (3√2) = 6√6

Read more about multiplication of surds at; https://brainly.com/question/24700530

Answer:

I the answer would be 150 millimeters.

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

Work Shown:

1 cm = 10 mm

15*(1 cm) = 15*(10 mm) ...... multiplying both sides by 15

15 cm = 150 mm

Answer:

a is the right answer

Step-by-step explanation:

becuse i took the text