What will be the height of the triangle, if its area is 105 m 2 and the base is 15 m?​

Answers

Answer 1

Answer:

14 m

Step-by-step explanation:

Given,

Area of the triangle

[tex] = {105m}^{2} [/tex]

Base of the triangle

= 15m

Let,

Height of the the triangle be h

Therefore,

By the problem,

[tex] = > \frac{1}{2} \times base \times height = 105[/tex]

(On putting values)

[tex] = > \frac{1}{2} \times 15 \times h = 105[/tex]

(On putting the known values on one side)

[tex] = > h = \frac{105 \times 2}{15} [/tex]

(On Simplification)

=> h = 7 × 2

(On multiplying)

=> h = 14m

Hence,

The req. height of the triangle is 14 m (Ans)

Answer 2

Answer:

The answer is 14 m.

Step-by-step explanation:

Area = [tex]105^{2}[/tex]

Base = 15 m.

Height = ?

The formula for finding the area of triangle is

[tex]A = \frac{h_{b}b}{2}[/tex]

Put the values in the formula

[tex]105 = \frac{h_{b}15 }{2}[/tex]

Use MPE or Multiplication Property of Equality

210 = 15[tex]h_{b}[/tex]

Now use DPE or Division Property of Equality

[tex]\frac{210}{15} = \frac{15_{hb} }{15}[/tex]

14 = [tex]h_{b}[/tex]

The height of the triangle is 14 m.

To check, multiply the height and base to get the area.

14 * 15 = 105 [tex]m^{2}[/tex]


Related Questions

Hello I need plzzzz help

Answers

Answer:

The number of hours Jenny babysits

Step-by-step explanation:

Since we know that the 10 is the fixed fee for the babysitting services and 5 represents the amount charged per hour, it is safe to say x represents the number of hours Jenny babysits.

Ex.: Let us say she baby sits for 3 hours. 3 would take the place of the x

   5(3)+10. This means Jenny will charge the person she babysat for a total of  

   $15 just for the hours alone.

Hope this helps! :)

Answer:

x represent the number of hours Jenny Babysits

Step-by-step explanation:

since she charges $5 per hour, then X is always how many hours

HIGH POINTS/WILL MARK BRAINLIEST

Consider the leading term of the polynomial function. What is the end behavior of the graph?

2x^7– 8x^6– 3x^5– 3

Answers

Answer:

The leading term is 2x^7. Since n is odd and a is positive, the end behavior is down and up.

(sinx + cosx)(1 − sinx cosx) ≡ sin3x + cos3x

Answers

Step-by-step explanation:

We will use the LHS to find the RHS.

Step 1: Expand the LHS by multiplying through the brackets and simplify

(sinx + cosx)(1 − sinx cosx) ≡  sinx + cosx - (sinx + cosx (sinx cosx))

                                             ≡  sinx + cosx - sin²x cosx - sinx cos²x

Step 2: Use the identity sin²x + cos²x = 1, to rewrite the equation

                                           ≡ sinx + cosx - cosx (1 - cos²x) - sinx (1 - sin²x)

Step 3: Simplify the equation by adding like terms

                                           ≡ sinx + cosx - cosx + cos³x - sinx + sin³x

                                           ≡ sin³x + cos³x                 [QED]

Reminder:

1 - cos²x = sin²x  1 - sin²x = cos²x (cosx)(cosx) = cos²x

Use the model why 522 is divisible by 9

Answers

Answer:

The rule for divisibility by 9 works because numbers are written in base 10.

Step-by-step explanation:

The sum of the digits is calculated as follows:

5 + 2 + 2 = 9

9 is divisible by 9, Therefore, 522 is divisible by 9

What is the value of the rational expression when x = –3?

-1/12
0
1/6
undefined

Answers

this is the grah of x=-3

Option D is correct, the value of the rational expression when x = –3 is undefined.

What is Expression?

An expression is combination of variables, numbers and operators.

The given expression is x/x²-9

x divided by x square minus nine.

Now let us find the value of the expression when x is minus three,

Plug in x as -3 in the above expression.

-3/(-3)²-9

-3/9-9

-3/0

Anything divided by zero then the value is undefined.

Hence, Option D is correct, the value of the rational expression when x = –3 is undefined.

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What is the value of the rational expression x/x2-9 when x = –3?

A. -1/12

B. 0

C. 1/6

D. Undefined

Owen invested $81,000 in an account paying an interest rate of 3\tfrac{7}{8}3 8 7 ​ % compounded continuously. Zoe invested $81,000 in an account paying an interest rate of 3\tfrac{1}{4}3 4 1 ​ % compounded monthly. After 9 years, how much more money would Owen have in his account than Zoe, to the nearest dollar?

Answers

Answer: $6322

114800.8806 - 108478.6929

= 6322.1877

Rounded to the nearest dollar = $6322

Answer:6761

Step-by-step explanation:

If the sum of two consecutive
even integers is - 18, find the
integers.

Answers

-10 and -8????

I believe because -10 + -8 = -18 and they are both consecutive

A shop sells orange juice in the following ways:

500 ml bottle for £1.25
1.5 litre carton for £2.35 each or 2 cartons for £3.50
2 litre carton for £3.25

What's the cheapest way of buying exactly 8 litres with no extra?
Find the amount of each type of bottle or carton you need and the total cost of buying 8 litres

Answers

Answer:

1.

1.5 litre carton for $2.35 is the cheapest way since it's the cheapest out of all the other options.

2.

a. 1.25 / 0.5 = $2.50 per L

2.35 / 1.5 = $1.57 per L

3.25 / 2 = $1.63 per L

b. 2.50 x 8 = $20.00 per 8 L

1.57 x 8 = $12.56 per 8 L

1.63 x 8 = $13.04 per 8 L

Step-by-step explanation:

find unit rate (cost / quantity)

There are 16 mangoes in a basket.They are ONLY Julie and east indian.If you take out a Julie and replace it with an east indian ,there will be an equal number of Julie and east indian mangoes.If you take you three east indian mangoes and replace them with Julie,the number of Julie will be three fi me the number of east Indians? At present there are how many east indian and Julie mangoes in the basket?​

Answers

Answer:

11 Julie's and 5 East Indians

You counted 28 big dogs and 20 small dogs running around at the park.
What was the small dogs to big dogs ratio ?

Answers

Answer:

5:7

Step-by-step explanation:

what is the common denominator of 6/7 and 3/8(please help i'm failing math)

Answers

Answer:

56

Step-by-step explanation:

the diameter of a circle is 8 centimeters

Answers

The radius is 4 is correct

In printing an article of 48,000 words, a printer decides to use two sizes of type. Using the larger type, a printed page contains 1,800 words. Using smaller type, a page contains 2,400 words. The article is allotted 21 full pages in a magazine. How many pages must be in smaller type

Answers

Answer:

17 pages

Step-by-step explanation:

Let L = number of pages printed Larger type

S = number of pages printed smaller type

 the article is allow 21 full pages in a magazine. -->L + S = 21

1,800L + 2, 400S = 48, 000 (we can divide 100 to make the math easier)

18L + 24S = 480

Solve:

L + S = 21

18L + 24S = 480

we can use elimination by eliminating 18L so we can isolate the value of S  

-18 (L + S = 21)

18L + 24S = 480

-18L - 18S = 378

18L + 24S = 480

6S = 102

S = 17

i started some of it but i’m really confused with the rest. does anyone know how to do this?

Answers

Answer:

see below

Step-by-step explanation:

You're doing well!  The parts of the table you've done are correct.

For x = 1, you switch to the second part of the function rule (because that part says to use it if [tex]x \ge 1[/tex].

x =1 :   6 - 2(1) = 4   (1, 4)

x = 2:  6 - 2(2) = 2   (2, 2)

x = 3:  6 - 2(3) = 0   (3, 0)

x = 4:  6 - 2(4) = -2  (4, -2)

Each of the parts of the function rule graph as pieces of straight lines.  The first part will be a straight line through points (-4, 1), (-3, 0), (-2, 1), (0, 3) but that part of the graph stops at point (1, 4).  Point (1, 4) is on BOTH parts of the graph, so the two lines connect at that point.

Answer:

Step-by-step explanation:

Select the quadrilateral for which the diagonal is a line of symmetry.
A. parallelogram
B. square
C. trapezoid
D. isosceles trapezoid

Answers

Answer:

b

Step-by-step explanation:

cut it in half, boom equal

Answer:

b

Step-by-step explanation:

hey i need all three boxes solved please
giving 12 points

Answers

Answer:

it says 6 points not 12 points

Step-by-step explanation:

round up 28.046 to the nearest hundredth​

Answers

Answer:

28.05

Step-by-step explanation:

Correct answer is 28.05

-3 and -5 what is less, greater than , and or equal

Answers

Answer:

-3 is less and -5 is greater

Step-by-step explanation:

Answer:

less than

Step-by-step explanation:

because -5 would be less than -3 because it is bigger


1. A linear function can be represented by the equation y = 7x - 4. Identify the slope and y-intercept.
y-intercept:
Slope:

Answers

Hello!

Remember y=mx+b.

m is the slope and b is the y intercept.

So

the slope is 7 and the y intercept is 4.

Hope this helps!

~Just a felicitous teen

#CarryOnLearning

[tex]SIlentNature[/tex]

Answer:

slope: 7

y-intercept:4

Step-by-step explanation:

Which describes the slope of the line that passes through the points (2, 5) and (– 4, 5)?

Answers

Answer:

m is the slope of line and x1, y1= 2,5 , and x2, y2= -4, 5

m = 5-2/-4-5 = -1/3

Step-by-step explanation:

6 * 2 /( -1)4* 5-(8+3)

Answers

Answer:

-251

Step-by-step explanation:

Following BEDMAS/PEMDAS

6*2/(-1)4*5-(8+3); first simplify the brackets/parenthesis

= 6*2/(-1)4*5-11; now do divisons and multiplications going from left to right

= 12/(-1)4*5-11 = -12*4*5-11 = -48*5-11 = -240-11

= -251

Х
у
-2
3
2
-9
6
-21
10
-33

Answers

Answer:

y = - 3x - 3

Step-by-step explanation:

Given table:

x | -2, 2, 6, 10    y | 3, -9, -21, -33

Use two pairs of points to work out the equation of the line y = mx + b:

(-2, 3) and (2, - 9)

Find the slope:

m = (-9 - 3)/(2 - (-2)) = - 12/4 = - 3

Use one pair to find the y-intercept:

3 = - 3*(-2) + b3 = 6 + bb = 3 - 6b = - 3

The line is:

y = - 3x - 3
☆Answer : (-2, 3) and (2, -9)

m = (-9 - 3)/(2 + 2) = -12/4 = -3 ==> (x)

3 = (-3)•(-2) + b

3 = 3•2 + b

3 = 6 + b

b = -3 ==> (a)

Soo :

y = -3x - 3

what is the equation in slope intercept form of the line that has a slope of -7 and y intercept of 3/11

Answers

Answer:

y = -7x + 3/11

Step-by-step explanation:

any of these please i don't get this

Answers

Answer:

  33. $5.75

  34. 15 ft

  35. 8

  36. 32

Step-by-step explanation:

These questions pretty much cover the sorts of things you're supposed to learn in an Algebra course. If you don't get any of it, you may have a problem with follow-on courses.

__

33.

You are expected to understand this question gives you two relations in two unknowns. The first step is to assign a variable to each of the unknowns. We can use ...

x = cost of a milk shakey = cost of a sundae

The given relations have to do with the prices of different quantities of these:

  2x +3y = 26.25 . . . . . . cost of 2 shakes and 3 sundaes

  4x +2y = 29.50 . . . . . . cost of 4 shakes and 2 sundaes

These two equations in two unknowns can be solved several ways. Here, it is convenient to use the method of "elimination", because the coefficients of x are related by a small integer. Subtracting the second equation from 2 times the first eliminates the x-variable (hence the name of the method).

  2(2x +3y) -(4x +2y) = 2(26.25) -(29.50)

  4y = 23.00 . . . . . . simplify

  y = 5.75 . . . . . . . . . divide both sides by 4

The cost of an ice cream sundae is $5.75.

We can substitute this value into either equation and solve for x. We would find the cost of a shake to be x=4.50. However, the question only asks for the price of a sundae.

__

34.

There are formulas for the perimeter, area, and volume of various geometric figures of a generally circular or rectangular shape. You might find it convenient to memorize them. Here, you need the formulas for the volume of a cylinder and of a cone. You also need to know that the diameter of a circle is 2 times the radius of the circle, since most of the circle-related formulas are in terms of the radius.

Volume of a cone of radius r and height h: V = 1/3πr²h

Volume of a cylinder of radius r and height h: V = πr²h

It can be convenient to remember that a cone has 1/3 the volume of a cylinder the same height.

The relation of interest here is the volume of the silo is the sum of the volumes of the bottom cylinder and the top cone.

  V = π(20 ft)²(60 ft) + 1/3(20 ft)²(x ft) = 26000π ft³

  V = 24000π ft³ +(400/3)x·π ft³ = 26000π ft³ . . . . simplify a bit

  400/3·x = 2000 . . . . . . . divide by π ft³, and subtract 24000

  x = 2000(3/400) = 15 . . . . multiply by 3/400

The height of the top portion is 15 feet.

__

35.

This has to do with understanding the meaning of a table and of an expression relating table values. The expression f(a) = g(b) means you're looking for table entries such that the number in the f(x) column is equal to the number in the g(x) column.

We find the only common function value to be -1, so f(-6) = -1 = g(1). Comparing this to f(a) = g(b), we see that a=-6.

The question asks for |g(a)|. The table tells us g(-6) = -8. Its absolute value will be the value without the negative sign:

  |g(-6)| = |-8| = 8 = |g(a)|

__

36.

This is a polynomial division problem. It tells you the quotient of the quadratic, divided by (ax +2), is (3x -4) with a remainder of 66. We're concerned with the leading coefficient of the divisor, 'a'.

Polynomial long division is much simpler than numerical long division, because each quotient term is the leading dividend term divided by the leading divisor term. Here, that means ...

  96x²/(ax) = 3x

Multiplying by ax gives ...

  96x² = 3ax²

Dividing by 3x², we see that ...

  (96x²)/(3x²) = (3ax²)/(3x²)

  96/3 = a = 32

The value of 'a' is 32.

Question 1 (2 points)

Find the missing side.

А b с

14

23

B

O

37

Answers

Answer:

USED YOUR BRAIN NOT BRAINLY...

Step-by-step explanation:

TY

Please help me! my teacher didn't teach me this!!

Answers

Answer:

skew

skew

parallel

parallel

Step-by-step explanation:

First see the below figure to understand parallel and skew lines

As you can see parallel lines lie on the same plane

skew lines lie on different plane and do not intersect

1)AB and GF

AB lies on ABCD plane

GF lies on EFGH plane

and they will never meet / intersect

so skew

2)DH and BF

DH lies on ADHE plane

BF lies on BCGF plane

they seem parallel but they are on different plane, so skew

3)EF and HG

EF and HG both lie on the same plane EFGH

and they both are parallel

4)for this see the second picture

both these planes are parallel

Hope this helps!

Graph the line with the equation y = 6/5x-2

Answers

Answer:

Step-by-step explanation:

The graph of equation is shown in figure.

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The equation of line is,

⇒ y = 6/5x - 2

Now,

Since, The equation of line is,

⇒ y = 6/5x - 2

Clearly, The slope = 6/5

And, The y - intercept = - 2

Thus, The graph of equation is shown in figure.

Learn more about the equation of line visit:

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Jane needs to make a four-letter password. If the first letter has to be a vowel, how many possibilities are there to choose from where y is not a vowel

Answers

The vowels are A,E,I,O,U so 5 because if you add them together it’s 5

The number of possibilities for Jane for making the four letter password (either upper case or lower case) with first letter being a vowel is 1406080

What is the rule of product in combinatorics?

If a work A can be done in p ways, and another work B can be done in q ways, then both A and B can be done in [tex]p \times q[/tex] ways.

Remember that this count doesn't differentiate between order of doing A first or B first then doing other work after the first work.

Thus, doing A then B is considered same as doing B then A

We need to find the number of ways a four letter password can be made The first letter is fixed to be a vowel.

There are 10 vowels (5 of lowercase and 5 of upper case).

Thus, 10 ways of choosing the first letter.

Second letter can be any of the 52 letters(26 of lowercase and 26 of uppercase).

Similarly, third and fourth letter can be any of the 52 letters.

Thus, using the product rule, the number of ways of making the four letter password is:

[tex]N = 10 \times 52 \times 52 \times 52 = 1406080[/tex]

(the answer can be different if we consider only either lowercase letters or only upper case letters. In those cases, there would be [tex]5 \times 26^3 = 87880[/tex] ways to make such passwords).

We used product rule, since we wanted to do the choosing of all the four letters for password, and we knew the number of ways each of them can be done individually.

Thus,  the number of possibilities for Jane for making the four letter password (either upper case or lower case) with first letter being a vowel is 1406080

Learn more about rule of product combinations here:

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3⁸ × 3⁹ in index form simplified​

Answers

Answer:

6561 x 19683

Step-by-step explanation:

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

If tan^2 = 1-a^2, then the value of sec+tan^3 cosec is

Pls explain fast

Answers

Answer:

for example okk then you will try

Answer: (1) (2 – e2)3/2

Solution:

Given,

tan2θ = 1 – e2

sec θ + tan3θ cosec θ

= sec θ + (sin3θ/cos3θ) (1/sin θ)

= sec θ + tan2θ sec θ

= sec θ(1 + tan2θ)

= √(1 + tan2θ) (1 + tan2θ)

= (1 + tan2θ)3/2

= (1 + 1 – e2)3/2

= (2 – e2)3/2

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