Using the formula for the area of a triangle, , write an expression for the area of ΔABC. Base your answer on the work you did in parts G through I. Show your work.

Answers

Answer 1

Answer:

[tex]Area = \frac{1}{2} * AC * D[/tex]

Step-by-step explanation:

From the complete question, we have:

Length D to be perpendicular to side AC

So, the area of the triangle is:

[tex]Area = \frac{1}{2} * Base * Height[/tex]

Since:

Length D is perpendicular to side AC

Then:

[tex]Base = AC[/tex]

[tex]Heigjt =D[/tex]

So:

[tex]Area = \frac{1}{2} * AC * D[/tex]


Related Questions

A corporate team-building event cost $4, plus an additional $3 per attendee. If there are 39 attendees, how much will the corporate team-building cost?

Answers

Answer:

$121

Step-by-step explanation:

Find how much additional money it will cost from the attendees:

39(3)

= 117

Add the other $4:

117 + 4

= 121

So, it will cost $121

Write a phrase in words to match each expression.
5+3
——
n

Answers

Answer:

sum of five and 3 is divided by n

4(1\:-\:2b)\:+\:7b\:-\:10
[tex]4(1\:-\:2b)\:+\:7b\:-\:10[/tex]

Answers

Answer:

-6 -b

Step-by-step explanation:

I have attached the explanation above. hopefully this will help you

Find the equation of a quadratic function in general form whose graph has points: (-2, 3) (0, 3) and (-4,-5).

Try your best to show complete work & explain your strategy.

Answers

Answer:

-x²-2x+3

Step-by-step explanation:

The first thing I noticed is that the first and second point has the same y intercept despite being only 2 x coordiantes away. This must mean that the vertex's x coordiante is probably (-1,4)

Because the vertex is probably (-1,4) the graph must also be concave down because the point (-4,-5) is below it

writing this in vertex form we get

-a(x+1)²+4

Where a is some constant

solve for a by plugging in (0,3)

3= -a(0+1)²+4

3= -a+4

-1= -a

a=1

therefore the equation looks like

-(x+1)²+4

expanding this so that it's in stantard form...

-(x²+x+x+1)+4

-x²-2x+3

which is the final answer

Find the volume of this sphere. Use 3 for pi.

Answers

Answer:

radius=16divided by 2

=8

Volume=4÷3πr^3

Volume=4÷3×3×8

Volume=96÷3

Volume=32

Solve The inequality

Answers

Answer:

D is the correct answer.

Please thank me

Step-by-step explanation:

the ratio of 10:25 in its simplest form?

Answers

Answer:

2:5

Step-by-step explanation:

10:25 = 10/25 = 2/5 = 2:5

Answer:

2:5

Step-by-step explanation:

divide both of them by 5

10 divided by 5 is 2

25 divided by 5 is 5

what is the value of the determinant? ​

Answers

Answer:

The value of the determinant is 0.

Step-by-step explanation:

Since it is a 3 x 3 determinant, we can calculate its value by the Law of Sarrus:

[tex]Det = (11)\cdot (98)\cdot (26\cdot y) + (97)\cdot (24\cdot y) \cdot (13) + (22\cdot y) \cdot (12) \cdot (99) - (22\cdot y) \cdot (98) \cdot (13) - (97)\cdot (12) \cdot (26\cdot y) - (11) \cdot (24\cdot y) \cdot (99)[/tex]

[tex]Det = 28028\cdot y + 30264\cdot y + 26136\cdot y - 28028\cdot y - 30264\cdot y - 26136\cdot y[/tex]

[tex]Det = 0[/tex]

The value of the determinant is 0.

Determine the area of the triangle.
223.6 square units
248.7 square units
447.1 square units
458.4 square units

Answers

Answer:

223.6 square units. or 223.569 square units

Answer:A

Step-by-step explanation:I took the test

(X, Y) satisfy the equation? JW Is (-94,-5) a solution to the equation y = x + 89? yes no​

Answers

Answer:

si

Step-by-step explanation:

si  :v

Answer:

yes

Step-by-step explanation:

y = x + 89

-5 = -94 + 89

-5 = -5

what is the maximum value of y=-x^2-x+6 ?

Answers

Answer:

[tex]{ \tt{y = - {x}^{2} - x + 6 }} \\ { \tt{ \frac{dy}{dx} = - 2x - 1}} \\ f {}^{'} (x) = - 2x - 1 \\ f {}^{'}(1) = - 2 - 1 \\ = - 3 [/tex]

Use a trigonometric ratio to find the value of x. Round your answer to the nearest tenth.

Answers

I believe it’s 7 but I don’t think it is

The map shows locations of a new town. Circle the correct ordered pair for each location.


A. Library
(2, 3)
(3, 2)
(3, 3)
(8,2)

B. Park
(2,8)
(8,3)

C. Market
(3,7)
(4,7)
(3,6)

D. Rec Center
(4,10)
(10,4)
(4,9)

E. Pool
(6,5)
(6,7)
(6,6)


F. MovieTheater
(8,9)
(9,8)
(9,9)

G. Ice CreamShop
(5, 4)
(4,5)
(6,4)

Answers

Answer:

library 2,3

park 8,2

market 3,7

red centers 4,10

pool 6,6

movie theater 9,9

ice cream shop 5,4

What is the value if X?

A) 16
B) 30
C) 8
D) 15


A step by step analysis would be greatly appreciated but a simple answer will do as well.​

Answers

Answer:

[tex] \large{ \tt{ \bigstar \: {EXPLANATION : }}}[/tex]

Q. What do you mean by circumference ?

Ans : The perimeter of a circle is called its circumference. It is the total length of the curved line of the circle.

Q. What do you mean by chord ?

Ans : The line segment that joins any two points on the circumference of a circle is called the chord of the circle. In the figure , BA and DC are any two chords of the circle.

[ See the attached picture ] Observe the figure , you can see AB = 30 & CD = 15 + 15 = 30 which means chord BA and DC are equal. We know : Equal chords of a circle are equidistant from the centre. Hence, PO = OQ = 16 .

[tex] \large{ \boxed{ \boxed{ \tt{✺ \: OUR \: FINAL \: ANSWER : \boxed{16}}}}}[/tex]

Hope I helped! Let me know if you have any queries regarding my answer and also , Notify me if you need any help! ツ

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

I think the answer is 16 so I hope it help

P=(2,3,5,7) Express it in description method and in rule method.​

Answers

Answer:

prime number between 1 to7

The description of set P is the set of prime numbers less than or equal to 7 and the rule is {x | x is a prime number less than or equal to 7}

How to describe the set of P?

The set P is given as:

P = {2,3,5,7}

Note that the numbers are prime numbers.

This means that the description of set P is the set of prime numbers less than or equal to 7

The rule form of the set would be:

P = {x | x is a prime number less than or equal to 7}

Read more about sets at:

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Which equation could be used to solve for the value of n if n + 2 = 6?
O2 + 6 = n
O 2-6 =n
O 6 +2=n
06-2=n

Answers

d

Step-by-step explanation:

6-2=n will be used because when 2 goes to other side then positive sign turns to negative sign

Find the measure of the indicated angle

Answers

I think the answer is 23

Answer:

67°

Step-by-step explanation:

What is the first step in solving the following systrm of equations?
3x + y = 23 and 8x + 2y = 23
A. Substitute the value of y from one equation into the other equation
B. Solve the first equation for y
C. Subtract the second equation from the first equation
D. Substitute the value of x from one equation into the other equation ​

Answers

Hello!

{3x + y = 23 _ {y = 23 - 3x

{8x + 2y = 23 {8x + 2(23 - 3x)

The answer is A.

Good luck! :)

i need help with this problem can someone help me!!!!

Answers

Answer:

x = 3 in

Step-by-step explanation:

From the Pythagorean theorem,

x² = 4²-7²

√(4²-√7²)

= √(16-7)

= √9

= 3 in

Answered by GAUTHMATH

Two particles have positions at time t given by s1=4t-t^2 and s2=5t^2-t^3. Find the velocities

Answers

Step-by-step explanation:

Given that,

The positions of the first particle,[tex]s_1=4t-t^2[/tex]

Velocity,

[tex]v_1=\dfrac{ds_1}{dt}\\\\v_1=\dfrac{d(4t-t^2)}{dt}\\\\v_1=4-2t[/tex]

Position,

[tex]s_2=5t^2-t^3[/tex]

[tex]v_2=\dfrac{ds_2}{dt}\\\\v_2=\dfrac{d(5t^2-t^3)}{dt}\\\\v_2=10t-3t^2[/tex]

Hence, this is the required solution.

number of ways you can wear 10 outfits to school each day in a 5 day week

Answers

Answer:

1 day=10outfits

5days=10outfits×5

=50outfits

Step-by-step explanation:

hope this is helpful

Based on the calculation, you can wear the 10 outfits in 50 different ways throughout the week.

How to calculate the number of ways

To calculate the number of ways you can wear 10 outfits to school each day in a 5-day week, you need to consider the total number of outfits across all days. Since there are 10 outfits and 5 days, the total number of outfit combinations can be calculated by multiplying the number of outfits per day by the number of days:

10 outfits/day × 5 days = 50 outfit combinations

Therefore, you can wear the 10 outfits in 50 different ways throughout the week.

Learn more about permutations

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Which is expression is equivalent to (x^-4y/x^-9y^5)^-2

Answers

Answer:

[tex]\frac{y^8}{x^{10}}[/tex]

Step-by-step explanation:

Given

[tex](\frac{x^{-4}y}{x^{-9}y^5})^{-2}[/tex]

Required

The equivalent

Apply law of indices to the inner bracket

[tex](x^{-4--9}y^{1 -5})^{-2}[/tex]

[tex](x^{5}y^{-4})^{-2}[/tex]

Rewrite as:

[tex]\frac{1}{(x^{5}y^{-4})^2}[/tex]

Expand

[tex]\frac{1}{(x^{5*2}y^{-4*2})}[/tex]

[tex]\frac{1}{(x^{10}y^{-8})}[/tex]

Apply law of indices

[tex]\frac{y^8}{x^{10}}[/tex]

The distance traveled (in meters) by a frog is modeled by the equation d=2t where d is the distance traveled in meters and t is the time in minutes. Find the distance traveled in 25 minutes.

Answers

Given,

d = 2t

here, t = 25

Therefore,

d = 2*25

= 50m

What is the volume of the cone to the nearest whole number?

Answers

Answer:

the volume of the cone is 60

Step-by-step explanation:

12×5=60

Which of the following is an example of an exponential equation?
y=(3x)^2
y=x/2
y=x^4
y=2(3)^x

Answers

Answer:

Option D

Step-by-step explanation:

y = 2(3)^x is the example of exponential equation.

Find the length of side xx in simplest radical form with a rational denominator.

Answers

Answer:

Solution given:

it is a right angled isosceles triangle

so

perpendicular [p]=base[b]=3

hypotenuse [h]=x

we have

by using Pythagoras law

p²+b²=h²

3²+3²=h²

18=h²

h=[tex]\sqrt{18}[/tex]

x=[tex]\bold{3\sqrt{2}}[/tex]

Determine the area of the triangle.
96.0 square units
16.9 square units
192.0 square units
97.5 square units

Answers

Answer:

A. 96.0 square units

Step-by-step explanation:

The formula for the area of a triangle when we know the side length of two sides and the measure of an included angle of a triangle is given as:

A = ½*a*b*Sin C

Where,

a = 13

b = 15

C = 80°

Plug in the values into the formula

A = ½*13*15*Sin 80

A = 96.0187559

A = 96.0 square units (nearest tenth)

Answer:A

Step-by-step explanation: I took the test

1. make r the subject of the relation. 2. Find the value of r when s=117, m = 2 and n=-3. m=r-s ÷2nr​

Answers

Answer:

Hence, the required answers are (i) r= -s/(2nm-1) and r=g.

Step-by-step explanation:

solution: m= r-s/2nr

i) m= r-s/2nr  2)  m(2nr) = r-s (i) s=117 ,m=2, n=-3

2) 2xnxmxr= r-s        2) r= -s/(2nm-1)

3) move the "r" on the right to the 2)   r=  -117/(2x(-3)x2)-16

-2nrm-r= -s

- r(r-2nm-1)= -s                     2)  r= (-117/-13)=)r=g

- r= -s/(2nm-1)

Hence, the required answers are (i) r= -s/(2nm-1) and r=g.

Find the value of cos H rounded to the nearest hundredth, if necessary

Answers

Answer:

0.6

Step-by-step explanation:

cos H = GH/FH

FH^2=20^2+15^2

FH^2=400+225=625

FH=25

cos H= 15/25=3/5=0.6

Answer:  0.6

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

Explanation:

Before we can apply a trig ratio, we need to find the length of the hypotenuse. Use the pythagorean theorem.

a^2 + b^2 = c^2

c^2 = a^2 + b^2

c = sqrt(a^2 + b^2)

c = sqrt(15^2 + 20^2)

c = 25

The hypotenuse is 25 units long, which is the length of segment FH.

Now we can find the cosine ratio

cos(angle) = adjacent/hypotenuse

cos(H) = GH/FH

cos(H) = 15/25

cos(H) = 3/5

cos(H) = 0.6

The owner of a coffee shop compared the amount of hot coffee per day, in fluid ounces, sold and the daily high temp. In degrees f per day, 5.9x+850=

Answers

The question is not complete as the scatter plot is missing.

Thus, I have attached the complete question showing the scatter plot.

Answer:

D: On a day with a high temperature of 0°C, the shop can expect to sell about 850 fluid ounces of hot coffee

Step-by-step explanation:

From the attached image showing the question and scatter plot, we can see that the scatter plot is modeled by the line; y = -5.9x + 850

Where;

x is the high temperature in °F

y is the amount of fluid ounces sold

Let's try x = 0°F

Thus;

y = 0 + 850

y = 850 fluid ounces

Let's try x = 10°F

Thus;

y = -5.9(10) + 850

y = 850 - 59

y = 791

This means for every increase in temperature of 10°F, the amount sold is approximately 60 fluid ounces lesser.

Looking at the options in the attached file, the only correct one that corresponds to our answer is option D where it says;. On a day with a high temperature of 0°C, the shop can expect to sell about 850 fluid ounces of hot coffee

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