Triangle ABC has an Area of 4 3/8 square feet. If the length of AC IS 1 2/3 feet, what is the length of BC?

Triangle ABC Has An Area Of 4 3/8 Square Feet. If The Length Of AC IS 1 2/3 Feet, What Is The Length

Answers

Answer 1

Answer:

length of BC = 5 1/4 feet

Step-by-step explanation:

Area of a triangle = 1/2×base×height

Area = 4 3/8 square feet

Base = AC= 1 2/3 feet

Height = BC = ?

Area of a triangle = 1/2×base×height

4 3/8 = 1/2 × 1 2/3 × height

35/8 = 1/2 × 5/3 × height

35/8 = 5/6 × height

Height = 35/8 ÷ 5/6

= 35/8 × 6/5

= (35 × 6) / (8 × 5)

= 210 / 40

= 5 1/4 feet

Height = BC = 5 1/4 feet

length of BC = 5 1/4 feet


Related Questions

find the slope between the points (-10,8) and (-7,5)

Answers

Answer:

-1

Step-by-step explanation:

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

Slope = (8 - 5) / (-10 - -7)

Slope = 3 / (-3)

Slope = -1

(-10 ,8). (-7 , 5)
Y2-y1/x2-x1
8 - -10/ 5 - -7
18/ 12
You can leave it as 18/12 or 0.5 is your slope

Hope this helped *smiles*

Which inequality describes the graph?

Answers

Answer:

1 describe the inequality graph

Find the value of x and y from the equation ​

Answers

Answer:

x = 5 and y = 3

Step-by-step explanation:

5x - 3y = 16

3x - y = 12 multiply second equation by (-3)

(-3)*(3x-y) = 12*(-3) (remember we need to multiply both sides of the equation)

-9x + 3y = -36 now subtract this from the first equation

5x - 3y -9x + 3y = 16 - 36 (-3y will eliminate +3y)

-4x = -20 and 4x = 20 divide both sides by 4

x = 5 if 3x - y = 12 then 3*5 - y = 12

15 - y = 12

-y = -3 and y = 3

Find two positive numbers so that twice their sum equals their product and one number is 10 times the other number. Enter the smaller number first.

Answers

Answer:

Step-by-step explanation:

We'll call the 2 numbers x and y. Starting with the last part of that first sentence "one number is 10 times the other number" can be written, in algebraic form:

y = 10x

Now on to the first statement about the numbers: "twice their sum" is 2(x + y) and "equals their product" is = xy. Putting that all together:

2(x + y) = xy and we know that y = 10x so

2(x + 10x) = x(10x) and

[tex]2(11x)=10x^2[/tex] and

[tex]10x^2-22x=0[/tex] and

x(10x - 22) = 0 so

x = 0 or 10x - 22 = 0 which makes

x equal to [tex]\frac{22}{10}=2.2[/tex]

So x = 2.2 and y = 22.

what do you understand by socialization​

Answers

Socialization is the lifelong process through which people learn the values and norms of a given society.

What is the value of x?

Answers

oh my god you are such a god level hut

Answer:

A.36°

Step-by-step explanation:

65°+79°+X=180°

144+X=180°

X=180°-144°

X=36°

An airplane 30,000 feet above the ground begins descending at the rate of 2000 feet per minute. Assume the plane continues at the same rate of descent. How long will it take the plane to reach 12,000 feet above the ground

Answers

Answer:

Step-by-step explanation:

Let the time taken to reach 12,000 feet = x

Distance traveled in 1 minute = 2000 ft

Distance traveled in 'x' minute = 2000 * x = 2000x

30,000 - 2000x = 12000

Add 2000x to both sides

30,000 = 12000 + 2000x

Now subtract 12,000 from both sides

30000 - 12 000 = 2000x

2000x =  18 000

Divide both sides  by 2000

x = 18000/2000

x = 9 minutes

The polygons are similar, but not necessarily drawn to scale. Find the value of x. PLEASE HELPPPP

Answers

Answer:

x = 27.5.

Step-by-step explanation:

There are given numbers on each side. If the figures are similar, then they have a set ratio for each value.

So, 55:8 and x:4. If you want to, you can flip it, so that it is 8:55 and 4:x.

With that in mind, it is easy to see what the ratio is. Because 4 is half of 8, x is half of 55. 55 divided by 2 is 27.5.

Therefore, x = 27.5.

determina la pendiente (0,4) (-5,0)

Answers

Answer:

Use the slope formula to find the slope  

m

.

m

=

4/5  

Step-by-step explanation:

If a = 5, b = 4, and c = 7, find the value for 3(b + a) = c.
10
15
34
20

Answers

Answer:

20

Step-by-step explanation:

3 (b + a) = c

3 (4 + 5) = 7

12 + 15 = 7

27 = 7

27 - 7

20

[tex]\huge\boxed{ \sf{Answer}} [/tex]

Given,

[tex]a = 5 \\ b = 4 \\ c = 7[/tex]

And the equation we need to solve is,

[tex]3(b + a) = c[/tex]

To find the answer, you need to substitute the values of a, b & c in the equation.

[tex]3(b + a) = c \\ 3b + 3a = c \\ ( 3 \times 4) +( 3 \times 5) = 7 \\ 12 + 15 = 7 \\ 12 + 15 - 7 = 0 \\ = 27 - 7 \\ = 20[/tex]

The answer is 20.

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐

please help....Which fraction has the greatest value?

Answers

Answer:

5/6

Step-by-step explanation:

Answer:

5/6

Step-by-step explanation:

Any negative number couldn't count as more than a positive. 5 is more than 1, so the correct answer has to be 5/6.

24 is 8 times as great as q

Answers

Answer:

Q = 3

Step-by-step explanation:

24 divided by 8 = 3
q = 3

Please help I don’t understand

Answers

Answer:

8/15

Step-by-step explanation:

The ratio of perpendicular to base is tan B .

Here ,

=> tan B = 8 ft/ 15ft

=> tan B = 8/15

What is the product?
(7x^2y^3)(3x^5y^8)
10x^7+y^11
10X^10y^24
21x^7y^11
21x^10y^24

Answers

Answer:

21x^7y^11.

Step-by-step explanation:

:D

A girl walked 6km from her house to a market and discovered that she had covered 4/5 of the distance to the market how far is the market from her house

Answers

Answer: [tex]7.5\ km[/tex]

Step-by-step explanation:

Given

Girl has traveled 6 km from her house

She has covered [tex]\frac{4}{5}[/tex] of the distance

Suppose the total distance is x

[tex]\therefore 6=\dfrac{4x}{5}\\\\\Rightarrow x=\dfrac{30}{4}\\\\\Rightarrow x=\dfrac{15}{2}\ \text{km}\\\\\Rightarrow x=7.5\ \text{km}[/tex]

Please help me with this

Answers

Answer:

120 in^2

Hope it helps

which graph best represents the line y= -1/5x+2

Answers

Answer:

B

Step-by-step explanation:

Line crosses y-axis at 2.

Slope = [tex]\frac{-1}{5}[/tex]

For each 1 square the line rises/falls it moves to the right/left 5 squares.

Negative slope lines are downhill left to right.  

The correct graph to represent the line y = -1/5 x + 2 will be;

⇒ Graph 2

What is Equation of line?

The equation of line with slope m and y intercept at point b is given as;

y = mx + b

Given that;

The equation of line is;

⇒ y = - 1/5 x + 2

Now,

The standard form of the equation of line with slope m and y intercept at point b is given as;

y = mx + b

By comparing we get;

Slope (m) = - 1/5

In the second figure;

Let two points on the graph (0, 2) and (5 , 1).

So, Slope is defined as;

m = (1 - 2) / (5 - 0)

m = - 1 / 5

And, Clearly the y - intercept is at point 2.

Therefore,

Graph 2 shows the correct graph to represent the line y = -1/5 x + 2.

Learn more about the equation of line visit:

https://brainly.com/question/18831322

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What is the area of this figure

Help please!!!!

Answers

Answer:

the area is 279 mm squared

Step-by-step explanation:

The area is 279 mm

Explanation

Ted can clear a football field of debris in 3 hours. Jacob can clear the same field in 2 hours. When they work together, the situation can be modeled by the equation, where t is the number of hours it would take to clear the field together.


How long will it take Ted and Jacob to clear the field together?

Answers

Answer:

[tex]\frac{6}{5}[/tex] of an hour = 1 1/5 hour = 72 minutes

Step-by-step explanation:

[tex]\frac{1}{3} h + \frac{1}{2}h = 1\\\\\frac{2}{6} h + \frac{3}{6}h = 1\\\\\\\frac{5 }{6} h =1\\\\h=\frac{6}{5}[/tex]

it would take Ted and Jacob 1.2 hours, or 1 hour and 12 minutes, to clear the field together.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Let's start by using the formula for the combined work of two people:

1/t = 1/3 + 1/2

Here, t represents the number of hours it would take to clear the field together.

To solve for t, we can first find a common denominator for the fractions on the right-hand side of the equation:

1/t = (2/6) + (3/6)

1/t = 5/6

To isolate t on one side of the equation, we can take the reciprocal of both sides:

t/1 = 6/5

t = 1.2

Therefore, it would take Ted and Jacob 1.2 hours, or 1 hour and 12 minutes, to clear the field together.

To learn more on Equation:

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What is the value of x in the equation 0.7x – 1.4 = –3.5?

1. -7
2. -3
3. 7
4. 3

Answers

Answer:

the answer is -3

Step-by-step explanation:

0.7x - 1.4 = -3.5

add 1.4 to both sides of the equation

you're left with 0.7x = -2.1

then divide both sides by 0.7

you're left with your answer of -3

Max can travel 100 miles in 2 hours. At this rate, how many hours will it take him to travel 650 miles?

Answers

100miles in 2hrs
650miles in x hrs

If you think of it 650/100 = 6.5

So the distance is 6.5 times

So the time is 6.5 times 2hrs

=13 hrs total

Solve the inequality.

–13.4 ≥ 6.7 + 4.3 + w


–24.4 ≥ w


24.4 ≥ w


23.4 ≥ w


–23.4 ≥ w

Answers

Answer:

-24.4 ≥ w

Step-by-step explanation:

-13.4 ≥ 6.7 + 4.3 + w

-13.4 - 6.7 - 4.3 ≥ w

-24.4 ≥ w

Someone please help me on this and please tell me the answer directly please !!

Answers

Answer:

I find this question

and I suppose your first question is should be 12 ( I'm not sure)

Answer:

The first one is: 12

The second one is: Subtract 1.1j from both sides.

The third one is: i'm not sure about that one

The fourth one is: 1/2

Step-by-step explanation:

Answer the following question.
You earn $8 per hour at a pizza parlor. Last week, you made $288. How many hours did you work in order to make that
much money?

Answers

Answer: 36 hours
In order to figure this out, you divide the total amount of by the amount made per hour so that would be 288/8 which equals 36

Devaughn is 7 years older than Sydney. The sum of their ages is 95. What is Sydney's age?​

Answers

Answer:

44

Step-by-step explanation:

Let's say that Devaughn's age is D, and Sydney's age is S.

We know that D is 7 greater than S, so D = 7 + S.

We know that the sum of their ages, or D + S, is equal to 95, so D+S = 95

We have

D = 7 + S

D + S = 95

What we can do is plug D= 7 + S into the second equation to get

D + S = 95

= (7+ S) + S

= 7 + 2 * S

7+2 * S - 95

subtract 7 from both sides to isolate the coefficient and the variable

2 * S = 88

divide both sides by 2 to isolate the variable

S = 44

Sydney is therefore 44 years old

through: (4,- 4), perp. to y = -4x - 2

Answers

Answer:

Step-by-step explanation:

y = -4x - 2

slope of line = -4

slope of perpendicular to line = ¼

Point-slope equation for line of slope ¼, passing through (4,-4):

y+4 = ¼(x-4)

In slope-intercept form:

y = ¼x - 5

The number line shows the car's starting point and the ending point.
Find the distance between them.

Answers

Answer:

-12/7

Step-by-step explanation:

[tex] \frac{ - 5}{7} - \frac{7}{7} [/tex]

[tex] \frac{ - 5 - 7}{7} [/tex]

[tex] \frac{ - 12}{7} [/tex]

Third option is the answer.

What are the coordinates of points E, F, and GS

A. E (2, 3), F (8,5), G (5,8)
B. E (3, 2), F (8,3), G (5,6)
C. E (3, 2), F (8,4), G (5,7)
D. E (3, 3), F (9, 4), G (6,7)

Answers

Answer:

its a i think

Step-by-step explanation:

The answer will be A

H Solve the following questions.
| Mrs Liya cut a cake into 10 parts and give it out to her 3 children. Liza got the largest parts while Lina got the smallest parts. The difference between the number of parts Liza had and the number of
parts Lina had is equal to the number of parts Lini had. How many
parts did each of them have?

Answers

Answer:

Liza: 5 parts

Lina: 2 parts

Lini: 3 parts

Step-by-step explanation:

Basically, the parts whould equal ten. By following the criteria, Lina must have the least parts, while LIza has the most parts. If the difference between Liza and Lina should be equal to the number of parts Lina had

5-2=3 parts for Lini

Thank you. Tell me if any incorrections.

The volume of air inside a rubber ball with radius r can be found using the function V(r)= 4/3pier^3 what does V(5/7) represent?

Answers

Answer:

Step-by-step explanation:

I can tell you what it represents, but not what it means. Or maybe the units.

V(5/7) means that wherever you see an r on the right hand side, you put in 5/7 where the R is.

V = 4/3 * pi * r^3

V(5/7) = 4/3 * 3.14 * (5/7)^3

V(5/7) = 4/3 * 3.14 * 125 / 343

V(5/7) = 4/3 * 3.14 * 0.3644

V(5/7) = 1.526 cubic units (of whatever the units of 5/7 were to begin with)

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