In a trapezoid the sum of the bases is 28 and the area is 84.
What is the altitude or height of the trapezoid?

Answers

Answer 1

Answer:   If you sketch this out, you should be able to convince yourself that if you drew a line parallel to the bases and halfway between them, and a vertical at the end of that line, there would be an extra triangle on the longer base that would just fit into the space at the end of the shorter base, if you cut and pasted it.

You should also be able to convince yourself by what you know about similarity that the length of that parallel halfway line is just halfway between the lengths of the bases (you can add them and divide by two).

So your trapezoid (trapezium, we call ’em this side of the pond) has the same area as a rectangle with an altitude equal to the trapezoid’s and a width equal to the sum of those bases divided by two. And since you know about rectangles, you’re home and dry. I suggest you do the sketch, fill in the numbers, and then you’ve completed a model piece of homework that should earn full marks and the teacher’s approval.

Step-by-step explanation:


Related Questions

what number is equivalent to the expanded form shown below (2 x 100) + (3 x 1) + (4 x 1/10) + 3 x 1/1,000)​

Answers

(2×100)+(3×1)+(4×1/10)+(3×1/1000)

200+3+0.4+0.003

203.401

Please give me brainliest

The equivalent number is, 203.403.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expanded form of an number is,

⇒ (2 x 100) + (3 x 1) + (4 x 1/10) + 3 x 1/1,000)​

Now, We can write the number as;

⇒ (2 x 100) + (3 x 1) + (4 x 1/10) + (3 x 1/1,000)​

⇒ 200 + 3 + 0.4 + 0.003

⇒ 203.403

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what is the area of a heptagon with a side length 15m

Answers

A≈817.63m²

a Side

15

m

a

a

a

P

A

Solution

A=7

4a2cot(180°

7)=7

4·152·cot(180°

7)≈817.6303m²

Rewrite each expression below using the Distributive Property :

a. 5 (2x + 1)

b. 34 (x - 1)

c. 9 (x + 3)

Answers

a. 10x+6

b. 34x-34

c. 9x+27

what is the measurement for x? anwer fastpls

Answers

Answer:

137°

Step-by-step explanation:

90+47= 137°

the sum of two interior angles is equally to the further exterior angle.

what percent of 32 is 5.6

Answers

Answer:

17.5 %

Step-by-step explanation:

5.6 is 17.5 percent of 32

3 3/5 + 1 1/6 answer as a fraction

Answers

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

[tex] \frac{(3 \times 5) + 3}{5} + \frac{(1 \times 6) + 1}{6} = \\ [/tex]

[tex] \frac{15 + 3}{5} + \frac{6 + 1}{6} = \\ [/tex]

[tex] \frac{18}{5} + \frac{7}{6} = \\ [/tex]

[tex] \frac{18 \times 6}{5 \times 6} + \frac{7 \times 5}{6 \times 5} = \\ [/tex]

[tex] \frac{108}{30} + \frac{35}{30} = \\ [/tex]

[tex] \frac{108 + 35}{ 30} = \\ [/tex]

[tex] \frac{143}{30} \\ [/tex]

solve the system of equations 2y - 3x = -27 5y + 3x = 6 PLEASE EXPLAIN STEPS!
(photo included)

Answers

Answer:

x=7   y= -3

Step-by-step explanation:

When you ADD both the x variable is cancelled

since -3x + 3x = zero

then you solve for y  And when you plug the value of y you will solve x

     2y-3x =-27

     5y+3x =6

   ADD BOTH

    7y = -21

    y = -3

     PLUG y

5(-3)+3x  = 6

 -15 + 3x = 6

     3x = 21

      x=7

Question 2 of 10
What is the area, measured in square centimeters, of the green shape
pictured below? Do not include units in your answer.
1 cm
Icm

Answers

Answer:

15

Step-by-step explanation:

Count the units in the green shape or 3 x 5 = 15

Please help im confused on both.

Answers

Answer: (1) and (4)

Step-by-step explanation:

The parts listed in the ciongruence statements don't correspond, so they aren't necessarily congruent.

2) Jessica is selling girl scout cookies and recorded how many she
sold in one afternoon. She sold Thin Mints, Trefoils, and Samoas.


a) She sold 54 boxes of Thin Mints, which was 60% of the total
number she sold. How many total boxes did she sell?

Answers

Answer: 90.

Step-by-step explanation: According to the question above, 54 Thin Mints cookies were 60% of the total amount of cookies she sold in one afternoon and the remaining 40% is still missing. 54 / 3 is 18, which is part of our answer, because if 54 is 60%, then 18 is 20%. 18 x 2 is 36, and 36 is 40%. Now that we've found the remaining 40%, the rest is adding 54 and 36, which gives you an answer of 90.

who ever can help ill give brainlist

Answers

Answer: 2/10. 2/10 is equal to 20 and 8/100 is equal to 8.

Answer:

?=2

Step-by-step explanation:

1. Solve

?/10+8/100=28/100

?/10+8/100-8/100=28/100-8/100

?/10=20/100

2. Simplify

20/100=2/10

so, ?/10=2/10

3. Check

2/10+8/100=28/100

20/100+8/100=28/100

28/100=28/100

Correct !

4. Answer

400/3*6 I don't know I don't have a calculator

Answers

Answer:

22 [tex]\frac{2}{9}[/tex]

Step-by-step explanation:

400/3*6

400/18 = 22 [tex]\frac{2}{9\\}[/tex]

or 22.222 to the nearest thousandths.

Name the image of C(6, –4) under a rotation 90 counter-clockwise about the origin.

a. C(–4, –6)
b. C(6, 4)
c. C(–6, –4)
d. C(4, 6)

Answers

The answer is B because it’s at a positive and negative and when u go up it’s gonna be at a positive positive

Complete the square to write the equation, 4x2 24x – y 43 = 0, in standard form. y = (x )2

Answers

An equation is formed of two equal expressions. The equation 4x²+24x-y+43=0 in the standard form of y=(x)² is written as (y-7)=(2x+6)².

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The equation that is given to us is 4x²+24x-y+43=0, and we need to write the given equation in the form of y=(x)². Therefore, the equation can be solved in the following steps,

[tex]4x^2+24x-y+43=0\\\\4x^2+24x-y+36+7=0\\\\(4x^2+24x+36)-y+7=0\\\\(2x+6)^2-(y-7)=0\\\\(y-7)=(2x+6)^2[/tex]

Hence, the equation 4x²+24x-y+43=0 in the standard form of y=(x)² is written as (y-7)=(2x+6)².

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Quick!!! Solve for the missing lengths using trigonometric ratios.
*
110m
42°
Х

Answers

Answer:

see explanation

Step-by-step explanation:

using the tangent ratio in the right triangle to find x

tan42° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{10}{x}[/tex] ( multiply both sides by x )

x × tan42° = 10 ( divide both sides by tan42° )

x = [tex]\frac{10}{tan42}[/tex] ≈ 11.1 ( to 1 dec. place )

-------------------------------------------------

using the sine ratio to find the hypotenuse h

sin42° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{10}{h}[/tex] ( multiply both sides by h )

h × sin42° = 10 ( divide both sides by sin42° )

h = [tex]\frac{10}{sin42}[/tex] ≈ 14.9 ( to 1 dec. place )

Pls help me: A couple plans to have 4 children. The gender of each child is equally likely. Design a simulation involving 90 trials that you can use to model the genders of the children, you do not need to generate the numbers or find the probability, just explain how your simulation would work. You should include information like how many digits long each number is, which digits represent a boy child and which digits represent a girl. also show the step by step of how to ans this.

Answers

The simulation of the gender of a child by the couple is an illustration of probability.

How to design a simulation?

The number of trials (n) is given as:

n = 90

The chance of getting each gender is equal.

So, we have:

P(Boy) = 0.5

P(Girl) = 0.5

The simulation would be based on numbers 0 to 9. Such that:

The numbers 0 to 4 represent a boy childThe numbers 5 to 9 represent a girl child

Notice that each gender have the same amount of digits i.e. 5

This is so because they both have equal chance

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just trying some stuff coz i dont use this ttoo much

Answers

Step-by-step explanation:

ohhhhhhhhhhhhhhhh.......

Assume that f(x) = 2x^2 + 4. The function f(x) + k, where k is a constant, is represented by the graph below. what effect did adding k have on the graph of f(x)‽​

Answers

The effect  of adding k on the graph of f(x) will shift the curve upward by k units on the xy-plane.

Shifting of quadratic graph is the vertical direction

Given the parent function of the given graph expressed as  f(x) = 2x^2 + 4.

If this function is represented as f(x)+k, the addition of the constant "k" shows hat the  function f(x) has been shifted vertically upwards by a factors of 'k'

Hence the effect  of adding k on the graph of f(x) will shift the curve upward by k units on the xy-plane.

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Find the equation of the line shown.

Answers

Answer:

(0,6) to (4,10) it might be the answer..........

The equation of the line passing through the points (0, 6) and (4, 10) is y = x + 6.

Here, we have,

To find the equation of the line passing through the points (0, 6) and (4, 10), we can use the slope-intercept form of a linear equation, which is given by:

y = mx + b,

where m is the slope of the line, and b is the y-intercept.

First, let's calculate the slope (m) using the formula:

m = (y₂ - y₁) / (x₂ - x₁),

where (x₁, y₁) = (0, 6) and (x₂, y₂) = (4, 10).

m = (10 - 6) / (4 - 0) = 4 / 4 = 1.

Now that we have the slope (m = 1), we can substitute it into the slope-intercept form along with one of the given points to find the y-intercept (b).

Using the point (0, 6), we have:

6 = 1(0) + b,

b = 6.

Therefore, the y-intercept (b) is 6.

Now we can write the equation of the line using the slope-intercept form:

y = mx + b,

y = 1x + 6,

y = x + 6.

Hence, the equation of the line passing through the points (0, 6) and (4, 10) is y = x + 6.

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How many 1 1/2 are in 6 hexagons

Answers

Answer:3

Step-by-step explanation:I’m the best

calculate the perimeter of a rectangle that is 5.5 c by 3.5 cm?

Answers

P = 2 x (5,5 + 3,5) = 18 cm

P = is the circumference of the figure

Answer:

the answer should be 18 cm

you can either do 2 × (length + width)

2 × (5.5 + 3.5)

2 × 9 = 18

or

5.5 + 5.5 = 11

3.5 + 3.5 = 7

11 + 7 = 18

either way it's 18, I hope this helps

PLS HELP ILL GIVE EXTRA POINTS NEED ASAP

Answers

The answer is 6 , due to the fact the 9-3 =6

Answer:

5

Step-by-step explanation:

Median from 24 to 28

24 + 28 / 252 / 226

Median from 28 to 34

28 + 34 / 262 /231

Interquartile range

M2 - M131 - 265

Molly bought a large basket of 60 apples.
When she got home, she found 6 rotten
ones. If she goes back and buys 200 more
apples, how many rotten apples would she
expect there to be?

Answers

Answer:

approximately 14

Step-by-step explanation:

first find out how many sets of 60 there are

200/60=3.3

3.3 sets of 4 apples

but you can't have 2/3 of a rotten apple

so 3.5 sets of 4 rotten apples

4x3.5=14

If the volume of the box is 123in what is the height of the box

Answers

Area = 41 square inches
1. Multiply the are by the height:
41 x 7 = 287 cubic inches.
2. Divide volume by area:
123 / 41 = 3 inches

Four Friends pay £12 each to hire a hole for a band practice how much Wood 12 friends pay each to hire the same hall

Answers

Answer:

4 dollars per friend

Step-by-step explanation:

So, if 4 friends are paying 12 dollars, to find the total, we do 4 * 12 = 48

48 is how much the 4 friends paid

If 12 friends pay to hire the same group, (resemble for the same price of 48 dollars), is we do, 48 dollars ÷ 12 friends = 4 dollars per friend

(-3, -2) (2, 1) Find the slope

Answers

Answer:

for just the slope its 3/5 or in decimal its .6

Step-by-step explanation:

y's on top x's on bottom

1--2

1+2=3

2--3

2+3=5

so slope is 3/5 or .6

Y2-Y1/x2-x1
Answer 3/5

Please help i am confused

Answers

Answer:

18 +2

Step-by-step explanation:

it's like 3x you just add each side 3 then you will get the answer. and the (+2) stays the same.

R Given:07F = FRY: RFY: LFY

Prove: AFRY:ΔFLY

STATEMENT REASON

YLF =FRY. 23.

RFY=LFY. GIVEN

FY=FY(underlined) 24.

ΔFRY=ΔFLY. 25.​

Answers

S1: ∠YLF ≅ ∠FRY (Given)

S2: ∠RFY ≅ ∠LFY (Given)

S3: FY ≅ FY (Transitive property)

S4: ΔFRY ≅ ΔFLY (AAS theorem)

What is the AAS Congruence Theorem?

The AAS congruence theorem states that if two triangles have two pairs of corresponding congruent angles, and a pair of corresponding non-included side that are congruent, then both triangles area congruent.

To prove that ΔFRY ≅ ΔFLY, the proof that shows they are congruent by the AAS congruence theorem is:

S1: ∠YLF ≅ ∠FRY (Given)

S2: ∠RFY ≅ ∠LFY (Given)

S3: FY ≅ FY (Transitive property)

S4: ΔFRY ≅ ΔFLY (AAS theorem)

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I NEED HELP ASAP!!!!!!!!!!!!!!!

Answers

Answer:

The one on the very top left corner is the right one.

Step-by-step explanation:

It shows the exact data that you were looking for: ten small apples were green and 3 out of the 12 large apples were red.

How much interest is earned on a $5,000 loan at 10% interest for 3 years?

A $125
B $1,500
C $150,000
D $15,000

Answers

Answer: $1500

Step-by-step explanation:

Did the quiz on this hope you have a great day.

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