Mathematics High School

Find the area of the figures
4 cm
T
4 cm
12 cm
8 cm
The area is
square centimeters

Answers

Answer 1

Answer:

120 [cm²].

Step-by-step explanation:

1) the required area is A=Area(ABCEFD)=Area(ABCD)+Area(CEFD);

2) Area of ABCD: Area(ABCD)=AB*BC=12*8=96 [cm²];

3) Area of CEFD: Area(CEFD)=0.5(CD+EF)*HD=0.5*(8+4)*4=24 [cm²];

4) finally, the required area is: A=96+24=120 [cm²].

all the details are provided in the attachment.

Related Questions

Based on the Rational Zero Test, which of the following is
NOT a possible zero of f(x) given below after the reciprocal
of LCD is factored out?

f(x)=x^3 -5x + (2/5)

(A) 1/2
(B) 1/5
(C) 1
(D) -1

Answers

The rational zero test is also known as the rational root test, and it is used to determine the potential root of a function.

(a) 1/2 is not a possible zero of the function

The function is given as:

[tex]f(x) =x^3 - 5x + \frac 25[/tex]

For a function,

[tex]f(x) = px^n +......q[/tex]

The list of possible roots is:

[tex]Roots = \pm\frac{Factors\ of\ q}{Factors\ of\ p}[/tex]

Multiply both sides of [tex]f(x) =x^3 - 5x + \frac 25[/tex] by 5

[tex]5f(x) = 5x^3 - 25x + 2[/tex]

So, we have:

[tex]p= 5[/tex]

[tex]q = 2[/tex]

The factors are:

[tex]p =\pm 1, \pm 5[/tex]

[tex]q =\pm 1, \pm 2[/tex]

So, the possible roots are:

[tex]Roots = \pm\frac{1,2}{1,5}[/tex]

Split

[tex]Roots = \pm1, \pm \frac 15, \pm 2, \pm \frac 25}[/tex]

Hence, 1/2 is not a possible zero of the function

Read more about rational zero test at:

https://brainly.com/question/12860313

X - 5V + 17 = 0 2x+ V + 1 = 0

Answers

Answer:

x= -[tex]\frac{10}{3}[/tex], v = [tex]\frac{7}{3}[/tex]

Step-by-step explanation:

x= - 10/3, v = 7/3

jus so u want to copy so u don't have to type ur self

Sonja has a bank account balance of $1400. Each week, her balance changes by-$85.25. She wants to keep the balance above $377. How many weeks will Sonja's balance remain above $377? Select from the drop-down menu to correctly complete the statement. Sonja's balance will remain above $377 Choose... v weeks.

Answers

Answer:

12 Weeks

Step-by-step explanation:

$1400 - $377 = $1023

1023 / 85.25 = 12 Weeks

Answer:

Its will take Sonja 12 weeks

Step-by-step explanation:

solve similar triangles (advanced)

Answers

Answer:

12 =x

Step-by-step explanation:

We can use proportions to solve

6 x

---- = -------

10 10+10

Using cross products

6 ( 10+10) = x*10

6*20 = 10x

120 = 10x

Divide by 10

120/10 = x

12 =x

Answer:

x = 12

Step-by-step explanation:

ABC ~ ADE

AB/AD = BC/DE

10/20 = 6/x

x = 20 x 6 ÷ 10

x = 12

The relationship between y and x is 9/3 which table represents this relationship and why?

Answers

Answer:

First one

Step-by-step explanation:

For every 1 in x the y goes up by 3

One smartphone plan costs $52 per month for talk and messaging and $8 per gigabyte of data used each month. A second smartphone plan costs $82 per month for talk and messaging and $3 per gigabyte of data used each month. Let c represent the total cost in dollars and d represent the amount of data used in gigabytes.

The system of equations
c=52+8d
c−3d=82

can be used to represent this situation.
How many gigabytes would have to be used for the plans to cost the same? What would that cost be?

Answers

Answer:

Both plans would cost $100 if 6 gigabytes of data are used.

Explanation:

From the question, the system of equation are correctly represented by using small letter c to represent the total cost in dollars for both equations as already assumed in the question as follows:

c = 52 + 8d ........................... (1)

c = 82 + 3d ........................... (2)

Since c is common to both, equations (1) and (2) can therefore be equated and d solved for as follows:

52 + 8d = 82 + 3d

8d - 3d = 82 - 52

5d = 30

d = 30 / 5

d = 6

Substituting d = 6 into equation (1), we have:

c = 52 + (8 * 6)

c = 52 + 48

c = 100

Since d = 6 and c = 100, it therefore implies that both plans would cost $100 if 6 gigabytes of data are used.

In this diagram shown,
PQRS is a rectangle

Answers

Ok that’s ok got re

Answer:

In the figure, PQRS is a rectangle. If the shaded area is 72 sq. cm,...In the figure, PQRS is a rectangle. If the shaded area is 72 sq. cm, find h

EXPLANATION

From the diagram, PQRS is a rectangle

Area of shaded part = 72sq.cm

But 72 = 3h - 4 + 6h - 4 + 4h

= 72 - 16h - 8

= 16h - 72 + 8

=16h = 80

h = 80/16

= 5cm

Can someone answer number 9 for and tell me if the others are correct i have a 64% in geometry trying to raise grade up to alteast 70%

Answers

Answer:

5, 6, 7, 8: correct

9: the Hi.nge theorem does not apply

Step-by-step explanation:

The Hi.nge theorem says that the side opposite the angle between two pairs of congruent sides is longer if the angle is larger. This theorem is applicable to problems 5-8, and your application is correct.

9) The Hi.nge theorem does not apply. The marked angles are not between the congruent sides. There is no necessary relation between the marked angles and the angles that are between the congruent sides, so no conclusion can be drawn regarding the relative lengths of AB and CD.

i really need your help on this

Answers

Answer:

That is an improper fraction

Step-by-step explanation:

When the numerator (the top) is greater than the denominator (The bottom) then the fraction is improper

Hope this helps!

Answer:

Improper fraction

Step-by-step explanation:

Which inequality represents this statement?

A number is no more than 5.

n<5

n≥5

n>5

n≤5

Answers

Answer: the last one!! [tex]n\leq 5[/tex]

Step-by-step explanation:

When there is a line under it means no more than!

help me answer please

Answers

Answer:

Sorry

Step-by-step explanation:

I need help with this question

Answers

Answer:

2√14m

Step-by-step explanation:

Hypothenus = 9m

Second side = x

third side = 5m

Using Pythagoras theorem

9² = x² + 5²

81 = x² + 25

x² = 81 - 25

x² = 56

x = √56

= √4 × √ 14

= 2√14m

WILL GIVE YOU 50 POINT
Find M AFE.

Answers

Answer:

The answer is C

Step-by-step explanation:

25 + 57 + 34 = 116, so at least 116, not 116.

The angle is close to 90+45 = 135

assuming with this, the asnwer is C

Answer:

B. 173

Step-by-step explanation:

just add them all up! for DFE, BFC has the same sign, which i assume means it is the same thing

Select all the functions whose output is 4 when the input is 16.
A.
y = 2x
B. y=x?
2
= x
C.
y = x + 12
D.
y = x - 12
E. y = 1
x

Answers

Answer:

Please check your post. I did the best I could.

Step-by-step explanation:

A. y = 2x 4 = 2*(16)? Nope

B. y=x? I don't understand the equation: y = x? 2 = x?????

C. y = x + 12 4 = 16 + 12? Nope

D. y = x - 12 Same???

E. y = 1 x 4 = 16? Nope

given a isotope with a 3 charge, a mass number of 28, and an atomic number of 13, what are:

Answers

Answer: The element described is aluminum.

у — 3x 4
у > 4х +1

Anyone know the answe on how to solve this???

Answers

Answer:

Unbounded, infinite number of solutions

Step-by-step explanation:

1. Graph each inequality separately

2. Choose test point to determine which side of line needs to be shaded

3. The solution will be the the area where the shadings from both inequalities overlap

Since, the overlap almost covers the 2nd and 3rd quadrants there are an infintite number of solutions

Two squares are congruent if and only if:
A. any two corresponding angles are
congruent
B. two pairs of corresponding angles are
congruent
C. all four pairs of corresponding angles are
congruent
D. a side of one is congruent to a side of the
other

Answers

D) a side of one is congruent to side of the other

Coz in the question it specified that both the shapes are square so obviously all angles are equal (90°)

Now we only need one side of it congruent .

Let $F,$ $G,$ and $H$ be collinear points on the Cartesian plane such that $\frac{FG}{GH} = 1.$ If $F = (a, b)$ and $H = (7a, c)$, then what is the $x$-coordinate of $G$?

Answers

F, G, and H all lie on the same line. If FG/GH = 1, then FG = GH, which is to say the distance between F and G is equal to the distance between G and H. This means either F and H are the same point, or G is the midpoint of F and H.

They're not the same point, because the x-coordinate of H is 7 times that of F. So G must be halfway between F and H.

Then the x-coordinate of G is

(a + 7a)/2 = 8a/2 = 4a

Help please
Simplify the difference quotient (f(x + h) − f(x) )/h if h ≠ 0.
f(x) = x2 + 38

Answers

Answer:

2x + h

Step-by-step explanation:

[tex]\frac{f(x+h)-f(x)}{h}[/tex]

= [tex]\frac{(x+h)^2+38-(x^2+38)}{h}[/tex]

= [tex]\frac{x^2+2hx+h^2+38-x^2-38}{h}[/tex]

= [tex]\frac{2hx+h^2}{h}[/tex]

= [tex]\frac{h(2x+h)}{h}[/tex] ← cancel h on numerator/ denominator

= 2x + h

Cube root -125 over 216

Answers

The answer is 0.023.
Hope this helps

5+2x=2x+6

do anyone know the answer

Answers

Answer:

no solutions

Step-by-step explanation:

5+2x = 2x+6

Subtract 2x from each side

5+2x-2x = 2x+6-2x

5 = 6

This is not a true statement so there are no solutions

Leo solved the equation b = 12 a−1−−−−−√3 for a, but made an error. His work is shown. Complete the sentences that follow.

Answers

The value of a in terms of b is given as [tex]a = 8b^3[/tex]

Given the equation solved by Leo expressed as [tex]b=\frac{1}{2}\sqrt[3]{a-1}[/tex]

We are to solve the equation for the variable "a"

Given;

[tex]b=\frac{1}{2}\sqrt[3]{a-1}[/tex]

Cross multiply

[tex]2b=\sqrt[3]{a-1}[/tex]

Cube both sides of the equation:

[tex](2b)^3=(\sqrt[3]{a-1})^3 \\8b^3=a-1[/tex]

Add 1 to both sides of the equation:

[tex]8b^3+1=a-1+1\\8b^3=a\\Swap\\a=8b^3[/tex]

Hence the value of a in terms of b is given as [tex]a = 8b^3[/tex]

Learn more on subject of formula here: https://brainly.com/question/657646

Write
48
:
132
:
84
in its simplest form.

Answers

Answer:

4:11:7

Step-by-step explanation:

Find the GCF, or greatest common factor of the 3 numbers. In this case it is 12. To simplify, divide each number by 12

Answer:

4:11:7

Step-by-step explanation:

please mark me as brainlest

9. Determine whether the parallelogram is a rectangle, square, or rhombus. G(-4,3), D(2,1) F(-5, 0) and E(1, -2)

Answers

Answer:

rectangle

Step-by-step explanation:

Answer:

Rectangle

Step-by-step explanation:

FG's slope is the opposite reciprocal of GD's, so they are perpendicular. The same with the other sides.

The opposite sides have the same length.

II. Solve the problems involving variations. Show your complete solution. (3 points each) 1. If y varies directly as the square of x, and y = 32 when x = 2, find y when x = 5. 2. The force of attraction (F) between two opposite electrical charges varies inversely as the square of the distance (d) between them. If F = 18 when d = 10, find F when d = 15. 3. If y varies jointly as x and z, find y if x = 3, k = 6 and z = 9

Answers

Answer:

see explanation

Step-by-step explanation:

(1)

y varies directly as x² then the equation relating them is

y = kx² ← k is the constant of variation

To find k use the condition y = 32 when x = 2

32 = k × 2² = 4k ( divide both sides by 4 )

8 = k

y = 8x² ← equation of variation

When x = 5 , then

y = 8 × 5² = 8 × 25 = 200

(2)

Given F varies inversely as d² then the equation relating them is

F = [tex]\frac{k}{d^2}[/tex] ← k is the constant of variation

To find k use the condition F = 18 when d = 10

18 = [tex]\frac{k}{10^2}[/tex] = [tex]\frac{k}{100}[/tex] ( multiply both sides by 100 )

1800 = k

F = [tex]\frac{1800}{d^2}[/tex] ← equation of variation

When d = 15 , then

F = [tex]\frac{1800}{15^2}[/tex] = [tex]\frac{1800}{225}[/tex] = 8

(3)

y varies jointly as x and z then the equation relating them is

y = kxz ← k is the constant of variation

when x = 3, y = 6, z = 9 ,then

y = 6 × 3 × 9 = 162

Given the figure below, which statement correctly completes the following? ABE and HCD are what type of angles

Answers

Angles are classified based on their measures.

Classification of angles

The following are the classification of angles

Acute AnglesRight AnglesObtuse AnglesStraight linesReflex Angles

The smallest angle is 0 degrees and the largest is 360 degrees.

When the measure of an angle is less than 90 degrees, such angle is an acute angle

When the measure of an angle is exactly 90 degrees, such angle is a right angle

Angles greater than 90 degrees, but less than 180 degree are obtuse angles, while angles that measure exactly 180 degrees are straight lines.

The last type of angle is the reflex angle, and it has a measure between 180 degrees and 360 degrees (exclusive)

The question is incomplete, so I gave a general explanation

Answers

[tex]\huge\boxed{Good\:evening!:)}[/tex]

2(2c+12)=68

4c+24=68

4c=68-24

4c=44

Divide both sides by 4:

c=11

[tex]\huge\boxed{Hence,\:the\:answer\:is\:11.:)}[/tex]

[tex]\huge\underline{Hope\:it\:helps!}[/tex]

[tex]\huge\sf{Good\:luck.}[/tex]

[tex]\boxed{DreamyTeenager\:here\:to\:help}[/tex]

Find 34−13.95 . Express your answer in decimal form.

Answers

Answer:

34-13.95 = 20.05

Step-by-step explanation:

Answer:

20.05

Step-by-step explanation:

34 - 13.95 = 20.05

Am I right? Should I've to add more info?(only about Rectangle and Square)

Answers

Answer:

Yh its right.

Step-by-step explanation:

Have a great day!

Answer:

yeah it is correct

Step-by-step explanation:

and well hruu

What is an
equation of the line that passes through the point (-8, -1) and is
parallel to the line x– 4y = 4?

Answers

Answer:

y=1/4x + 1

Step-by-step explanation:

first equation,,y=1/4x - 1

G1 = G2

G2 = 1/4

y+1 /x+8 =1/4

4y = X + 8 -4

4y =x + 4

y = 1/4x + 1

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Find the area of the figures 4 cm T 4 cm 12 cm 8 cm The area is square centimeters

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Find the area of the figures
4 cm
T
4 cm
12 cm
8 cm
The area is
square centimeters