in trapezium abcd diagonals ac and bd intersect at o ar(COD) = 24cm² ar( AOB) = 96 cm² find the area of trapezium​

Answer:

True

Step-by-step explanation:

A system of equations can be solved by Translating the system of equations into a matrix by following theses steps

write out the resulting answer in form of equations.

Answer:

F. -16

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle g(x) = -\frac{x^2}{4}[/tex]

Step 2: Evaluate

Answer:

1/2

Step-by-step explanation:

These two triangles are similar, so there is a scale factor. The heights and the bottom sides of each triangle are similar, figure A has a bottom length of 6, and figure B has a bottom length of 3. To get from A to B, you multiply by 1/2. So the scale factor is 1/2.

Answer:

2,457

Step-by-step explanation:

The thousands place is when you move four spaces to the left starting from the first number. In this case, that number was seven, and to round, you need to round it up or down depending if the number to the left of the 4th number is greater or less than 5. In this case, that number was 3, so that 3 and the rest of the remaining numbers turn into 0's, making the rounded number 2,457.

I hope this information was of any use to you.

Answer:

2,457,000

Hope that this helps!

Answer:

Combine like terms

Step-by-step explanation:

3x + 6 = 10 + 3x + 4x

Combine like terms

3x + 6 = 10 + 7x

Subtract 3x from each side

3x-3x + 6 = 10 + 7x -3x

6 = 10 +4x

Subtract 10 from each side

6-10 = 10+4x-10

-4 = 4x

Divide by 4

-4/4 = 4x/4

-1 =x

Answer:

3x + 6 = 10 + 7x

is the first step to solving this equation

Answer:

Y=7

Step-by-step explanation:

the 7 is the y value. the y value is = 7 when x =2

Answer:

1/2

D

Step-by-step explanation:

slope = [tex]\frac{rise}{run}[/tex] = [tex]\frac{2}{4}[/tex] = [tex]\frac{1}{2}[/tex]

[tex]\frac{2}{4}[/tex] = [tex]\frac{3}{6}[/tex]  Same ratio. Both reduce to [tex]\frac{1}{2}[/tex]

Answer:

it is 12

Step-by-step explanation:

for n= 36 divided by 3.

Answer with Step-by-step explanation:

We are given that

[tex]g(x)=(x^2-3x-10)(x^2+2x^2-5x+4)[/tex]

x=-1

Using property of limit

[tex]\lim_{x\rightarrow -1}g(x)=\lim_{x\rightarrow -1}(x^2-3x-10)(3x^2-5x+4)[/tex]

=[tex](1+3-10)(3+5+4)[/tex]

=[tex](-6)(12)[/tex]

=[tex]-72[/tex]

[tex]g(-1)=(1+3-10)(1+2+5+4)[/tex]

[tex]g(-1)=(-6)(12)=-72[/tex]

[tex]\lim_{x\rightarrow -1}g(x)=g(-1)[/tex]

Hence, the function is continuous at x=-1

Answer:

16π

Step-by-step explanation:

The circle touches the X-axis and center at (3,4), the coordinate is representing as (x, y), so the radio will be r = y (circle touches the X-axis), and the formula of circle area is π * r^2, so:

π * 4^2 is equal to 16π

Answer:

Find the answers below

Step-by-step explanation:

Using m<X as the reference angle

Opposite YZ = 7

Adjacent  XY = 10

Hypotenuse XZ = √149

Using the SOH CAH TOA identity

sinX = opp/hyp

sinX =YZ/XZ

sinX = 7/√149

For cos X

cos X = adj/hyp

cos X =10/√149

Using m<Z as reference angle;

Opposite XY = 10

Adjacent  YZ = 7

Hypotenuse XZ = √149

Using the SOH CAH TOA identity

sinZ = opp/hyp

sinZ =10/√149

sinZ = 7/√149

For cos Z

cosZ = 7/√149

Answer:

(-2 , 2)

Step-by-step explanation:

A(-8 , 2) = (x1 , y1)

B(4 , -2) = (x2 , y2)

midpoint = (x1 + x2/2  ,   y1 + y2/2)

=(-8 + 4/2  ,  2-(-2)/2)

=(-4/2  ,  2+2/2)

(-2  ,  2)

(3 , 7) = (x1 , y1)

(9 , 2) = (x2 , y2)

distance of PQ = [tex]\sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex]

=[tex]\sqrt{(9 - 3)^2 + (2 - 7)^2}[/tex]

=[tex]\sqrt{(6)^2 + (-5)^2}[/tex]

=[tex]\sqrt{36 + 25}[/tex]

=[tex]\sqrt{61}[/tex]

=7.8 unit

Answer:

Height = 6000 m

Step-by-step explanation:

[tex]Volume = length \times breadth \times height \\\\480000 = 10 \times 8 \times height\\\\480000 = 80 \times height\\\\height = \frac{480000}{80} = 6000 \ m[/tex]

Answer:

[tex]P(G)=0.475[/tex]

Step-by-step explanation:

From the question we are told that:

Number of boys[tex]N_b=357[/tex]

Number of girls [tex]N_g=323[/tex]

Total Number of students

[tex]N_t=N_b+N_g[/tex]

[tex]N_t=680[/tex]

Generally the equation for Probability of Choosing a Girl is mathematically given by

[tex]P(G)=\frac{N_g}{N_t}[/tex]

[tex]P(G)=\frac{323}{680}[/tex]

[tex]P(G)=0.475[/tex]

Answer:

300

Step-by-step explanation:

to find volume u will have to multiply the length x width x breadth which is 5x5x12=300

Answer:

B

Step-by-step explanation:

An experiment is a study carried out in a controlled environment where the person undertaking the research hopes to understand cause and effect between the independent and dependent variables. An example of a experiment is the palovian experiment

The independent variable is the variable that the person carrying out an experiment changes or manipulates. the independent variable usually have a direct effect on the dependent variable

The dependent variable is the variable that is being measured in an experiment. It is usually affected by the independent variable

Observational study is the study where the researcher observes and measures cause and effect between independent and dependent variables without trying  to control or influence the population

Answer:

Equation : x + 40° + 91° + 53° = 180°

All angles in a triangle add up to 180°

The value of x is -4.

Now,

x + 40 + 91° + 53° = 180° ( ▼ Sum of three

angle of triangle is 180°)

x + 184 = 180

x = 180 - 184

▲ x = - 4

This is a Right answer....

Mark me as brainliest...

I hope you understand...

Answer:

Step-by-step explanation:

1)

9:10

+ 0:45

9:55      

so at 9:55 she finished her eating.

2)

  10:25

- 2:15

8:10

so test started at 8:10

3)

9:15

-7:30

2:15    

si games duration was 2;15

4)

2:40

+25

3:05

 se reached home at 3:05

Answer:

The relationship is not linear.

Hope this answer is right!!

perimeter = length plus

breadth

8cm +7cm + 5cm

= 20

Answer:

5/7 is the answer to your question

Answer:

8

Step-by-step explanation:

count the number of solid-black lines.

Answer:

[tex]\theta = 79.9^{\circ}[/tex]

Step-by-step explanation:

Given hypotenuse = x , opposite = 1.7 , adjacent = 0.3

Using trigonometric ratios :

[tex]sin \theta = \frac{opposite}{hypotenuse}\\\\cos \theta = \frac{adjacent}{hypotenuse}\\\\tan \theta = \frac{opposite}{adjacent}[/tex]

[tex]tan \theta = \frac{1.7}{0.3} = \frac{17}{3} = 79.9^{\circ}[/tex]

Answer:

b.

[tex]V = \pi \cdot \int\limits^a_b {\left([f(x)]^2 - [g(x)]^2} \right) \, dx[/tex]

(c)

[tex]V = \pi \cdot \int\limits^3_1 {\left([arcos(y - 2)]^2 - [arcsine(x)]^2 - (-1)^2} \right) \, dx[/tex]

Step-by-step explanation:

b. The volume of solid formed is given by the washers formula as follows;

[tex]V = \pi \cdot \int\limits^a_b {\left([f(x)]^2 - [g(x)]^2} \right) \, dx[/tex]

Therefore, we have, the integral expression whose solution is the volume formed by rotating 'R', about the equations y = 2 + cos(x) and y = csc(x) in the first quadrant on the interval, 0 ≤ x ≤ π, V is given as follows;

[tex]V = \pi \cdot \int\limits^\pi_0 {\left([2 + cox(x)]^2 - [csc(x)]^2} \right) \, dx[/tex]

(c)  We have;

x = arcos(y - 2), x = arcsin(1/y)

At x = 0, y = 2 + cos(0) = 3

csc(0) = ∞

At x = π, y = 2 + cos(π) = 2 + -1 = 1

csc(π) = ∞

Therefore, we get;

[tex]V = \pi \cdot \int\limits^3_1 {\left([arcos(y - 2)]^2 - [arcsine(x)]^2 - (-1)^2} \right) \, dx[/tex]

B) An equation that involves integral expressions whose solution is the volume of the solid generated when R is revolved around the x-axis is;

[tex]V = \pi \int\limits^\pi _0 ({[2 + cos(x)]^{2} - [csc(x)]^{2}}) \, dx[/tex]

C) An equation involving integral expressions whose solution is the volume of the solid generated when R is revolved around the line x= -1 is;

[tex]V = \pi \int\limits^\pi _0 ({[cos^{-1} (y - 2)]^{2} - [sin^{-1}(x)]^{2} - (-1)^{2} }) \, dx[/tex]

B) The volume of solid formed is gotten from applying the washers formula;

[tex]V = \pi \int\limits^a_b ({[f(x)]^{2} - [g(x)]^{2}}) \, dx[/tex]

This means that the integral expression whose solution is the volume formed by rotating R about the equations y = 2 + cos(x) and y = csc(x) in the first quadrant on the interval, 0 ≤ x ≤ π, V is expressed as;

[tex]V = \pi \int\limits^\pi _0 ({[2 + cos(x)]^{2} - [csc(x)]^{2}}) \, dx[/tex]

C) From answer above, we have;

x = cos⁻¹(y - 2), x = sin⁻¹(1/y)

Now,

At x = 0; y = 2 + cos(0) = 3

csc(0) = 1/0 = ∞

Also,

At x = π; y = 2 + cos(π)

y = 2 + (-1)

y = 1

Also, csc(π) = ∞

Thus, we have;

[tex]V = \pi \int\limits^\pi _0 ({[cos^{-1} (y - 2)]^{2} - [sin^{-1}(x)]^{2} - (-1)^{2} }) \, dx[/tex]

Read more about finding the integral volume of solid at; https://brainly.com/question/21036176

Answer:

5 loaves

Step-by-step explanation:

13 1/3 divided by 2 2/3 is 5 so the answer is 5 loaves.

Rewrite the fractions as improper fractions then divide the total amount used by the amount per loaf:

13 1/3 = 40/3

2 2/3 = 8/3

40/3 / 8/3

When dividing by a fraction flip the fraction over and multiply

40/3 x 3/8 = (40 x3) /( 3 x 8) = 120/24 = 5

She made 5 loaves of bread.

Answer:

A. i think

Step-by-step explanation:

Answer:

4, -16, 64, -256

the common ratio is -4

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

a^2 +b

Let a = -2 and b = 5

(-2)^2 +5

Exponents first

4 +5

Then add

9

Answer:

9

Step-by-step explanation:

Here, we have to observe that a^2 = a×a =-2 × -2 = 4

hence, a^2 + b = 4 + 5 = 9.

Answer:

19,000

Step-by-step explanation:

because for 1 year its 19,000 just for that year so it would be 19,000

Answer:

10, and -8.

Step-by-step explanation:

So we know a = -4

We also know that b = 2

Lets plug in a = -4 and b = 2 into b-2a:

2-2(-4)

=

2--8

A minus and minus make a plus, so:

2+8 = 10

So the answer is 10.

Next lets plug in a = -4 and b = 2 into [tex](a+b)^3[/tex]:

[tex](-4+2)^3[/tex]

=

[tex](-2)^3[/tex]

=

-8

So the second answer is -8.

Hope this helps!

Answer:

a= 2-2(-4)= 10

b= -4^3+2^3+3(-4)(2) (-4 - 2)= 8