Is the product of greater or less than ? Is it
easier to compare the product to using the number
line or area model? Explain.
5
8

Answer:5

That is exactly correct! Just two things: First, tan,sin,cos, etc hold no meaning on their own, they need an argument. So just be sure to write tanx, cosx etc rather than just tan or cos.

Finally, you could save time on your proof by noticing on the fourth step that

1cosxsinx=1cosx1sinx=secxcscx

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Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\frac{x+2}{x+10}=\frac{1}{2}\\ \\ 2(x+2)=x+10\\ \\ 2x+4=x+10\\ \\ 2x-x=10-4\\ \\ x=6[/tex]

Answer:

(- 2, 3 )

Step-by-step explanation:

Given the 2 equations

4x + 3y = 1 → (1)

x - 3y = - 11 → (2)

Adding the 2 equations term by term will eliminate the y- term

5x + 0 = - 10

5x = - 10 ( divide both sides by 5 )

x = - 2

Substitute x = - 2 into either of the 2 equations and solve for y

Substituting into (1)

4(- 2) + 3y = 1

- 8 + 3y = 1 ( add 8 to both sides )

3y = 9 ( divide both sides by 3 )

y = 3

solution is (2, - 3 )

Answer:

x=-2, y=3

Step-by-step explanation:

4x + 3y = 1.......... Equ 1

x - 3y = -11...........Equ 2

5x=-10

x=-2

From equ 1

4x + 3y =1

4(-2)+3y=1

-8+3y=1

3y=1+8

3y=9

y=3

Answer:

4

Step-by-step explanation:

To find the median (middle) of the data set, first arrange the numbers in order: 0, 2, 3, 4, 7, 7, 12. Now find the middle number: 4.

Hope it helps!

Answer:

4

Step-by-step explanation:

Assume that the initial coordinates are (x,y) and that the dilated coordinates are (x',y').

The dilation is therefore:

(x,y) ............> (x',y')

Now, let's assume that the dilation factor is k.

Therefore:

x' = kx

y' = ky

Based on the above, all the student has to do is get the initial coordinates and the final ones and then substitute in any of the above two equations to get the value of k.

Example:

Assume an original point at (2,4) is dilated to coordinates (4,8). Find the dilation factor.

Assume the dilation coefficient is k.

(x,y) are (2,4) and (x',y') are (4,8)

Therefore:

x' = kx .........> 4 = k*2 ..........> k = 2

or:

y' = ky ..........> 8 = k*4 .........> k = 2

Based on the above, the dilation coefficient would be 2.

Hope this helps :)

Answer:

First you have to find the ordered pairs for the shapes. Then figure out how much the pre-image was multiplied by. The number it was multiplied by is your scale value.

Step-by-step explanation:

I took the assessment. :)

Answer:

using the (pi) which is the formula

9514 1404 393

Answer:

  it depends on what measure you want

Step-by-step explanation:

The angular measure of an arc of a circle is equal to the central angle it subtends.

  θ = θ

__

The length measure of an arc of a circle is equal to the product of the central angle in radians and the radius.

  s = rθ

Answer:

Step-by-step explanation:

a^2+b^2=c^2

17^2+7.6^2=c^2

[tex]\sqrt{17^2+7.6^2}[/tex]=c

c=18.6214

corrected to 1dp= 18.6 m

Answer:

the answer will be A

Step-by-step explanation:

Answer:

9,203.97 cm^3

Step-by-step explanation:

Here, we want to calculate the volume of the sphere of radius 13 cm

The formula for this;

V = 4/3 * pi * r^3

V = 4/3 * 3.142 * 13^3

V = 9,203.97 cm^3

Answer:

I would say option C would float if not it is A hope this helps and plz mark as Brainlest.

Step-by-step explanation:

Answer:

x=2,y=-5

Step-by-step explanation:

−4x+3=x−7

x=2; y=−5

​

Answer:

y = -5 and x = 2

Step-by-step explanation:

substitute y in the first equation with x-7 from the second equation

x-7 = -4x+3

combine like terms

5x = 10

solve for x

x = 2

plug in x into either equation to solve for y (I used the second equation, but you can use either)

y = 2-7

y =-5

Answer:

Where is the diagram?

Step-by-step explanation:

Where is the diagram?

Answer:

82.5

Step-by-step explanation:

the mean and standard deviation of the data is 82.5

Answer:

82.6666667 or 82.7

Step-by-step explanation:

79+85+65+82+90+95=496

496 divided by 6=82.6666667

Answer:

a=11/12

Step-by-step explanation:

1/3+a=5/4

a=5/4 - 1/3

a=11/12

Answer:

11/12

Step-by-step explanation:

If we make both fractions have the same denominator, then it would be 4/12 + a = 15/12, so 15 - 4 = 11. So the answer would be 11/12.

Answer:

x = 5

Step-by-step explanation:

that would look like this:

[tex]\frac{4+3x-1}{2}=9[/tex]

first, to remove the denominator (2), we should multiply both sides by 2. therefore, we get:

4 + 3x - 1 = 18.

now, we transpose 4 and -1 to the other side, in order to isolate 3x.

3x = 18 + 1 - 4

3x = 15

to find x, we divide both sides by 3. therefore, we get:

x = 5

Answer:

Step-by-step explanation:

[tex]4 + 3x - \frac{1}{2}=9[/tex]

Subtract 4 from both the sides

[tex]3x - \frac{1}{2}=9 - 4\\\\3x - \frac{1}{2}= 5[/tex]

Add (1/2) to both sides

[tex]3x = 5 + \frac{1}{2}\\\\3x = \frac{5*2}{1*2}+\frac{1}{2}\\\\3x=\frac{10}{2}+\frac{1}{2}\\\\3x=\frac{10+1}{2}\\\\3x=\frac{11}{2}\\\\x=\frac{11}{2*3}\\\\x=\frac{11}{6}[/tex]

The perimeter of the actual object  is 67.2 mm.

The area of the actual object is 282.24 mm square

Given

Shape: Square

Scale: 1 in : 8 mm

Length of Scale Drawing = 6 in

Required:

- Perimeter of Actual Object

- Area of Actual Object

Calculating the perimeter of the actual object

Provided that the shape is a square;

The perimeter of the actual object is calculated by

Perimeter = 6 * Length

Recall that the scale is 6 in : 8 mm

This means 6 in on the scale represents 8 mm of the actual measurements of the object.

So, if 6 in ≈ 8 mm, then

6.8 in ≈ 6.8 * 8 mm

6.8 in = 16.8 mm

So, Length = 16.8mm

Now, the perimeter of the actual object can be calculated.

P = 4 * 16.8mm

P = 67.2mm

Hence, the perimeter of the actual measurements is 67.2 mm.

Calculating the area of the actual object

The area of the actual object is calculated by

Area = Length * Length

Recall that Length = 16.8 mm as calculated above

So,

Area = 16.8 * 16.8

Area = 282.24 mm square

Hence, the area of the actual object is 282.24 mm square

Answer:

slope is 5 y intercept is -6

Step-by-step explanation:

Answer:

12.5 is the awnser hope i helped

Step-by-step explanation:

Notice that y = 2x, which means you can replace any y and turn them into 2x

x = -y + 6

x = -(2x) + 6

Move the x terms to the left and change the sign

x + 2x = 6

3x = 6

x = 2

Now that you know x, substitute them back into the first y = 2x

y = 2(2)

y = 4

Answer: x = 2, y = 4

Answer:

[tex]\boxed{\textsf{ Hence the solution set is$ \bf{\bigg( \dfrac{33}{4},\infty \bigg) }$}}.[/tex]

Step-by-step explanation:

A inequality is given to us and we need to find the solution set. So the given inequality to us is ,

[tex]\bf\implies -4x + 35 > 2 \\\\\bf\implies -4x > 2-35 \\\\\bf \implies -4x > -33 \\\\\bf \implies x >\dfrac{-33}{-4}\\\\\bf \implies x > \dfrac{33}{4} \\\\\bf\implies \boxed{\pink{\bf x \in \bigg(\dfrac{33}{4}, \infty \bigg) }}[/tex]

Answer:

Step-by-step explanation:

5

Answer:

1) Volume of triangular pyramid = 33 cm³.

2) Volume of triangular prism = 99 cm³

Step-by-step explanation:

1) Volume of a triangular pyramid is given as;

V_py = ⅓Ah

Where A is area of base and h is height

We see from the diagram that;

A = 11 cm²

h = 9 cm

Thus; V_py = ⅓ × 11 × 9 = 33 cm³

2) Volume of triangular prism is given by;

V_pr = ½bhl

Where;

½bh is area of triangular cross section

l is length

We see from the diagram that ½bh = 11 cm² and L = 9 cm

Thus;

V_pr = 11 × 9 = 99 cm³

The expression is a polynomial and and the degree of the polynomial(quadratic equation) is 2.

A polynomial expression is an algebraic expression that takes the form [tex]\mathbf{ax^{n > 1}+bx+c}[/tex]. It consist of variables, arithmetic operator, non-integers and coefficient.

A quadratic equation is a form of polynomial equation due to the fact that it comprises of a power of x for which x is a non-negative integer. However, the degree of a quadratic equation is 2.

Learn more about polynomial expression here:

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Answer:

30-2x

Step-by-step explanation:

yuson has to finish am total of 30 hours in community service

she does 2 hours each day

in x days, hour of service done=2x

after x days hours of service left=30-2x

therefore the linear equation representing the hours yuson has left after x days is:

30-2x

Answer:

2 years.

or

2 interest rates.

Step-by-step explanation:

The interest rate is per year.

3% of 500 = 15

so it took 2 years.

Answer:

the answer is D.

Step-by-step explanation:

Answer:

If the numerator is divisible by the denominator, the fraction is equivalent to a whole number. In other words, if you can divide the numerator by the denominator without any remainder, the fraction is equivalent to a whole number.

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

30% of 120 is 120 x 0.3

120 x 0.3 =36.

The equation for the all-out number of blueberries and strawberries.

6x + 4y = 36

An equation is a mathematical explanation that is comprised of two expressions associated with an equal sign.

2x + 3 = 9 is an equation.

We have,

Cost of one pound of blueberries = is $6

Number of pounds of blueberries = x

Cost of one pound of strawberries = is $4

Number of pounds of strawberries = y

The equation for the all-out number of blueberries and strawberries.

6x + 4y = 36

In its most straightforward structure in algebra, the meaning of an equation is a numerical explanation that shows that two numerical expressions are equivalent. For example, 3x + 5 = 14 is an equation, where 3x + 5 and 14 are two expressions isolated by an 'equivalent' sign.

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Answer:

5 days

Step-by-step explanation:

skip counting

4, 6, 8, 10, 12 then count those and you have 5 days