What is the product of the binomials below?
(5x + 2)(4x +4)

Answer:

a) Area of the base of the pyramid = [tex]15.6\ mm^{2}[/tex]

b) Area of one lateral face = [tex]24\ mm^{2}[/tex]

c) Lateral Surface Area = [tex]72\ mm^{2}[/tex]

d) Total Surface Area = [tex]87.6\ mm^{2}[/tex]

Step-by-step explanation:

We are given the following dimensions of the triangular pyramid:

Side of triangular base = 6mm

Height of triangular base = 5.2mm

Base of lateral face (triangular) = 6mm

Height of lateral face (triangular) = 8mm

a) To find Area of base of pyramid:

We know that it is a triangular pyramid and the base is a equilateral triangle. [tex]\text{Area of triangle = } \dfrac{1}{2} \times \text{Base} \times \text{Height} ..... (1)\\[/tex]

[tex]{\Rightarrow \text{Area of pyramid's base = }\dfrac{1}{2} \times 6 \times 5.2\\\Rightarrow 15.6\ mm^{2}[/tex]

b) To find area of one lateral surface:

Base = 6mm

Height = 8mm

Using equation (1) to find the area:

[tex]\Rightarrow \dfrac{1}{2} \times 8 \times 6\\\Rightarrow 24\ mm^{2}[/tex]

c) To find the lateral surface area:

We know that there are 3 lateral surfaces with equal height and equal base.

Hence, their areas will also be same. So,

[tex]\text{Lateral Surface Area = }3 \times \text{ Area of one lateral surface}\\\Rightarrow 3 \times 24 = 72 mm^{2}[/tex]

d) To find total surface area:

Total Surface area of the given triangular pyramid will be equal to Lateral Surface Area + Area of base

[tex]\Rightarrow 72 + 15.6 \\\Rightarrow 87.6\ mm^{2}[/tex]

Hence,

a) Area of the base of the pyramid = [tex]15.6\ mm^{2}[/tex]

b) Area of one lateral face = [tex]24\ mm^{2}[/tex]

c) Lateral Surface Area = [tex]72\ mm^{2}[/tex]

d) Total Surface Area = [tex]87.6\ mm^{2}[/tex]

Answer:

Sample answer A triangular pyramid with an equilateral triangle for a base has four faces the equilateral triangular base and

three congruent isosceles triangular faces

Step-by-step explanation:

Answer:

48 degrees

Step-by-step explanation:

A triangles degrees all add up to 180

so

180-90= 90 (90 is a square corner)

90-42= 48 (42 is the other known degree)

Answer:

   = 147.1369 pi

Step-by-step explanation:

The diameter is 24.26

The radius is d/2 = 24.26/2 =12.13

The area of a circle is

A = pi r^2

   = pi (12.13)^2

   = 147.1369 pi

Answer:

147.1369

Step-by-step explanation:

i think im wrong not sure. also the answer is not rounded.

Answer:

A

Step-by-step explanation:

x² - 4x - 5 = 0

x² - 5x + x - 5 = 0

x(x - 5) + (x -5) = 0

(x - 5)(x + 1) = 0

x - 5 = 0   ; x + 1 = 0

x = 5      ; x = -1

Answer: The right angle is at angle C

Step-by-step explanation:

Yes, the angle is a right angle at C (Edge option D)

Answer:

C

Step-by-step explanation:

Let's say Abudal's score = x.

We can do,

3x + x + x + 5 = 45

5x = 45

x = 8.

That means Abdul's scored 8 points, meaning Kendall scored 24,(8*3), and that Otis scored 13, since 8 + 5 = 13.

Answer:

Step-by-step explanation:

Hank paid $2,000 upfront when he bought his car, and he pays $200 each month.

This relationship is:  

This is not proportional.

Lynn did not pay any money upfront when she bought her car, and she pays $275 each month.

This relationship is:  

This is proportional.

So the answer is:

Answer:

Step-by-step explanation:

1X+17=121X+17=12

1X=12−171X=12−17

1X=72×7−27×21X=72×7−27×2

1X=7−2141X=7−214

1X=5141X=514

Taking inverse on both sides

X=145=2.8 hoursX=145=2.8 hours

The time taken by Sam is 2.8 hours.2.8 hours.

Answer:

$44

Step-by-step explanation:

Answer:

44

Step-by-step explanation:

Answer:

......

Step-by-step explanation:

b)4kg:1600g

convert 4kg to grams

4000g:1600g

then divide

=5g:2g

then convert 5g into kg

=0.005kg:2g

f)5 days:5 weeks

multiply 5weeks by 7 u will get 35

5days :35dys then divide by 5

1:7days

=1 day:1 week

h)40 sec:1 min

40 sec:60 sec

then divide both of them by 2

2 sec:3 sec

then take 3 ÷60=0.05 min

=2 sec:0.05 min

Answer:

G ≈ 1.46

Step-by-step explanation:

Given

G = [tex]\frac{R+ab}{at}[/tex] , substitute values

G = [tex]\frac{257 4.88(37.4)}{4.88(61.5)}[/tex]

   = [tex]\frac{257+182.512}{300.12}[/tex]

   = [tex]\frac{439.512}{300.12}[/tex] ≈ 1.46 ( to 2 dec. places )

Answer:

The two circles centered at point A are concentric and similar

Step-by-step explanation:

plato

Answer:

To find y intercept x should be 0.

And in this.

Y=4x.3x

Y=4*0*3*0

Y=0 answer.

Answer: 4

Step-by-step explanation:

Using pythagoras theorem =>

b=[tex]\sqrt{c^2-a^2[/tex]

b=[tex]\sqrt{5^2-3^2}[/tex]

b=[tex]\sqrt{25-9}[/tex]

b=[tex]\sqrt{16}[/tex]

b=4

Answer:

4

Step-by-step explanation:

Use the Pythagorean Theorem:

[tex]a^2+b^2=c^2[/tex]

The measure of the hypotenuse is 5. The measure of the given leg is 3.

[tex]3^2+b^2=5^2\\\rightarrow 3^2 = 9; 5^2=25\\9+b^2=25\\9-9+b^2=25-9 \leftarrow \text {Subtraction Property of Equality} \\b^2=16\\\sqrt{b^2}=\sqrt{16} \leftarrow \text {Square Root Property of Equality}\\\boxed {b=4}[/tex]

The unknown side of the triangle should be four units.

Answer:

52.374 cm*3

Step-by-step explanation:

the upper triangle is equal to the bottom triangle

Btw fyi the formula of calculating the value of a prism is:

area of the base × height

Answer:

Q matches to a and P matches to b

Step-by-step explanation:

This is a volume question so we can use the volume of a cylinder to see which one corresponds to what.  Volume of a cylinder is [tex]\pi[/tex][tex]r^{2}[/tex]h.  We know that the heights of the cylinders are the same since the diagram says so.  We also know pi is the same since thats a constant.  The only thing thats different is the radius (as you can see radius of P is bigger than Q).  If the radius of P is bigger than Q and all the other things are the same (height is the same and pi is the same), then that automatically means that P has more volume than Q.  More volume means more time to fill up.  Since Q has less volume, it will take less time to fill up.  So now we look at the graph.  A shows that the height of water increases at a faster rate than that of B.  This is because there is less volume in that container (less volume=less time to fill up).  Therefore a matches to Q and therefore b matches to P

Answer:

(0,12)

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

answer: B

Step-by-step explanation:

Answer:

The third one

Step-by-step explanation:

Its because we need to find the number that it has grown.

so we add the number that it grew to the size it was before.

Answer: 1.85 + x = 5.30

Step-by-step explanation: If we know that Ethan planted a tree that was 1.85 meters tall from the start and several years later it's 5.30 meters tall, we know that something must have been added to the 1.85 in order to get 5.30 meters tall. Since we don't know what that value is, we can use x.

X is an example of a variable. A variable is just a letter that represents any number so in this case, it represents how much the tree has grown over a time period of several years.

So we can write this as 1.85 + x = 1.30.

Answer:

Step-by-step explanation:

There are a couple of factored forms that are used here:

  (a +b)² = a² +2ab +b² . . . . the sign of "2ab" will match the sign of b

  a² -b² = (a -b)(a +b)

__

Part A:

 Since this trinomial is known to be a perfect square, you can find the binomial(s) by looking at the roots of the first and last terms.

  √(4a²) = 2a

  √25 = 5

The factoring is ...

  4a² -20a +25 = (2a -5)²

__

Part B:

This is the difference of perfect squares, so the terms of the factors can be found as in the previous part.

  √(9a²) = 3a

  √(16b²) = 4b

Using the above factored form, we have ...

  9a² -16b² = (3a -4b)(3a +4b)

Answer:

the smaller angle = 4x = 4*15 = 60 degrees

Step-by-step explanation:

Answer:

62.5%

Step-by-step explanation:

Total money with Jackson = $8

Money spent for buying collectible  = $5

__________________________________________________

Percentage of any number A with respect to another number B is calculated by multiplying fraction A/B with 100

Numerically A as percentage of b will be expressed as (A/B)100 %

It means that if there are 100 items instead of B item then what will be the value of A.

______________________________________________________

Percentage of money spent = (Money spent for buying collectible /Total money with Jackson)

Substituting the total money and money spent for buying collectible

we have

Percentage of money spent  = 5/8 * 100 = 0.625*100 = 62.5%

Thus, 62.5% percent of his money will Jackson spend on the purchase of collectible.

Answer:

What is the value of the discriminant of f?

0

How many x-intercepts does the graph of f?

1

Step-by-step explanation:

I promise you i just got this question and this is the answer

The discriminant of f is 0.

The function f has one intercept.

In the given quadratic function f(x) = 25x² - 10x + 1, the coefficients are:

a = 25

b = -10

c = 1

Now, let's calculate the discriminant:

Discriminant = b² - 4ac

            = (-10)² - 4 x 25 x 1

            = 100 - 100

            = 0

The value of the discriminant of f is 0.

If the discriminant is positive (greater than 0), the quadratic equation has two distinct real roots, which means the graph intersects the x-axis at two different points.

If the discriminant is zero, the quadratic equation has one real root, and the graph touches the x-axis at one point (or has a double root).

If the discriminant is negative, the quadratic equation has no real roots, and the graph does not intersect the x-axis.

In this case, since the discriminant is 0, the graph of f has one x-intercept (or one real root).

Learn more about Discriminant here:

https://brainly.com/question/33365847

#SPJ2

Answer:

mmm 30

Step-by-step explanation:

Answer:

48÷3=16

Step-by-step explanation:

In the expression, 96 divided by 8 = a , the quotient a =12

. Divide 12 lizards into 6 equal groups. How many lizards are in each group?

There are2

lizards in each group.

Answer:

1.    16

2.   6

3.    2

Step-by-step explanation:

Answer:

56

Step-by-step explanation:

7 is a prime number

7*8 = 56

The least common denominator is 56

3/7 * 8/8 = 24/56

5/8*7/7 = 35/56

Answer:840  

Step-by-step explanation:

Answer:

5/32

Step-by-step explanation:

You would change 1/2 to 2/4 so you can subract 1/2 from 3/4 .You do 3/4-2/4 and you get 1/4.Then you would multiply the height and width so you multiply 1/4 and 1 1/4 and 1/2.

Find Volume of water.

V=lwh

V= 1/2 x 1/2 x 5/4

V=5/16.

Find Volume of The whole shape.

V=lwh

V= 1/2 x 5/4 x 3/4

V=15/32.

Subtract : 15/32-5/16=5/32

VOLUME OF MISSING PART = 5/32 meters cubed

Answer:

A

Step-by-step explanation:

the area of square is 10²=100

Area of a circle is πr²=π(10/2)²=25π

100-25π=100-25*3.14=100-78.5=21.5

Step-by-step explanation:

Multiply 10 by 10, then find the area of the circle (78.54) then subtract, 100-78.54= 21.46. Then round. So its A. 21.5 meters squared

Answer:

c

Step-by-step explanation:

⇒

10×3×7×7×5=7350ways