Identify the lateral area and surface area of a regular triangular pyramid with base edge length 10 ft and slant
height 14 ft

The volume of the rectangular prism can be found using the 6x6x7 option (A) 6x6x7 is correct.

It is defined as the six-faced shape, a type of hexahedron in geometry.

It is a three-dimensional shape. It is also called a cuboid.

It is given that:

A rectangular prism is given in the picture with dimensions:

As we know, volume can be defined as a three-dimensional space enclosed by an object or thing.

The volume of the rectangular prism is given by:

V = L×W×H

Here, V is the volume of the rectangular prism

L is the length of the rectangular prism

W is the width of the rectangular prism

H is the height of the rectangular prism

From the figure:

L = 6 cm

W = 7 cm

H = 6 cm

V = 6x7x6

or

V = 6x6x7

Thus, the volume of the rectangular prism can be found using the 6x6x7 option (A) 6x6x7 is correct.

Learn more about the rectangular prism here:

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Step-by-step explanation:

a1 = 27

r = -9/27 = -⅓

the formula :

an = a1. r^(n-1)

= 27. (-⅓)^(n-1)

= 3³(-3`¹)^(n-1)

= 3³(-3)^(1-n)

Answer:

Step-by-step explanation:

here A(-3,-2)

-3 is x and -2 is y

so use this formula to find A'

p(x,y)=p'kx,ky)

here k is a scale factor which is 1/2

A(-3,-2)=A'(1/2*-3.1/2*-2)

A'(-3/2,-1)

Yes, it looks like everything is plugged in right

On the other hand, you have very neat handwriting.

Answer:

$92.60

Step-by-step explanation:

7($5.99) + 7($6.49)=$41.93

$41.93 + $45.43  = $87.36

$87.36 + ($87.36 × 6%=0.06)

$87.36 + (0.06 × $87.36=5.24)

$87.36 + $5.24= $92.60

Answer:

2feet, 2feet, 3.6 feet, 3.625 feet

Step-by-step explanation:

Given data

The given lenght area

2 feet, 3.6 feet, 2 feet, and 3.625 feet

Rearrange in increasing order we have

2feet, 2feet, 3.6 feet, 3.625 feet

Answer:

3(−7)(+2)

5(+5)²

Step-by-step explanation:

f() = 3² - 15 - 42 = 3(−7)(+2)

f() = 5² + 50 + 125 =  5(+5)²

That is how you factor them. Hope this helps :)

Answer:

C and D

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 3, - 6) and (x₂, y₂ ) = (9, 3) ← 2 points on the line

m = [tex]\frac{3+6}{9+3}[/tex] = [tex]\frac{9}{12}[/tex] = [tex]\frac{3}{4}[/tex]

Using (a, b ) = (9, 3 ) , then

y - 3 = [tex]\frac{3}{4}[/tex] (x - 9) → C

Using (a, b ) = (- 3, - 6 ), then

y - (- 6) = [tex]\frac{3}{4}[/tex] (x - (- 3) ) , that is

y + 6 = [tex]\frac{3}{4}[/tex] (x + 3) → D

Answer

4.5 : 0.24 = 1.5 :0.08    [dividing by 3]

Answer:

132

Step-by-step explanation:

4*7  +  (7+19)/2  * 8  = 28 + 104 = 132

Answer:

the answer is no tawag utro the gathered up and I will send you the details in each of the three I don't think so but not in the office today but will be in touch soon to be at work tomorrow at the y I love the

Answer:

451

Step-by-step explanation:

Answer:

look at the picture i have sent

Answer:

Hey mate......

Step-by-step explanation:

This is ur answer.....

Solution :-

= x + 40 + 67 = 180

= x + 107 = 180

= x = 180 - 107

= x = 73

Hope it helps!

Brainliest pls!

Follow me! :)

Answer:

G

Step-by-step explanation:

vertex formula = a(x-h)^2 + k

vertex is (h, k) so (-1, -4) means

y = a(x+1)^2-4

passes through (1, 8) so when x = 1 and y = 8

8 = a(1+1)^2-4 = 4a - 4

4a = 4

a = 1

Step-by-step explanation:

Divide 180 by 3 = 60

Divide 150 by 2 = 75

The faster vehicle is truck and its speed is 75 mph

Step-by-step explanation:

1. m∠ WYC = 90° - 63°

= 27°

2. 9x + 63° = 90°

9x = 90° - 63°

9x = 27°

x = 27/9

x = 3°

Answer:

Step-by-step explanation:

then multiply

Answer:

b) 4

Step-by-step explanation:

A =?

B =?

A+B = 6

C=5

D = 3

C+D = 8

(A+B) xB = (C+D)xD

6 X= 8x3

6X = 24

X = 4

Answer:

-1/2

Step-by-step explanation:

-1/2

Answer:

hope this helps

Step-by-step explanation:

Answer:

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Step-by-step explanation:

Answer:

-decreases the chance of contracting any type of virus  

-decreases the chance of other people contracting the virus

Step-by-step explanation:

Answer: It keeps people safe, and it keeps you safe as well.

Step-by-step explanation: You're keeping other people safe by wearing a mask,since youre limiting or even entirely preventing particles and germs from reaching other people,and protecting yourself because a mask prevents germs entering your nose and mouth.

Answer:

A

Step-by-step explanation:

Take test score from Test 1 and add them all together and divide by the number of test

ex) 77+82+69+85+93=406

    406/5= 81.2

Then repeat with Test 2

ex) 75+76+71+68+72=362

    362/5= 72.4

Therefore the MAD of Test 1 > MAD of Test 2

the answer is A.

Step-by-step explanation:

Add the test scores of the first test together then add the test scores of the second test together then compare and contrast.

Answer:

x-intercept is at (9, 0)

y-intercept is at  (0, 6).

Step-by-step explanation:

The x intercept occurs when y = 0:

2x + 3*0 = 18

2x = 18

x = 9,

y-intercept, when x = 0:

2(0) + 3y = 18

y = 6.

[tex]_____________________________________[/tex]

[tex]_____________________________________[/tex]

[tex]\sf\implies{x^{2}=7^{2}+7^{2}~~~~~~~~(Pythagoras~theorem)}[/tex]

[tex]\sf\implies{x^{2}=49+49}[/tex]

[tex]\sf\implies{x^{2}=98}[/tex]

[tex]\sf\implies{x={\sqrt{98}}}[/tex]

[tex]\sf\implies{x={\sqrt{49×2}}}[/tex]

[tex]\sf\implies{x={\underline{\boxed{\sf{\pmb{7{\sqrt{2}}}}}}}}[/tex]

using Pythagorean theorem

a²+b²=c² where 'a'&'b' are legs of the right angle triangle and 'c' is the hypotenuse of the right angle triangle

here two legs are given (7,7) and x is the hypotenuse

=>a²+b²=c²

=>7²+7²=x²

=>x²=49+49

=>x²=98

=>√x²=√98

=>x=7√2

I hope it helps have a great day

Answer:

[tex] \sqrt{3} \div 2[/tex]

Step-by-step explanation:

there are multiple ways to get to the result. and it took me a little while to figure out your symbolic. I am not sure about the context of your problem, so I try to give you 2 ways.

1. similar triangles.

they have the same angles, and therefore the change factor for their side lengths (to change from one similar triangle to the other) must be the same for all sides.

tan of an angle is the length of the outside tangent touching the circle starting at x=1,y=0 and going up perpendicular all the way until it crosses the line from the center of the circle enclosing the angle.

so, we have one triangle of the corners ABC, where A=(0,0), B=(1,0), C=(1,tan of the angle = sqrt(3)).

and we have a similar triangle ADE, where A=(0,0), D=(cos of the angle=1/2,0), E=(1/2,m).

we know because of the described similarity that the sides BC and DE must have the same ratio as e.g. AB and AD.

AB=1, AD=1/2, so the ratio AD/AB = 1/2.

now, BC=sqrt(3). DE=m and must follow the same ratio as AD/AB. DE/BC=1/2.

=> m/sqrt(3)=1/2 => m=sqrt(3)/2

2. circle equation : x^2 + y^2=r^2

x=1/2, y=m, r=1

(1/2)^2 + m^2 = 1^2 (= 1)

1/4 + m^2 = 1

m^2 = 3/4

m = sqrt(3)/sqrt(4) = sqrt(3)/2

Answer:

Hello! answer: 50

Step-by-step explanation:

33 + 17 = 50 50 - 17 = 33 Hope that helps!

Answer:

P equals 50

Step-by-step explanation:

33 plus 17 equals 50