What is the surface area of this triangular pyramid?

Answer:

(1 + x)(p - q)

Step-by-step explanation:

Given

p - q - x(q - p) ← distribute parenthesis by - x

= p - q - qx + px ← rearrange terms in p and terms in q

= p + px - q - qx ( factor first/second terms and third/fourth terms )

= p(1 + x) - q(1 + x) ← factor out (1 + x) from each term

= (1 + x)(p - q)

Answer:7

Step-by-step explanation:

I’ve attached my table of what I’ve done

Answer:

angle FGJ and angle KJG

hope it helps

Answer:

We should use the following transformation: [tex](x', y') = (x+2, y + 4)[/tex] (Translation of circle A to the center of the circle B)

Step-by-step explanation:

We should apply a translation prior to determine if both circles are similar. If we translate the circle A to the center of the circle B. The translation needed is the vectorial distance between both centers:

[tex]T(x,y) = B(x,y)-A(x,y)[/tex] (1)

Where:

[tex]T(x,y)[/tex] - Translation vector.

[tex]A(x,y)[/tex] - Location of the center of the circle A.

[tex]B(x,y)[/tex] - Location of the center of the circle B.

If we know that [tex]A(x,y) = (-5,-6)[/tex] and [tex]B(x,y) = (-3,-2)[/tex], then the translation vector is:

[tex]T(x,y) = (-3,-2)-(-5,-6)[/tex]

[tex]T(x,y) = (2,4)[/tex]

We should use the following transformation: [tex](x', y') = (x+2, y + 4)[/tex] (Translation of circle A to the center of the circle B)

Answer:

Step-by-step explanation:D

Step-by-step explanation:

Answer is in the photo. I can't attach it here, but I uploaded it to a file hosting. link below! Good Luck!

Cutt/ly.627929

Question isn't well formatted and seems incomplete :

Rockys rock quarry has three different sized trucks. Each truck can hold three ba the shipping manger put three bags that each hold about 200 pounds. The total weight of in the truck.

Answer:

Step-by-step explanation:

Given that:

Number of trucks = 3

Number of bags each truck can hold = 3

Weight per bag = 200 pounds

Amount of in each truck :

Weight per bag * number of bags

200 * 3 = 600 pounds

Which is 600 pounds per truck

Total pounds carried by the trucks :

600 pounds * 3 = 1800 pounds

Answer:

this is not a complete question cause u did not give full numbers

Step-by-step explanation:

not trying to steal points can u finish the question

Answer:

The probability of getting 1,2 and 3 after rolling once , second and thrice is

1/6

Step-by-step explanation:

These are all independent events.

The sample space = [1,2,3,4,5,6]

A die has 6 sides

1. If this die is thrown once, the probability of getting a 1 is = 1/6

2. If we roll the dice a second time, the probability of getting a 2 is independent from the first time it was rolled, so the sample space remains the same. The probability is also 1/6

3. If we rolled a 3rd time the probability remains 1/6 also

Answer:

see below

Step-by-step explanation:

let x = big number

let you = small number

x + y = 215-------> (1)

x - y = 137 ------>(2)

(1)

x = 215 - y ----->(1)

substitute 1 into 2

215 - y -y = 137

-2 y = 78

y = 39

substitute y = 39 into (1)

x = 215 - (39)

x = 176

thus the numbers are 176 & 39

hope this helps

please mark it brainliest

it took me quite long to do this

Answer:B

Step-by-step explanation:

Took the test

Answer:

37+12 =49_218+54=4554472287/41

Answer:

Step-by-step explanation:

Put them in your calculator. I think you'll find 2.95 is larger by 0.001

Do it like this 2.95 - 2.949 = 0.001

Answer:

It's actually B

Step-by-step explanation:

The measures of the sides are x , x , and x√2 . In a 45°−45°−90° triangle, the length of the hypotenuse is √2 times the length of a leg. To see why this is so, note that by the Converse of the Pythagorean Theorem , these values make the triangle a right triangle.

So x = 4 in this example and the side measures would be 4, 4, and 4√2 which is B

Answer:

$248

Step-by-step explanation:

given:

4 deposits

$62

solve:

4 × $62= $248

Answer:

$248

Step-by-step explanation:

You can answer it two ways:

1) add 62 + 62 + 62 + 62 = 248

2) multiply 4 * 62 = 248

Answer: $248

Answer:

(9, 57/7)

Step-by-step explanation:

Given the coordinates A(5 , 5)  and B(19 , 16), divided by the point P in the ratio 5:2, to get the coordinate of P, we will use the formula;

P(X, Y) = {{ax1+bx2/a+b, ay1+by2/a+b}

X = ax1+bx2/a+b

Substitute the given values

X = 5(5)+2(19)/5+2

X = 25+38/7

X = 63/7

X = 9

Similarly;

Y = 5(5)+2(16)/5+2

Y = 25+32/7

Y = 57/7

Hence the coordinate of point P is (9, 57/7)

Answer:

8/50

Step-by-step explanation:

2/10 x 4/5 = 8/50

Hope that helps!

Answer:

gf(5) = -8

Step-by-step explanation:

gf(x) = g(x^-1) = x^2 + 6x - 8

f(x) = 2x - 10

gf(x) = 6(2x - 10) - 8

gf(x) = 12x - 60 - 8

gf(x) = 12x - 68

gf(5) = gf(x) = 12x - 68

gf(5) = 12(5) - 68

gf(5) = 60 - 68

gf(5) = -8

Question

The hypotenuse of an isosceles right triangle is 11 centimeters longer than either of its legs. find the exact length of each side.

Answer:

[tex]Hypotenuse:37.56[/tex]

[tex]Other\ Legs: 26.56[/tex]

Step-by-step explanation:

Let the hypotenuse be y and the other legs be x.

So:

[tex]y = 11 + x[/tex]

Required

Determine the exact dimension of the triangle

Using Pythagoras theorem;

[tex]y^2 = x^2 + x^2[/tex]

[tex]y^2 = 2x^2[/tex]

This gives:

[tex](11+x)^2 = 2x^2[/tex]

Open bracket

[tex]121 + 22x + x^2= 2x^2[/tex]

Collect like terms

[tex]2x^2 - x^2 -22x - 121 = 0[/tex]

[tex]x^2 -22x - 121 = 0[/tex]

Using quadratic formula:

[tex]x = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}[/tex]

[tex]x = \frac{-(-22)\±\sqrt{(-22)^2 - 4*1*-121}}{2*1}[/tex]

[tex]x = \frac{-(-22)\±\sqrt{968}}{2*1}[/tex]

[tex]x = \frac{22\±31.11}{2}[/tex]

Split

[tex]x = \frac{22+31.11}{2}\ or\ x = \frac{22-31.11}{2}\\[/tex]

[tex]x = \frac{53.11}{2}\ or\ x = \frac{-9.11}{2}[/tex]

x can not be negative.

So:

[tex]x = \frac{53.11}{2}[/tex]

[tex]x = 26.56[/tex]

Recall that:

[tex]y = 11 + x[/tex]

[tex]y = 11 + 26.56[/tex]

[tex]y = 37.56[/tex]

Hence, the dimensions are:

[tex]Hypotenuse:37.56[/tex]

[tex]Other\ Legs: 26.56[/tex]

Answer:

The answer is D

Answer:

umm don't know.....

Step-by-step explanation:

......

Answer:

5÷0.45=11.1

11x3=33

Step-by-step explanation:

300/45=6.67x3=20

He would be able to eat 20 hot dogs

Answer:

D. 216 cm

Step-by-step explanation:  

1. I assume 14 is a 22 is b and 12 is h

2. Trapezoid Area Formula

[tex]A = \frac{1}{2}(a+b)h[/tex]

3. Plug in numbers

[tex]A = \frac{1}{2}(14+22)12[/tex]

[tex]216 = \frac{1}{2}(14+22)12[/tex]

The equation for the number of bags 'B' that can be filled from a supply of M&M's 'T' will be T / 39.

The formula to determine how many bags 'B' can be filled with M&M's from a stockpile of 'T', where each bag contains 39 candies, is:

B = T/39

This computation takes the sum of all M&M's in 'T' and divides it by the quantity of candies present in each sack (39), producing the amount of bags 'B' that can be filled.

Learn more about equations on

https://brainly.com/question/2972832

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Answer:

12

Step-by-step explanation:

lower quartile is the median of 11, 12, and 16

Answer:

Jehle is correct.

Step-by-step explanation:

Given - Jehle and Liam a both solving 0.5÷200.

Jehle says the quotient will be Less than 0.5.

Liam says the quotient would be more than 0.5

To find - Which student is correct ?

Proof -

Given expression is 0.5 ÷ 200

It is equivalent to

[tex]\frac{0.5}{200} = \frac{5}{2000} = \frac{1}{400}[/tex] = 0.0025 < 0.5

∴ we get

The expression is Less than 0.5

So, Jehle is correct.