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1 year ago

PLEASE HELPPP!!! Thank you smm

Mathematics

1 answer:

Tema [17]1 year ago

7 0

Answer:

Surface Area: 310 square inches.

Step-by-step explanation:

There are two ways to do this:

A) Formula for Surface Area of a Rectangular Prism = 2 * ( l*w + w*h + h*l). Where l is length, w is width & h is height. Based on the question:

l = 10 inch

w = 5 inch

h = 7 inch

Surface Area = 2 * ( 10*5 + 5*7 + 7*10) = 310 square inches.

B) Formula for Area of Rectangle = l*w, where l is length & w is width.

Look at the picture, I have marked the corners O,P,Q,R,S,T,U,V,W,X,Y,Z

If we calculate the Area of each rectangle and add them all we will get the surface area automatically.

Area of PQRS = 10*7 = 70 square inches
Area of STUV = 7*5 = 35 square inches
Area of VWXY = (7+5)*10 = 120 square inches
Area of ORYZ = 7*5 = 35 square inches
Area of RSVY = 10*5 = 50 square inches

Now add them all = 70+35+120+35+50 = 310 square inches.

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9/20

Stella [2.4K]

Question:

Find the number of real number solutions for the equation. x^2 + 5x + 7 = 0

Answer:

The number of real solutions for the equation $x^{2}+5 x+7=0$ is zero

Solution:

For a Quadratic Equation of form : $a x^{2}+b x+c=0$ ---- eqn 1

The solution is $x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Now , the given Quadratic Equation is $x^{2}+5 x+7=0$ ---- eqn 2

On comparing Equation (1) and Equation(2), we get

a = 1 , b = 5 and c = 7

In $x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$ , $b^2 - 4ac$ is called the discriminant of the quadratic equation

Its value determines the nature of roots

Now, here are the rules with discriminants:

1) D > 0; there are 2 real solutions in the equation

2) D = 0; there is 1 real solution in the equation

3) D < 0; there are no real solutions in the equation

Now let solve for given equation

$D= b^2 - 4ac\\\\D = 5^2 - 4(1)(7)\\\\D = 25 - 28 \\\\D = -3$

Since -3 is less than 0, this means that there are 0 real solutions in this equation.

4 0

3 years ago

which equation shows the point-slope form of the line that passes through (3, 2) and has a slope of 1/3 ?

denis23 [38]

Answer:

$y-2=\frac{1}{3}(x-3)$

Step-by-step explanation:

we know that

The equation of the line into point slope-form is equal to

$y-y1=m(x-x1)$

in this problem we have

$m=\frac{1}{3}$

$(x1,y1)=(3,2)$

substitute the values in the formula

$y-2=\frac{1}{3}(x-3)$

6 0

3 years ago

Read 2 more answers

To eliminate 6X you would Transform 2x by multiplying what number ?

NARA [144]

Answer:

-3

Step-by-step explanation:

to eliminate 6x we need the same no. 6x but that should be negative. so

2X × -3 = -6X

and

6X+(-6X)=0

5 0

3 years ago

7. The graph of part of linear function g is shown on the grid. Which inequality best represents the domain of the part shown?

PSYCHO15rus [73]

Answer:

Step-by-step explanation:

Domain means the change in x.

so the domain will be which values of x the fn goes through.

you can see the black line goes from -9 to 2 in x values.

the -9 isn't filled in, but the 2 is. filled in means it will be with an equals instead of without.

so x is between -9 and 2, 2 is with equals -9 is without,

so the first one.

3 0

2 years ago

If each quadrilateral below is a trapezoid blind the missing measure’s

uysha [10]

Answer:

measure of angle is E is 45 degrees besausw if you look closely then it is a

45,45,90, Triangle and so E is 45 degrees

measure of c = 360-45+79+134 = 102 ° degrees

8 0

2 years ago