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3 years ago

Find the surface area of the prism below. Please see attachment and the answer C. 1200cm^2 is incorrect. Thanks!

Mathematics

1 answer:

skad [1K]3 years ago

5 0

Answer: option a

Step-by-step explanation:

You must apply the formula for calculate the surface area of the prism, which is shown below:

$SA=bh+2ls+lb$

Where:

b=8 cm

h=3 cm

l=10 cm

s=5 cm

When you susbstitute the values shown above into the formula for calculate the surface area, therefore you obtain:

$SA=(8cm*3cm)+2(10cm*5cm)+(10cm*8cm)\\SA=204cm^{2}$

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Someone help me with this please

dangina [55]

Answer:

4 number

Step-by-step explanation:

16p+32q=1,280

3 0

3 years ago

H2 + 7h + 10 = 0<br> Help please

Leni [432]

Answer:

-2, -5

Step-by-step explanation:

h2 + 7h + 10 = 0

h^2 +7h + 10 = 0

h^2 +2h +5h + 10 = 0

h(h+2) + 5(h+2) = 0

h+2 = 0 or h+5 = 0

h = -2 or h = -5

4 0

3 years ago

The vertices of a triangle are P(-1, 3), Q(2, -1), and R(5, 3).

Morgarella [4.7K]

Ok so to find which sides are congruent we need to know their lengths.

To find the length we need the distance formula between two point ->

√(X2-X1)∧2 +(Y2-Y1)∧2

Ok lets find the first side PQ

P(-1,3) Q(2,-1)
X1 Y1 X2 Y2

√(2-(-1)∧2 + (-1-3)∧2 = 5

Now PR

P (-1,3) R (5,3)
X1 Y1 X2 Y2

√(5-(-1))∧2 + (3-3)∧2) = 6

Now the last side QR

Q (2, -1) R (5,3)
X1 Y1 X2 Y2

√(5-2)∧2 + (3-(-1))∧2 = 5

From the above work we see that PQ and QR are congruent becuase they are equal PQ=QR

Also the opposite angles of these sides are congruent. Hope this helps :).

8 0

3 years ago

Read 2 more answers

Two ropes are attached to a large ballon in a parade. The people holding the ropes are 40 feet apart,and the angle between the t

qaws [65]

Ropes are 9.63 meters ans 8.178 meters.

<u>Step-by-step explanation:</u>

Step 1 :

List all the given things

Distance between people holding ropes = 40 =(40*0.3048) meters = 12.192 meters

Angle between two ropes = 86 degrees

Angle of elevation of one rope = 42 degrees

Step 2 :

Two angles of triangle are already given so third angle can be calculated as -

Third angle = 180 - ( 86 + 42 ) = 52 degrees

Step 3 :

As we know all three angles we will apply sine rule now, which is

$\frac{a}{sine A} = \frac{b}{sine B} = \frac{c}{sine C}$

Step 4 :

By putting values, we have

$\frac{a}{sine 52} = \frac{b}{sine 42} = \frac{12.192}{sine 86}$

Step 5 : Calculating a and b

$a = 12.192 * \frac{sine 52}{sine 86}$ , $b = 12.192 * \frac{sine 42}{sine 86}$

Step 6 :

By putting values of all sine and calculating we get,

a = 9.63 meters and b = 8.178 meters

4 0

3 years ago

The function ƒ(x) = (x − 1)^2 + 5 is not one-to-one. Find a portion of the domain where the function is one-to-one and find an i

melisa1 [442]

Answer:

f(x)=(x-1)^2+5 with domain x>1 and range y>5 has inverse g(x)=sqrt(x-5)+1 with domain x>5 and range y>1.

Step-by-step explanation:

The function is a parabola when graphed. It is in vertex form f(x)=a(x-h)^2+k where (h,k) is vertex and a tells us if it's reflected or not or if it's stretched. The thing we need to notice is the vertex because if we cut the graph with a vertical line here the curve will be one to one. So the vertex is (1,5). Let's restrict the domain so x >1.

* if x>1, then x-1>0.

* Also since the parabola opens up, then y>5.

So let's solve y=(x-1)^2+5 for x.

Subtract 5 on both sides:

y-5=(x-1)^2

Take square root of both sides:

Plus/minus sqrt(y-5)=x-1

We want x-1>0:

Sqrt(y-5)=x-1

Add 1 on both sides:

Sqrt(y-5)+1=x

Swap x and y:

Sqrt(x-5)+1=y

x>5

y>1

3 0

3 years ago