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sergiy2304 [10]
3 years ago
11

Find the surface area of the figure

Mathematics
1 answer:
belka [17]3 years ago
6 0

Answer:

122.30 cm²

Step-by-step explanation:

The figure is a triangular prism.

Formula for calculating surface area of a triangular prism = bh + L(S1 + S2 + S3)

Where,

b = 11 cm

h = 4.3 cm

S1 = 8 cm

S2 = 6 cm

S3 = 11 cm

L = 3 cm

Surface area = 11*4.3 + 3(8 + 6 + 11)

= 47.3 + 3(25)

= 122.3 cm²

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R = x(A + B)<br> Solve for A.
larisa86 [58]

Answer:

A = \frac{R}{x} - B

Step-by-step explanation:

Given

R = x(A + B) ← divide both sides by x

\frac{R}{x} = A + B ( subtract B from both sides )

\frac{R}{x} - B = A

3 0
3 years ago
Find the value of x please and thank you
Pachacha [2.7K]

Given:

In triangle DEF, HG is parallel to DF.

To find:

The value of x.

Solution:

In triangles DEF and GEH,

\angle DE F\cong \angle GEH          (Common angle)

\angle EDF\cong \angle EGH          (Corresponding angle)

\Delta DE F\sim \Delta GEH             (By AA property of similarity)

We know that corresponding sides of similar triangle are proportional.

\dfrac{DE}{GE}=\dfrac{DF}{GH}

\dfrac{9+(x+5)}{x+5}=\dfrac{12}{6}

\dfrac{x+14}{x+5}=2

x+14=2(x+5)

x+14=2x+10

Isolating variable terms, we get

x-2x=-14+10

-x=-4

x=4

Therefore, the value of x is equal to 4.

3 0
2 years ago
debt payments of $800 due now and $1400 due in 5 months are to be repaid by a payment of $1000 in 3 months and a final payment i
loris [4]

Answer:

$1,304.70

Step-by-step explanation:

If interest 6% annually, monthly is 0.5%.

The debt in 5 months will be 800 plus compounded interest for 5 months plus new due debt

800(1.005)^5+1400=2220.201

In 3 more months the debt will be 2220.201 plus compounded interest for 3 months minus payment

2220.201(1.005)^3-1000=1253.67

After 8 months the debt would be 1253.67 plus compounded interest for 8 months

2220.201(1.005)^3=1304.70

Then the size of the final payment would be $1,304.70

5 0
3 years ago
find the local and/or absolute extrema for the function over the specified domain. (Order your answers from smallest to largest
Arlecino [84]

Answer:

Minimum 8 at x=0, Maximum value: 24 at x=4

Step-by-step explanation:

Retrieving data from the original question:

f(x)=x^{2}+8\:over\:[-1,4]

1) Calculating the first derivative

f'(x)=2x

2) Now, let's work to find the critical points

Set this

2x=0\\x=0    

0, belongs to the interval. Plug it in the original function

f(0)=(0)^2+8\\f(0)=8

3)  Making a table x, f(x) then compare

x|  f(x)

-1 | f(-1)=9  

0 | f(0)=8   Minimum

4 | f(4)=24 Maximum

4) The absolute maximum value is 24 at x=4 and the absolute minimum value is 8 at x=0.    

5 0
3 years ago
The graph shows the best-fit regression model for a set of data comparing the number of hours spent hiking and the number of mil
Naddik [55]

Answer:

C

Step-by-step explanation:

Edgen

3 0
2 years ago
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