1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ella [17]
3 years ago
10

What is the surface area of the following prism?

Mathematics
1 answer:
Stolb23 [73]3 years ago
5 0

Answer:

102cm²

Step-by-step explanation:

Surface Area = BH +Lp

B is the base area

H is the height of the Prism

L is the slant height

p is t perimeter of its base

B =1/2 ×3×4

B= 6cm²

H = 7cm

L = 5cm

P = 3cm+4cm+5cm

P = 12cm

Substitute

TSA = 6(7)+5(12)

TSA = 42+60

TSA = 102cm²

Hence the total surface area of the shape is 102cm²

You might be interested in
The sum of the cube of a number and 12
Black_prince [1.1K]
Let the "number" be n.

The expression would be n^3+12
3 0
3 years ago
What is the value of the following expression?2 x [(12 + 2) x 5] + 32 divided by 2 number on top right 3
a_sh-v [17]

The value of the expression is 141.5

Explanation:

The expression is $2 \times[(12+2) \times 5]+\frac{3}{2}$

The value of the expression can be determined using the rule PEMDAS.

According to the PEMDAS rule, first we need to perform the operation which is within the parenthesis.

Thus, the expression becomes,

$2 \times(14 \times 5)+\frac{3}{2}$

Multiplying the values within parenthesis, we have,

$2 \times70+\frac{3}{2}$

Using PEMDAS, we need to multiply the numbers.

$140+\frac{3}{2}$

Again using PEMDAS rule, divide the number,

140+1.5

Finally, using PEMDAS, let us add the values, we have,

141.5

Thus, the value of the expression is 141.5

7 0
3 years ago
48 divided by4 +c^3, c=2
KatRina [158]

Answer:

20

Step-by-step explanation:

6 0
3 years ago
Use the circle to solve for the missing measures. Assume lines that appear tangent are tangent. Do NOT round any answers.
wlad13 [49]

The given circle having two external tangents, according to circle

theorem, have the following values;

  • r = 3
  • m∠1  = 82°
  • m∠2 = 49°
  • x = 82°

<h3>How can the radial  length and angles be found?</h3>

r² + 1.6² = (0.4 + r)²

(0.4 + r)² - (r² + 1.6²) = 0

0.8·r - 2.4 = 0

0.8·r = 2.4

r = 2.4 ÷ 0.8 = 3

  • <u>r = 3</u>

y = 49°

From the two tangent angle theorem, we have;

m∠1 = ((82 + 98 + 82) - (360 - ((82 + 98 + 82)))) ÷ 2 = 82

  • <u>m∠1  = 82°</u>

According to circle theorems, angle at the center is twice angle

subtended at the circumference.

m∠2 = (360 - (82 + 98 + 82)) ÷ 2 = 49°

  • <u>m∠2 = 49°</u>

The length of the chord subtended by the arc <em>x</em> is equal to the length of

the chord subtended by 89°, which gives;

  • <u>x = 82°</u>

Learn more about circle theorems applications here:

brainly.com/question/16879446

4 0
2 years ago
Find the nth term of this number sequence<br> 7, 10, 13, 16, ...<br><br> help please !!
LenKa [72]

Answer:

a_{n} = 3n + 4

Step-by-step explanation:

there is a common difference between consecutive terms , that is

10 - 7 = 13 - 10 = 16 - 13 = 3

this indicates the sequence is arithmetic with nth term

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = 7 and d = 3 , then

a_{n} = 7 + 3(n - 1) = 7 + 3n - 3 = 3n + 4

8 0
2 years ago
Read 2 more answers
Other questions:
  • The order of the ______________ in the congruence statement for two congruent triangles tells you the correspondence.
    7·2 answers
  • I will mark brainiest is my answer is correct need legit answer thanks
    7·1 answer
  • 10. Provide the reasons for the following proof:
    12·2 answers
  • A wall map has a scale of 128 Mi equals 6 in the distance between Springfield and Lakeview is two feet on the map what is the ac
    13·1 answer
  • 4. $545 at 4% for 2 years.<br><br> What is it
    13·1 answer
  • Jake has been in band twice as many years as billy. Together they have been in band a total of 18 years. How long has billy been
    13·1 answer
  • Match each graph to its equation below.
    13·1 answer
  • A function h(x) is defined by the equation h(x) = sqrt x-2 + 3. Which is the graph of h(x)?
    14·1 answer
  • Get the common denominator
    5·1 answer
  • PLEASE HELP ME !!
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!