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Tema [17]
2 years ago
9

A trapezoid has base lengths of 5 meters and 3.5 meters. If the height of the trapezoid is 4 meters, what is the area of the tra

pezoid?
Mathematics
1 answer:
aev [14]2 years ago
6 0

Answer:

17 m² or 17 square meters

Step-by-step explanation:

A trapezoid has base lengths of 5 meters and 3.5 meters. If the height of the trapezoid is 4 meters, what is the area of the trapezoid?

Area of a trapezoid =1/2(b1 + b2)h

Where

b1 = First base length = 5m

b2 = Second base length = 3.5 m

Height = 4m

= 1/2(5m + 3.5m) × 4m

= 1/2(8.5m) × 4m

= 1/2 × 8.5m × 4m

= 17 m²

Therefore, the area of the trapezoid is 17 m² or 17 square meters

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A road is inclined at an angle of 5°. After
Scorpion4ik [409]

Answer:

464 feet

Step-by-step explanation:

<em>The Sine of the angle of inclination gives the increase in altitude.</em>

<em>This is because the Sine of an angle is equal to the Opposite side divided by the Hypotenuse side. i.e</em>

Sin Ф = Opposite  ÷ Hypotenuse

Sin 5° = O ÷ 5328

0·08716 = O ÷ 5328

<em>Make </em>O<em> the subject and multiply every fraction by </em>5328

(0·08716/1 × 5328)= (O/5328 × 5328)

464·388 = O

∴ The increase in altitude is 464·388 feet

<em>This is supposed to be to the nearest foot so we round off</em>

464·388 becomes 464 feet

3 0
2 years ago
Ayman can print a document on an apricot printer in 4.5 min how long it will take him to print the same document on a sure-fire
Semenov [28]

Use the four-step plan to solve each problem.

1. Financial Literacy Antonia bought a video game

system for $323.96. She paid in 12 equal

installments. About how much did she pay each

month?

ANSWER:  

Sample answer: about $27

4. The planet Mercury takes 56.6 Earth days to rotate

once about its axis.

About how many times does it rotate about its axis

during one Earth year?

ANSWER:  

Sample answer: about 6 times

6. The table shows the speed, in pages per minute

(ppm), for three different

brands of printer.

a. Andrew needs to print a document that is 180

pages long. How much longer will it take to print the

document on a Sure-Fire printer than on a Centroid

printer?

b. Carlos can print a document on an Apricot

printer in 4.5 minutes. How long would it take him

to print the same document on a Sure-Fire printer?

ANSWER:  

a. 3 min

b. 3 min

7. The towns of Jackson, Bellevue, Salem, and

Denton lie along a highway, in the order listed. The

distance from Jackson to Salem is 84 miles. The

distance from Bellevue to Denton is 61 miles. The

distance from Bellevue to Salem is 18 miles. What

is the distance from Jackson to Denton?

ANSWER:  

127 mi

10. Persevere with Problems Noah has a $20 gift

card for an online music store. All songs at the store

have the same price. After Noah buys 3 songs, the

balance on the card is $16.25. What will be the

remaining balance on the card after he buys 5 more

songs?

ANSWER:  

$10

13. A 26-mile section of a highway is designated as a

scenic byway. New signs will be placed at the

beginning and end of this section and at every 0.5

mile in between. How many new signs are needed?

A 13

B 14

C 52

D 53

ANSWER:  

D

Use the four-step plan to solve each problem.

1. Financial Literacy Antonia bought a video game

system for $323.96. She paid in 12 equal

installments. About how much did she pay each

month?

ANSWER:  

Sample answer: about $27

4. The planet Mercury takes 56.6 Earth days to rotate

once about its axis.

About how many times does it rotate about its axis

during one Earth year?

ANSWER:  

Sample answer: about 6 times

6. The table shows the speed, in pages per minute

(ppm), for three different

brands of printer.

a. Andrew needs to print a document that is 180

pages long. How much longer will it take to print the

document on a Sure-Fire printer than on a Centroid

printer?

b. Carlos can print a document on an Apricot

printer in 4.5 minutes. How long would it take him

to print the same document on a Sure-Fire printer?

ANSWER:  

a. 3 min

b. 3 min

7. The towns of Jackson, Bellevue, Salem, and

Denton lie along a highway, in the order listed. The

distance from Jackson to Salem is 84 miles. The

distance from Bellevue to Denton is 61 miles. The

distance from Bellevue to Salem is 18 miles. What

is the distance from Jackson to Denton?

ANSWER:  

127 mi

10. Persevere with Problems Noah has a $20 gift

card for an online music store. All songs at the store

have the same price. After Noah buys 3 songs, the

balance on the card is $16.25. What will be the

remaining balance on the card after he buys 5 more

songs?

ANSWER:  

$10

13. A 26-mile section of a highway is designated as a

scenic byway. New signs will be placed at the

beginning and end of this section and at every 0.5

mile in between. How many new signs are needed?

A 13

B 14

C 52

D 53

ANSWER:  

D

5 0
3 years ago
Find the absolute maximum value for the function f(x) = x^2 − 4, on the interval [–3, 0) U (0, 2].
Andreyy89

Answer:

5

Step-by-step explanation:

The function y=x^2 -4 is

  • decreasing for all x\in [-3,0);
  • is increasing for all x\in (0,2]

(see attached diagram for details).

The maximum value of the function is at endpoints -3 or 2. find y(-3) and y(2):

y(-3)=(-3)^2-4=9-4=5\\ \\y(2)=4^2-4=0

So, the maximum value is 5.

5 0
3 years ago
A square poster has a side length of 26 in. Drawn on the poster are four identical triangles. Each triangle has a base of 8 in.
Firdavs [7]
To find the probability of landing on a triangle, you will want find the combined areas of the triangles and the total area of the square target.

Divide the area of the combined areas and the total area to find the probability of landing on a triangle.

A = 1/2bh
      1/2 x 8 x 8
A = 32 square inches
32 x 4
128 square inches (areas of triangles)

A = bh
     26 x 26
A = 676 square inches

128/676 = 0.189

There is an approximate probability of 0.19 of hitting a triangle.
6 0
2 years ago
Read 2 more answers
Given h(x) = 2x – 3, find h(5)
kobusy [5.1K]

Answer:

h(5) = 7

Step-by-step explanation:

Step 1: Define

h(x) = 2x - 3

h(5) is x = 5

Step 2: Substitute and Evaluate

h(5) = 2(5) - 3

h(5) = 10 - 3

h(5) = 7

3 0
3 years ago
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