An equilateral triangle with side length 7 cm is shown in the diagram, work out the area of the triangle.
Give your answer rounded to 1 DP.

Answers

Answer 1
If a triangle has sides of 7 cm and it is an equilateral you can draw a line right down the middle to form two congruent triangles.

These smaller triangles have a hypotenuse of 7cm and a base of 3.5 cm (7/2)

To work out the height, use Pythagoras’ theorem.

a^2 + b^2 = c^2 where c is the hypotenuse and a and b are the other two sides

7^2 - 3.5^2 = 36.75

Square root answer

= 6.06 cm

That’s the height of the triangle

Area of a triangle is base x height divided by 2

So 7 x 6.06 = 42.43…

/2

= 21.2 cm^2 to one d.p

Hope this helped!
Please mark Brainliest!!

Related Questions

PLS HELP ILL GIVE EXTRA POINTS NEED ASAP

Answers

The answer is 6 , due to the fact the 9-3 =6

Answer:

5

Step-by-step explanation:

Median from 24 to 28

24 + 28 / 252 / 226

Median from 28 to 34

28 + 34 / 262 /231

Interquartile range

M2 - M131 - 265

Cody wanted to give each of his forty-five friends an equal amount of candy. At the store he bought six hundred eighty pieces total to give to them. How many more pieces should he have bought so he didn't have any extra pieces?​ I will branliest to who ever answers first!

Answers

Answer:

He should have got 40

Step-by-step explanation:

680 / 45 = 15.11

45 x 16 = 40

A composite figure is comprised of a semicircle, trapezoid, and 2 rectangles. How can you decompose the composite figure to determine its area? as a circle, three rectangles, and a triangle as a circle, a trapezoid, and four triangles as a semicircle, three rectangles, and a square as a semicircle, a trapezoid, and two rectangles.

Answers

The way we can decompose the composite figure to determine its area is given by: Option D: as a semicircle, a trapezoid, and two rectangles.

How to calculate the surface area of a composite figure?

Surface area are derived for some standard shapes like circle, triangle, parallelogram, rectangle, trapezoid, etc.

When some shape comes which isn't standard figure, then we find its area by slicing it (virtually, like by drawing lines) in standard shapes. Then we calculate those composing shapes' area and sum them all.

Thus, we have:

[tex]\text{Area of composite figure} = \sum (\text{Area of composing figures})[/tex]

That ∑ sign shows "sum"

Since the considered composite figure consists of a semicircle, trapezoid, and 2 rectangles, so we can find its area by their use.

Thus, the way we can decompose the composite figure to determine its area is given by: Option D: as a semicircle, a trapezoid, and two rectangles.

Learn more about area of a composite figure here:
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Answer:

d

Step-by-step explanation:

i just finished the test

50 POINTS FOR CORRECT ANSWER!

Answers

Answer:

[tex]y\geq 2x+3[/tex]

Step-by-step explanation:

the gradient of a line is found by using the formula [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1} }[/tex]

so we get [tex]\frac{5-3}{1-0}=\frac{2}{1} =2[/tex]

the y-intercept is where the line crosses the y-axis which is simply 3

so the equation of this line is [tex]y=2x+3[/tex] in the form [tex]y=mx+c[/tex]

but the question is asking for an inequality, specifically above the line so we get [tex]y\geq 2x+3[/tex]

(0,3)(-3,-3)

Slope:-

[tex]\\ \tt\Rrightarrow m=\dfrac{-3-3}{-3}=2[/tex]

Equation of line in point slope form

[tex]\\ \tt\Rrightarrow y-3=2x[/tex]

[tex]\\ \tt\Rrightarrow y=2x+3[/tex]

Put (0,0)

2(0)+3=3>0

Hence the inequality is

[tex]\\ \tt\Rrightarrow y\geqslant 2x+3[/tex]

Question 2 of 10
What is the area, measured in square centimeters, of the green shape
pictured below? Do not include units in your answer.
1 cm
Icm

Answers

Answer:

15

Step-by-step explanation:

Count the units in the green shape or 3 x 5 = 15

which is closer to -3/5 … 2/5, -0.2, -4/5, 0.6

Answers

-3 : 5 = - 0,6

so it will be - 4/5  (= - 0,8)

Molly bought a large basket of 60 apples.
When she got home, she found 6 rotten
ones. If she goes back and buys 200 more
apples, how many rotten apples would she
expect there to be?

Answers

Answer:

approximately 14

Step-by-step explanation:

first find out how many sets of 60 there are

200/60=3.3

3.3 sets of 4 apples

but you can't have 2/3 of a rotten apple

so 3.5 sets of 4 rotten apples

4x3.5=14

please answer . thanks in advance

Answers

Answer:

Step-by-step explanation:

If they are the same, the ratio of length to width when reduced to the lowest terms are

Large rectangle L/w = 36/24 = 3/2

Small triangle L/w = 24/18 = 4/3

Answer: The ratios are not the same. The rectangles are not similar.

A square has a side that measures 5. 5 units. What is the area of a circle with a circumference that equals the perimeter of the square? Use 3. 14 for π, and round your answer to the nearest hundredth. 38. 47 units2 94. 99 units2 153. 86 units2 379. 94 units2.

Answers

The area of the circle whose circumference is equal to the perimeter of the square is 38.47 squared units.

What is circumference and area of the circle?

Circumference of the circle is the length of its boundary. It can given as,

[tex]P=2\pi r[/tex]

The area of the circle is the space occupied by it. It can be given as,

[tex]A=\pi r^2[/tex]

Here (r) is the radius of the circle.

A square has a side that measures 5. 5 units. The perimeter of the square is the equal to the 4 times of its side. Thus its perimeter is,

[tex]P=4\times5.5\\P=22\rm\; units[/tex]

The circumference of the circle is equal to the perimeter of the square. Thus the radius (r) of circle is,

[tex]P=2\pi r\\22=2\times\pi r\\r\approx3.5\rm\; units[/tex]

The area of this circle is,

[tex]A=\pi r^2\\A=3.14\times (3.5)^2\\A=38.465\\A\approx 38.47\rm\; units^2[/tex]

Hence the area of the circle whose circumference is equal to the perimeter of the square is 38.47 squared units.

Learn more about the circumference and area of the circle here;

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A department store receives a shipment of 3 boxes of glass ornaments. There are 25 ornaments in each box. Lucas opens the boxes and finds that 6 of the ornaments are broken. Based on this shipment, what prediction can Lucas make about the next shipment of ornaments?
F A delivery of 4 boxes will contain 4 more broken ornaments than a delivery of 3 boxes.
G A delivery of 5 boxes will contain 6 more broken ornaments than a delivery of 3 boxes.
H A delivery of 6 boxes will contain 6 more broken ornaments than a delivery of 3 boxes.
J A delivery of 7 boxes will contain 10 more broken ornaments than a delivery of 3 boxes.​

Answers

Answer:

the next shipment of ornaments are 16

4. Find the volume of the cone. ​

Answers

Answer:

A.

Step-by-step explanation:

πr^2 h/3

Hope this helps!

The swimming pool shown below has a 6 foot wide concrete deck around it.

What is the area, in square feet, of the deck around the pool?
O512
O720
O864
O1232

Answers

Area of the rectangle inside:-

32(16)=512ft^2

Area of the rectangle outside

28(44)=1232ft^2

Area of the deck:-

Area of rectangle outside-inside1232-512720ft^2

Answer:

pretty sure it's D for this question

please help

The table below shows the number of hours that a
scientist has been observing bacteria in a petri dish

Answers

Answer:

In the beginning there were 20 bacterias in the petri dish.

apter 13
4. The base rate for workers' compensation insurance for roolers
in one state is $16.95 per $100 paid to employees. The total
monthly payroll for Certified Roofing is $15,738.00. What is the
monthly premium for workers' compensation insurance?

Answers

Answer:

  $2,667.59

Step-by-step explanation:

The insurance premium is found by multiplying the payroll amount by the premium rate.

  ($15,738) × $16.95/$100 = $15,738 × 0.1695 ≈ $2,667.59

The monthly workers' compensation insurance premium is $2,667.59.

_____

Additional comment

The roofers in that state must have an exceptionally high rate of accident, injury, or illness. Many places, the average rate of workers' comp insurance is less than $2 per $100.

Answer:

The roofers in that state must have an exceptionally high rate of accident, injury, or illness. Many places, the average rate of workers' comp insurance is less than $2 per $100.

Step-by-step explanation:

how do you make x the subject on this ​

Answers

4x= a(x+b)
a(x+b)
X= ————-
4

Complete a Proportion Web for the following situation

A candy-wrapping robot can wrap 434 pieces of candy in 5 minutes. How many pieces of candy can it wrap in and number of minutes ​

Answers

Answer:

It can produce about 86 candy.

Step-by-step explanation:

434 divided by 5 = 86 with a remainder of 0.8

After eating at the restaurant, Tom, Mary, and
Sara decided to divide the bill evenly. If each
person paid 42 dollars, what was the total of the
bill?

Answers

Answer:

$126

Step-by-step explanation:

since they divided it evenly therefore everyone paid $42 you just times that by the amount of people. there is tom, mary and sara therefore 3. 42*3=126

Answer:

total bill was $126

Step-by-step explanation:

3 people ate: Tom, Mary and Sara
if they split the bill evenly, they would all pay the same amount
if each person paid 42 dollars, you just multiply that amount by the number of people
42 x 3 = 126

Benjamin wants to purchase a new bike, but he does not have enough money in his bank account to pay for one.

Which of these is not an option for Benjamin?


He can save money and write a check once there is enough money in his account.

He can use his debit card to purchase the bike now.

He can save money and pay cash once he has enough.

He can use his credit card to purchase the bike now.

Answers

He can use his debit card to purchase the bike now. (Not an option)

A bag contains 40 red and green marbles. The number of green marbles, g, is 9 times the number of red marbles, r.
How many red marbles are in the bag?

Answers

Answer:

4 red marbles

Step-by-step explanation:

green marbles = 9r

red marbles = r

9r + r = 40

10r = 40

r = 4 = red marbles

Find the perimeter.
Write your answer as a fraction or as a whole or mixed number.
3 am
1
18
N
zam
No
m
N
3
3
18
m
meters

Answers

Answer:

Hope this helps you

Step-by-step explanation:

Thank

PLSSS HELP IF YOU TURLY KNOW THISS

Answers

Answer:

less than

Step-by-step explanation:

Answer:

B) less than

Step-by-step explanation:

We can start by looking at the number infront of the fractions. We know that 2 is less than 3 which also means that 2 and 7/8 is less than 3 and 1/4.

I hope this helps!!

Please mark brainliest!

Find the equation of the line shown.

Answers

Answer:

(0,6) to (4,10) it might be the answer..........

The equation of the line passing through the points (0, 6) and (4, 10) is y = x + 6.

Here, we have,

To find the equation of the line passing through the points (0, 6) and (4, 10), we can use the slope-intercept form of a linear equation, which is given by:

y = mx + b,

where m is the slope of the line, and b is the y-intercept.

First, let's calculate the slope (m) using the formula:

m = (y₂ - y₁) / (x₂ - x₁),

where (x₁, y₁) = (0, 6) and (x₂, y₂) = (4, 10).

m = (10 - 6) / (4 - 0) = 4 / 4 = 1.

Now that we have the slope (m = 1), we can substitute it into the slope-intercept form along with one of the given points to find the y-intercept (b).

Using the point (0, 6), we have:

6 = 1(0) + b,

b = 6.

Therefore, the y-intercept (b) is 6.

Now we can write the equation of the line using the slope-intercept form:

y = mx + b,

y = 1x + 6,

y = x + 6.

Hence, the equation of the line passing through the points (0, 6) and (4, 10) is y = x + 6.

To learn more on equation click:

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When moving. it can often be a questionable matter to decide among moving luck companies. u haut currently charges $19.95 per day for a 10' moving truck and $0.59 per mie. imagine that another company you- haul, moves into the market anchoffes the same 10 truck for $70 per day. assume a one-day rental takes place. using systems of linear equations, anden what mileage conditions would it make make sense to choose one company over the other? o a mileage = 50.05 o b. mileage = 50 oc. mileage = 84.83 ос o d. mileage = 70 o e. mileage = 84.03 = .​

Answers

Answer:

Try to multiple 0.59x to $70, divide $19,95 to whatever answer u got from 0.59 to $70 then add 84.83334 and then there's your answer

Step-by-step explanation:

Done this and got right

Find the numerator ?/2 > 1/5

Answers

5/10. i hope that this helps!!

Round.............100pts

Answers

Answer: ≈ 4.

Step-by-step explanation: In order to solve this, you need to turn this into an addition problem.  In order to do that, we need to transform the 3 into a fraction:

3/1 + 175/349.

Solve:

3/1 + 175/349 = 3.50143266 or ≈ 4.

Have a great day! :)

Answer:

4

Step-by-step explanation:

Convert the mixed fraction into decimal form using a calculator

[tex]\rightarrow 3\dfrac{175}{349} = 3.501 \ \ \ \ \ \text{(Upto three dp)}[/tex]

Since the number in decimal form is about 0.002 more than 3.49, the number will round up to 4 (Nearest whole number).

Given that the measure of 2x is 45°, and the measure of zy is 499, find the
measure of z

Answers

Answer:

86 degrees

Step-by-step explanation:

The angles of a triangle all add up to 180.

x is 45 degrees

y is 49 degrees

49 + 45 = 94

180 - 94 = 86

The last angle of the triangle is 86 degrees. Since z is on the opposite side of it, it is equal to 86

How many nickels to make 20

Answers

Answer:

if you're talking 20 cents, then 4, if you're talking dollars, then 400.

tell me pls if you want an explanation.

Answer:

400 nickels

Step-by-step explanation:

How many nickels to make $20?

1 nickel = 5 cents ($0.05)

? nickels = $20

How many nickels make $1?

0.05x = 1

/0.05  /0.05

x = 20 <== 20 nickels make $1

How many nickels make $20?

20x = $20

20(20) = $20

400 = $20

This means that 400 nickels make $20

Hope this helps!

3 3/5 + 1 1/6 answer as a fraction

Answers

[tex]3 \frac{3}{5} + 1 \frac{1}{6} = \\ [/tex]

[tex] \frac{(3 \times 5) + 3}{5} + \frac{(1 \times 6) + 1}{6} = \\ [/tex]

[tex] \frac{15 + 3}{5} + \frac{6 + 1}{6} = \\ [/tex]

[tex] \frac{18}{5} + \frac{7}{6} = \\ [/tex]

[tex] \frac{18 \times 6}{5 \times 6} + \frac{7 \times 5}{6 \times 5} = \\ [/tex]

[tex] \frac{108}{30} + \frac{35}{30} = \\ [/tex]

[tex] \frac{108 + 35}{ 30} = \\ [/tex]

[tex] \frac{143}{30} \\ [/tex]

Trey decides to raise the price of his tomatoes from $5 a basket to $6 a basket. What is the percent of the increase?

Answers

Answer:

(6-5)/5=20% increase

Step-by-step explanation:

(-3, -2) (2, 1) Find the slope

Answers

Answer:

for just the slope its 3/5 or in decimal its .6

Step-by-step explanation:

y's on top x's on bottom

1--2

1+2=3

2--3

2+3=5

so slope is 3/5 or .6

Y2-Y1/x2-x1
Answer 3/5
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