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Given that a = 3.5 cm and b = 9.4 cm, work out the perimeter of the triangle.
Give your answer rounded to 1 DP.
a
b
The diagram is not drawn accurately.
Answers
Answer: 23 cm
Step-by-step explanation:
Given
[tex]a=3.5\ cm\\b=9.4\ cm[/tex]
Triangle in the figure is right-angled triangle. Therefore, Pythagoras theorem can be applied. Suppose the unknow length of the triangle is x
[tex]\Rightarrow x^2=a^2+b^2\\\Rightarrow x^2=3.5^2+9.4^2\\\Rightarrow x^2=12.25+88.36\\\Rightarrow x^2=100.61\\\Rightarrow x=10.03\ cm[/tex]
The perimeter of triangle is the sum of the lengths of sides.
[tex]\text{Perimeter }P=3.5+9.4+10.03\\\Rightarrow P=22.93\ cm\approx 23\ cm[/tex]
Related Questions
Which equation represents the line that is perpendicular to and passes through (-6,-9)?
A.
x = -9
B.
x = -6
C.
y = -9
D.
y = -4
Answers
Answer:
y = -9
Step-by-step explanation:
Complete question;
Which equation represents the line y = 1/4 that is perpendicular to and passes through (-6,-9)?
The equation of the line in point slope form is y-y0 = m(x-x0)
Given the equation y = 1/4, the slope of the line is zero
Substitute the slope and the point into the formula;
y -(-9) = 0(x-(-6)
y + 9 = 0
y = -9
Hence the required equation is y = -9
Answer:
C.y = -9Step-by-step explanation:
Grace’s garden is shown below. She is going to buy bags of soil that cover 75 square feet each. How many bags of soil will she need for her entire garden? Use 3.14 for pi.
A. 4 bags
B. 5 bags
C. 6 bags
D. 7 bags
Answers
Answer: C. 6 bags
Step-by-step explanation:
To solve this, you need to calculate the area of every shape in the garden and then sum them up.
Semi circle:
Area of semi-circle = (π * radius²) / 2
Radius = Diameter/ 2 = 18/2 = 9 feet
Area = (3.14 * 9²) / 2
= 127.17 ft²
Rectangle:
= Length * Width
= 18 * 8
= 144 ft²
Triangle
= 1/2 * base * height
= 1/2 * 18 * 18
= 162 ft²
Added up:
= 127.17 + 144 + 162
= 427.17 ft²
If each bag covers 75 ft² each, the number of bags needed is:
= Area to cover / Coverage per bag
= 427.17 / 75
= 5.7
= 6 bags
[tex]\sqrt{12} +9\sqrt{3\\}[/tex]
Answers
11 square root of 3 is the answer
Explanation:
A survey was conducted at a town hall meeting to determine if a new park should be built. Out of the 3,462 people surveyed, 1,468 people voted that the town should not build a new park.
Assuming the survey was random, what percentage of people in the town would likely vote in favor of the new park?
Enter your answer to the nearest percent in the box.
%
Answers
Answer: 58%
Step-by-step explanation:
Answer:
58%
Step-by-step explanation:
If 1468 weren't in favor of the new park, then 3462-1468=1996 people were in favor of the new park. This means the percentage of those who are in favor of the park is 1996/3462=0.5765=57.65%=58%
9272827292738hellp plssss
Answers
Answer: B. Each month, Zohal read more books than the month before
Step-by-step explanation: The bars went up each month getting higher and higher. Hope this helps!!
Answer:
B.
is the answer
hope it helprd
please help, will give brainliest if right!
Answers
Answer:
a
Step-by-step explanation:
What is the slope of the line that passes through the line
containing (-6, 1) and (4, 8)?
Answers
I hope it helps :)
Please need help, will give brainlist
Answers
Ms. Powell bought 12 cookies for $4.00 and Ms. Malley bought 8
cookies for $3.50. How much did each person pay for a cookie? And who
had the better deal?
Answers
Answer:
Ms. Powell paid around 33 cents for each cookie
Ms. Malley paid around 43 cents for each cookie
Ms. Powell had the better deal
Step-by-step explanation:
Divide the amount paid with the amount of cookies bought so 4 ÷ 12 = 0.3333... and 3.50 ÷ 0.4375...
I hope this helped!
1) Approximately ¢33 per cookie
2) Approximately ¢29 per cookie
Ms. Powell had a better deal
median of 22, 16, 14, 26, 32, 30
Answers
Answer:
15
Step-by-step explanation:
cancel out from the sides till you have 1 number in the middle but in this case we have 2 numbers.
in a case like that you add both numbers and divide by 2 to get your answer
so 16+14÷2= 15
Since there is an equal amount of numbers,6, you would need to take the average of the two numbers in the middle.
REMEMBER: always put it in ascending order first (0-10)
14, 16, 22, 26, 30, 32
Middle numbers are: 22 and 26
Take average: (22+26)/2 = 24
Therefore the median of this sequence is 24.
please help me out, i need it right now please.
Answers
What is the median of the following numbers: 9, 10, 4, 6, 3, 7, 8, 2, 5. 54 8 7 6
Answers
Henry takes out a $20,250 student loan to pay for college tuition this year. The interest rate he pays is 6% for 15 years. How much interest will he owe?
Answers
Answer:
$1215 x 15 = $18225 This is over 15 years.
find the area of the irregular figure. PLEASE!!
The sides are: 3 in, 4 in, 4 in, 5 in, 7 in, 9 in
geometry
Answers
Answer:
A = [84]in^2
Step-by-step explanation:
5 x 3 = 15
4 x 2 = 16
9 + 4 = 13 x 4 = 52
52 + 15 + 16 = 84in
A fan oscillates 250* and can be felt from a distance of 4 feet away . To the nearest tenth what area of the room can feel the wind from the fan? Use 3.14 for pi .
Answers
Answer:
[tex]A=256.67ft^2[/tex]
Step-by-step explanation:
From the question we are told that:
Fan oscillates [tex]\theta=250[/tex]
Distance [tex]d=>Raduis\ r=4 feet[/tex]
Since
[tex]250\textdegree =180\textdegree +70\textdegree[/tex]
Generally the equation for the area A is mathematically given by
[tex]Area=Area\ of\ semi\ circle\ + area\ of\ 70\textdegree sector[/tex]
[tex]A=A_{sm}+A_{70\textdegree}[/tex]
Where
[tex]A_{sm}=\frac{1}{2} \pi r^2[/tex]
[tex]A_{sm}=\frac{1}{2} 3.14 4^2[/tex]
[tex]A_{sm}=25.12ft^2[/tex]
[tex]A_{70\textdegree}=\frac{1}{2}r^2 \frac{70\textdegree}{360\textdegree}[/tex]
[tex]A_{70\textdegree}=\frac{1}{2}*4^2* \frac{70\textdegree}{360\textdegree}[/tex]
[tex]A_{70\textdegree}=1.55ft^2[/tex]
Therefore the area A is given as
[tex]A=A_{sm}+A_{70\textdegree}[/tex]
[tex]A=25.12ft^2+1.55ft^2[/tex]
[tex]A=256.67ft^2[/tex]
jordan has 10 ties, 3 suits, 5 belts, 8 shirts, and 4 pairs of shoes that he chooses from daily. How many different outfits can he put together?
Answers
Answer:
we can get 2 full outfits
HOPE IT HELPEDFactorize: ay - y - a + 1.
Answers
Answer:
I think the answer (A-1)(y-1)
Traveling 315 feet in seven minutes. Traveling per minute? how far would it be in 10 minutes?
Answers
Answer:
45 per minute. 450 in 10 minutes.
Step-by-step explanation:
Distance/ Time
315/ 7 = 45
Unit rate x how far you need to go
45 x 10 = 450
Answer:
450 ft
Step-by-step explanation:
315/7 = 45 (eveyr minute 45 ft)
10x45 = 450
A school survey found that 7 out of 30 students walk to
school. If two students are selected at random without
replacement, what is the probability that both students
walk to school?
49/90
49/900
7/30
7/145
Answers
Answer: 7/145
Step-by-step explanation:
The probability that the first student walks to school will be: = 7/30.
The probability of selecting the second student that walks to school will be: = 6/29.
Then we multiply both together and this will be:
= 7/30 × 6/29
= 7/145
Need help finding the length of AC
Answers
Answer:
I would have to say that the length of AC is 22.5
On a number line 8.29 would be located..... choose all answers that make the statement true
A)between 8 and 9
B) between 8.2 and 8.3
C) to the right of 8.39
D) between 8.28 and 8.30
Answers
Answer:
B and D
Step-by-step explanation:
D is being more detailed then A
Miguel went shopping for a new phone. The sales tax where he lives is 4%. What number should he multiply the price of the phone by to find the total plus tax in one step?
Answers
Answer:
A 0.4 as the tax percent.
Step-by-step explanation:
PLEASE I NEED THE ANSWER IN THE NEXT MINUTE
Answers
Answer:
Step-by-step explanation:
A
Answer:
96
Step-by-step explanation:
:)
5 athletes are in a 100k race. How many different ways can they finish based on their order.
Answers
Answer:
It's 120 different ways I think
Step-by-step explanation:
Please help! I'll give you brainliest if you get it right!
Write the piecewise function for the graph.
Answers
Answer:
In the picture
Step-by-step explanation:
First, find a function for each line.
-2x - 2 fits the green line because for every x value, y is -2(x) - 2.
2x + 1 fits the red line because for every x value y is 2(x) + 1.
You also need to include "if." -2x -2 if x < 0.
For the red line, the dot is closed so if x ≥ 0.
Reduce each of the following fractions to its simplest form. a. 12⁄18 b. 48⁄54 c. 27⁄90 d. 63⁄77 e. 24⁄32 f. 73⁄365
Answers
Answer: A. 2/3 B. 8/9 C. 3/10 D. 9/11 E. 3/4 F. 1/5
Step-by-step explanation:
Which equation has no real solutions?
A. B^2+3b=-3
B.2c^22+4c = 9
C. 5c^2 - C= -2
D. 7g +1+3g^2= 0
Answers
Answer:D
Step-by-step explanation:
You start at (9, 3). You move right 1 unit. Where do you end?
Answers
Answer:
(10, 3)
Step-by-step explanation:
What is the distance between the points (7, -3) and (-5, 6)?
Answers
Answer:
The distance between the two points is: √145≈12.04 to 2 decimal places.
Step-by-step explanation:
If using a grid it will make the answer easier to solve.
Answer:
21units
12 units + 9 units
HELP , TIMES ALMOST UP!!!!!!
Answers
Answer:
0.8660254 or √3/2
Step-by-step explanation:
Answer:
√3/2
Hope this helps