Mathematics High School

Calculate the perimeter of ABCD.
B
+
6 cm
950
8 cm
5 cm
C

Calculate The Perimeter Of ABCD.B+6 Cm9508 Cm5 CmC

Answers

Answer 1

Answer:

The perimeter is 28.13 cm

Step-by-step explanation:

We connect a line from A to C

we can use the cosine rule to find the length AC

let us call it x

AC^2 = AB^2 + BC^2 - 2(AB)(BC) cos B

we have this as;

x^2 = 6^2 + 8^2 - 2(6)(8) cos 95

x^2 = 36 + 64 + 8.37

x^2 = 108.37

x = √108.37

x = 10.4 cm

AC = 10.4 cm

now, let us look at triangle ADC Where we have AC as the hypotenuse as it is the side facing the right angle

We can use Pythagoras’ theorem to get the value of CD

We have it that the square of the hypotenuse AC is the sum of the squares of the two other sides

let DC be y

10.4^2 = 5^2 + y^2

y^2 = 108.37 - 25

y^2 = 83.37

y = √83.37

y = 9.13 cm

The perimeter of the shape is the sum of all its sides

so we have;

AB + BC + CD + AD

= 6 + 8 + 9.13 + 5

= 28.13 cm

Related Questions

There are five 6-inch sticks and five 10-inch sticks. These sticks can be attached end-to-end to make longer sticks. For example, you can take two 6-inch sticks and one 10-inch stick to make a 22-inch stick (6 + 6 + 10 = 22).How many different lengths of stick can be made out of at least one of the sticks?

Answers

if you divide all of them together starting inside of the parentheses you will get the wrong answer bc I’m just typing random thing

Which expression is equivalent to?

Answers

I think it is the third one from the top

convert 2 3/4 into a improper faction ​

Answers

Answer:

11/4

Step-by-step explanation:

2 times 4 equals 8 and plus 3 equals 11 and dem is 4 so 11/4

Answer:

[tex]\frac{11}{4}[/tex]

Step-by-step explanation:

[tex]2\frac{3}{4}[/tex]

To get an improper fraction do the multiply and add shortcut.  Do the denominator times the whole number ( 2 x 4).  You will get 8, next add 8 with 3.  You still keep the denominator, so your final result is [tex]\frac{11}{4}[/tex]

Y=x (58 power) /5
solve for y

Answers

Answer:

y = x^58/5

Step-by-step explanation:

Nothing further can be done with this topic. just remove the parentheses and it becomes x^58 and u cannot dive because they’re like terms

- IZ
- -
M = 9
7. Carlene has $300 in her wallet but she doesn't realize that she has a hole in her wallet!
Every step she takes, she loses five dollars. How far will she walk before she only has $150 left
in her wallet? Write a sentence explaining your solution.
Click to add text
Explanation:
ick to add speaker notes

Answers

Step-by-step explanation:

Subtract initial amount (300) and final (150). from there you get 150 dollars that was lost. We know that every step you 5 dollars so then divide 150 and 5 to get 30. So the distance was 30 steps.

Evaluate the function. f(x)=-4x^2+10 find f(-2)

Answers

Answer:

[tex]f(-2)=-6[/tex]

Step-by-step explanation:

[tex]f(x)=-4x^{2} +10[/tex]

At x=-2

[tex]f(-2)=-4(-2)^{2} +10[/tex]

[tex]f(-2)=-4(4) +10[/tex]

[tex]f(-2)=-16 +10[/tex]

[tex]f(-2)=-6[/tex]

help please !! easy question i believe :))

Answers

Solve for x given two sides

Solution

x is an angle hence we are gonna use the formula Sin

Sin 0 = opp/hyp

0 represents theta.


Sin 0 = opp/hyp
Sin 0 = 27/33

Put 27/33 in decimal form

= 0.8181

Transpose to make 0 the subject


Sin 0 = 0.8181

0 = Sin-1 0.8181

When adding Sin from one side to another it becomes Sin inverse.

0 = Sin-1 08181

Now we find the answer

0 = Sin-1 0.8181

= 54.89 degrees

Therefore x is equal to 54.9 to the nearest tenth.

Rewrite in y=mx+b form
- (y + 2) = 2(2x + 1)

Answers

Answer:

y=-4x-4

Step-by-step explanation:

Answer:

y=-4x+4

Step-by-step explanation:

Use order of operations, PEMDAS, to put it in y=mx+b form.

Find the missing side length

Answers

B.4 because if you divide 30 by 6 you get 5 so if you do 20/5 you get 4

can someone help me out here pls?
how much butter is needed to make a cake for 10 people
ingredients for 4 person cake
'80g plain flour'
'60g almonds'
'90g brown sugar'
'60g butter'

Answers

150g bc 60/4 = 15, 15 x 10 = 150g (PLS MARK AS BRAINLIEST) :))

i need to drag one into the box to match them

Answers

Answer:

54÷9 = 6 so for the second box is 6 hot dogs per person

54÷27= 2 third box is 2 hot dogs per person

54÷54= 1 fourth box is 1 hot dog per person

pls help due asap
thanks

Answers

Answer:

D) CE=10

Step-by-step explanation:

FG=6x-7

CE=18-4x

2FG=CE

2(6x-7)=18-4x

12x-14=18-4x

simplify

16x=32

x=2

substitute

CE=18-4(2)

CE=18-8

CE=10

Answer:

I don't understand what you're trying to ask the picture is blurry

A new watch costs $120 at the store. If it goes on sale for 75% off and has a sales tax of 6%, what is the final cost of the watch?

Answers

The final cost is $ 100

Write 2/3 and 3/4 as equivalent fractions using a common denominator.

Answers

Answer:

8/12 and 9/12

Step-by-step explanation:

answer
8/12 and 9/12
step by step

Help me out please and thank you ;)

Answers

Answer : d
Explanation:
Shoe size and letters in your name have nothing to do with each other
Done it before, the answer is D

Find the Measure of the missing angles.

49°

118

73

Measure angle 1 =

Measure angle 2-

Measure angle 3=.

Answers

Answer:

Find the Measure of the missing angles.

49°

118

73

Measure angle 1 =

Measure angle 2-

Measure angle 3=.

Step-by-step explanation:

rewrite using addition. 3(-17) explain

Answers

Answer:

-17 + -17 + -17

Step-by-step explanation:

Add -17 three times

Answer:

+ (-17) + (-17) + (-17)

-17 - 17 -17

-51

Classify this triangle by its sides?

Answers

Answer:

Scalene

Step-by-step explanation:

First option, scalene

1 and 2 is all I need and you guys would help me from not getting beat

Answers

Answer:

1. -10

2. -11

Step-by-step explanation:

if Maya drove 30 laps in six minutes how many laps did she drive in one minute

Answers

Answer:

5 laps in one minute.

Step-by-step explanation:

1. Divide 30, the number of laps, by 6, the number of minutes. So, for every 1 minute Maya drives on lap.

Change 430 centimetres into metres

Answers

4.3m
hope that helps
PLS HELP ME ASAP I DONT HAVE TIME. IT ALSO DETECTS IF ITs RIGHT OR WRONG. PLS HELP ME ASAP I DONT HAVE TIME. IT ALSO DETECTS IF ITs RIGHT OR WRONG.

I REALLY NEED HELP PLEASE ANSWER!!!!!

Answers

Answer:

an equation would be 2 + 2 = 4

Hope this helps

Step-by-step explanation:

the equation is 2+2 is 4

Please help, I will be giving brainlist.

Answers

Answer:

b

Step-by-step explanation:

Answer:

o B 6 inches.

Step-by-step explanation:

Proportions:

13 in ⇔  9.75 in

8 in  ⇔   X  in

X = 8*9.75/13

X = 6 in

Part 1: Check your work now. Use the substitution
method to check when h= 5 will it make this equation
true?
8h + 5 = 6h + 15
Part 2: How much money do both Diego and Jazzy
make after working 5 hours? (Write in complete
sentences)

Answers

Answer:

For part 1, it is true.

2h = 5 x 2 = 10

5 + 10 = 15

For part 2, I don't what your referring to, is it the 8h + 5 = 6h + 15?

Answer:

8h +5=6h+15

8 x 5 + 5= 6 x 5 +15

35= 50

= 35/50

= 7/10

Kelsey knit a total of 6 centimeters of scarf over 2 nights. After 4 nights of knitting, how many centimeters of scarf will Kelsey have knit in total? Assume the relationship is directly proportional.

Answers

Answer:

[tex]12[/tex] cm

Step-by-step explanation:

If Kelsey knit a total of [tex]6[/tex] cm of scarf over [tex]2[/tex] nights, then we know that she can knit [tex]\frac{6}{2}=3[/tex] cm each night. Therefore, after [tex]4[/tex] nights of knitting, Kelsey would have knit a total of [tex]3*4=12[/tex] cm of scarf in total. Hope this helps!

Solve 6 - 5x = 7 + 3x

Answers

Answer:

hol up

x=-1/8  negative one over eight

Step-by-step explanation:

what the square root of 2000

Answers

Answer:

44.7213595

Step-by-step explanation:

I need to write something here apparently

Evaluate the expression when b=-6 and y=4.
b-6y

Answers

-6 - 6(4)
-6 -24 = -30
So -30 is ur answer :)) hope I helped
-6-6(4)
Multiply -6(4)= -24
-6-24
Add the negatives -30
Answer: -30

GIVING BRAINLIEST Cattails thrive in places where there is plenty of water year-round. Which event might limit a cattail population? A.Drought B.Rainy spring C.Thunderstorm D.Eclipse

Answers

Answer:

A. Drought, this is when the land is dry and no water is around essentially.

Answer:

The answer is drought. I took the test.

what is 65% of 80 ??????????????

Answers

Answer:

Step-by-step explanation:

65% of 80 is

65*80/100=52

Answer:

52

Step-by-step explanation:

Calculate percentage:

'Percentage' is obtained by multiplying 80 by 65%.

65% × 80 =

(65 ÷ 100) × 80 =

(65 × 80) ÷ 100 =

5,200 ÷ 100 =

52

Checking:

How do we check the result?

If 65% × 80 = 52 =>

Divide 52 by 80...

... And see if we get as a result: 65%.

Calculate the percent value:

52 ÷ 80 =

0.65 =

0.65 × 100/100 =

(0.65 × 100)/100 =

65/100 =

65%

Other Questions
Round the numbers to the nearest 1000468212336156500 3. A population of 70 jaguars lives in a rainforest measuring 350 square miles. What is the populationdensity of the jaguars? (Hint: You cannot have a fraction of a jaguar) Irregular affirmative Tu commands, help. Which function has a domain of all real numbers? Match the vocabulary term to the correct definition. 1. the complete set of hereditary instructions contained in the DNA chromosome 2. important biological molecules with a complex folded structure genome 3. structure found in the cell that contains tightly wound strands of DNA proteins 4. a sequence of nucleotides in a strand of DNA that code for a specific product, which is usually protein gene Does being fair mean you always treat people equally? please help me please will give brainliest to anyone who is good please read it carefully What treaty organization is created on April 4, 1949? What are the two types of visible-light telescopes? When was Helen Keller born and when did sh en die A compound is made of 6.00 grams of oxygen, 7.00 grams of nitrogen, and 20.00grams of hydrogen. Find the percent composition of the compound.A O-18.18%, N-21.21%, H-60.60%B O-11.18%, N-22.21%, H-69.60%C O-20%, N-30%, H-50%D O-60.60%, N-21.21%, H-18.18% calculate the unit rate of change for each linear function using the formula. (4,9) (8,12) (16,18) (32,30) 6 Which expression below has a coefficient of 3?A. 5x + 9B. 2x-3C. 28? + 3x 6gx+4( IS IT A. B. C. or D.?) Noor, Layla, and Diego play a trivia game. Noors score is -2. Laylas score is 3/4 of Noors score. Diegos score is 2/3 of Laylas score. What is Diegos score? I NEED HELP!It explains in the image. Help Im bad at spanish A rectangular room measures 21 feet by 28 feet with a 10-foot-high ceiling. The flooring is being replaced with carpeting that sells for $10.45 per square foot and entails a $149 installation fee. What is the total pricing for the carpeting with an 8.0% sales tax What is the distance between point (8,4) and point (3,2) rounded to the nearest tenth? HELP ASAPWhich answer best uses precise language to revise the italicized section ofthis passage?One way to reduce household garbage is to separate food scraps andother organic materials and turn them into compost. Composting is agood thing with useful results. By turning kitchen waste into compost,we can reduce the volume of trash we send to landfills.A. Composting is a process that may be unfamiliar but is actuallytotally natural.B. Composting is an advantageous endeavor consistent with a time-honored procedure resulting in a biological by-product.C. Composting is a natural process that breaks down organic matterand turns it into soil.D. Composting is a positive activity that makes the Earth a betterplace. Human growth hormone (HGH) is necessary for growth during human adolescence. Pituitary dwarfism is a condition that results from the inability of a person to produce HGH. Luckily, the human gene for HGH can be inserted into E. coli bacteria, which are able to make our HGH. The resulting HGH is used by people who are unable to make their own. What property about hereditary information makes this possible