Find the length of the third side. If necessary, round to the nearest tenth. 6 5​

Find The Length Of The Third Side. If Necessary, Round To The Nearest Tenth. 6 5

Answers

Answer 1

Answer:

7.81

Step-by-step explanation:

Pythagorean theorem

[tex]\sqrt{6^{2} +5^{2} }[/tex]

[tex]\sqrt{61}[/tex]= 7.81

c = 7.81

Law of Cosines

[tex]c=\sqrt{b^{2} +a^{2}-2ba*cos(C) }[/tex]

[tex]c=\sqrt{6^{2}+5^{2}-((2*6*5)*cos(90)) }[/tex]

c = 7.81


Related Questions

Karen made 17-3 quarts of punch for her son and 11
her daughter. How many quarts of punch did she make in total?
115
quarts for

Answers

Answer:

186.3 quarts of punch

Step-by-step explanation:

175+11.3=186.3

It asks how much did she make in total, so you would need to add the 2 together to get the total. Hope this helps!!

WILL MARK BRAINLIEST FOR THE FIRST ANSWER! And I really need this answer quickly!!



Classify

Answers

Because {{{no}}} sides are marked as {{{congruent}}} in this figure, the classification {{{by}}}{{{ sides}}} is {{{scalene}}}.

What is the ratio of 0.09 to 2.7?

Answers

Answer:

Look at the relationship.

2.7 is 30 times larger than 0.09 (2.7 / 0.09 = 30)

So the ratio is 0.09:2.7 = 1 :30

a pharmacist found at the end of the day she had 7/4 as many prescriptions for antibiotics as tranquilizers. she had 77 prescriptions altogether. how many did she have for tranquilizers?

Answers

Answer:

44 tranquilizers

Step-by-step explanation:

The reciprocal of 7/4 is 4/7 so if you multiply 77 by 4/7 you will get 44.

what is the exponent on 10 when you write 41200 in scientific notation

Answers

Answer:

41200 in scientific notation = 4,1 . 10⁴

Answer:

The exponent is 4

[tex]4.12[/tex] × [tex]10^{4}[/tex]

Step-by-step explanation:

Hope this helps

Two squares have sides of 3 & 6. what is the ratio of their perimeter

Answers

Answer:

Step-by-step explanation:

Square with side (s) = 3

P = 4s        

s = 3

P = 4*3

P = 12

Square with side (s) = 6

P = 4s

s = 6

P = 4 * 6

P = 24

Answer

It is asking for the ratio of P(with side = 3)/ to P(with side = 6)

P(3) /P(6) = 12/24 = 1/2s(3) / s(6) = 3/6 = 1/2

So the perimeter ratio is 1/2

The side ratio is 1/2

They are the same.

A boat has a speed of 18 km/hr in still water. In a particular river, it takes 2 hours more to go 32 km upstream than to return to the same spot. What is the speed at which the water is flowing in the river?

Answers

Step-by-step explanation:

I wrote the answer on the paper

3y +2x - 1, when y = 4 and x = 5

Answers

Answer: 21

3(4) + 2(5) - 1 = 21

After speaking with a Fisker representative, Eddie asks about a leasing option. He is offered a three year lease with payments of $415 plus $2000 payment at the beginning of the lease. What is the total cost of the lease?

Answers

Answer:

$3,245

Step-by-step explanation:

Assuming that the $415 is paid yearly, Eddie has to pay a total of $3,245.

2,000 + (415 x 3)

2,000 + 1,245

2,000 + 1,245 = 3,245

help?? and what do I shade lol​

Answers

Answer:

3657$

Step-by-step explanation:

You're supposed to enter numbers there I believe, in which case if 23 people payed 159 dollars for a ticket each that would be an equation that looks something like 159*23 which would bring you to the answer of 3657. maybe just put 0s in the first 2 boxes to fill it out.

Is -51/5 rational or irrational

Answers

Answer:

irrational

Step-by-step explanation:

Hannah's bill at the restaurant $37.26 she left a tip of 18% what was the tip amount please round your answer to the nearest hundredth.

Answers

Answer:

6.71

Step-by-step explanation:

It would be 37.26*18/100.

so, around 6.71

part b would be 37.26+6.71=$43.97

Answer:6.71

Explanation: 18% is the same thing as 0.18 and so when you multiply 0.18 by 37.26 you get 6.7068 which rounds to the nearest hundredth is 6.71 because 6 is greater than 5

Marina babysits her neighbors' kids once a week and earns $40 each night. She loves coffee so she treats herself three times a week by buying a $5 latte at her favorite coffee shop. Marina wants to buy a new laptop for herself which will cost $800 and has already saved $200. If she continues her spending habits, how many months will it take Marina to save enough money to buy the laptop?

Answers

Answer:

24weeks

Step-by-step explanation:

So if she spends 5$ three times a week she spends 15$ a week

She babysits once a week for 40$

That means that she saves 25$ from babystitting each week

As she already has saved 200$, she only lacks 600$ for the purchase

600$ / (25$/week) = 24 weeks

If she stops buying coffee it will instead only take her 15 weeks to buy a new laptop

Help asap

what is the measure of angle dgv?

enter your answer in the box

Answers

The measure of angle MBT as shown in the diagram is 28 degrees.

What is an angle?

An angle is formed from the intersection of two or more lines. Types of angles are obtuse, acute and right angled.

From the diagram:

∠MBN = ∠MBT

17x - 6 = 5x + 18

x = 2

∠MBT = 5(2) + 18 = 28 degrees

The measure of angle MBT as shown in the diagram is 28 degrees.

Find out more on angle at: https://brainly.com/question/25770607

write an equation of the line with the given conditions (2,1); slope 0

Answers

Answer:

point slope form: y-1=0(x-2) or Slope-Intercept form: y=x-1

Step-by-step explanation:

Ollie has installed security lights on the side of his house that are activated by a sensor. The sensor is located at point C directly above point D. The area covered by the sensor is shown by the shaded region enclosed by triangle ABC. The distance from A to B is 4.5 m and the distance from B to C is 6 m. Angle AĈB is 15°.

Answers

Answer:

20.19°

Step-by-step explanation:

Find the diagram to the question attached. We are to look for <CAB

Applying sine rule on ΔABC:

[tex]\frac{4.5}{sin15^0} = \frac{6}{sin<CAB}[/tex]

cross multiply

[tex]4.5 * sin<CAB =6 sin15^0\\\\sin<CAB = \frac{6sin15^0}{4.5}\\ \\sin<CAB = \frac{6*0.2588}{4.5}\\ \\sin<CAB = \frac{1.5529}{4.5}\\\\sin<CAB = 0.3451\\\\<CAB = sin^{-1}0.3451\\[/tex]

[tex]<CAB = 20.19^0\\[/tex]

Hence the angle <CAB is 20.19°

The angle ∠CAB is 20.19° and the distance (d) Ollie is from the entrance to his house when he first activates the sensor is 5.77 m.

What is trigonometry?

Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.

Ollie has installed security lights on the side of his house that is activated by a sensor.

The sensor is located at point C directly above point D.

The area covered by the sensor is shown by the shaded region enclosed by triangle ABC.

The distance from A to B is 4.5 m and the distance from B to C is 6 m.

The angle ACB is 15°.

The ∠CAB is ∠A.

We know that the sine rule

[tex]\dfrac{a}{\sin A} =\dfrac{b}{\sin B} = \dfrac{c}{\sin C}[/tex]

We have

[tex]\dfrac{AB}{\sin C} \ \ = \dfrac{BC}{\sin A} = \dfrac{AC}{\sin B}\\\\\\\dfrac{4.5}{\sin 15^o} = \dfrac{6}{\sin A} = \dfrac{b}{\sin B}[/tex]

From the first two, we have

[tex]\dfrac{4.5}{\sin 15^o} = \dfrac{6}{\sin A} \\\\\sin A = \dfrac{6}{4.5} \times \sin 15^o\\\\A \ \ \ \ = 20.19^o[/tex]

We know that the sum of the angle is 180 degrees. Then we have

    ∠A + ∠B + ∠C = 180°

20.19° + ∠B + 15° = 180°

                      ∠B = 144.81°

Then the value of b will be

[tex]\dfrac{4.5}{\sin 15^o} = \dfrac{b}{\sin 144.81^o}\\\\\\b \ \ \ = 10.02[/tex]

Then the distance (d) Ollie is from the entrance to his house when he first activates the sensor will be

d = b × sin 144.81°

d = 10.02 × sin 144.81°

d = 5.77 m

More about the trigonometry link is given below.

https://brainly.com/question/22698523


2. Find the surface area of the following figure.
8 km
-3+3.5)
8 km
tis)
7 km
8 km
8 km

Answers

Answer:

344

Step-by-step explanation:

First we are going to find the area of the top and bottom

8x8=64. Since the top and bottom are the same, we can do 64x2=128.

Now we are going to find the area of the left and right sides.

8x7=54. Since the right and left are the same, we can do 54x2=108.

Now we are going to find the area of the front side and the back side.

8x7=54. Since the front and back are the same, we can do 54x2=108.

Now we add our answers up. 128+108+108=344

If the diagonals in a rhombus are 8 and 6 then the perimeter is
a) 16
b) 18
c) 20
d) 22

Answers

Answer:

20 (units)

Step-by-step explanation:

If the diagonals in a rhombus are 8 and 6 then the perimeter is

a) 16

b) 18

c) 20

d) 22

the regular rhombus is formed by 4 right triangles, 1/2 of the diagonal is the cathetus.

8 : 2 = 4

6 : 2 = 3

find with Pythagoras the side of the rhombus

s = √(4² + 3²)

s = √(16 + 9)

s = √25

s = 5

now we find the perimeter by adding the 4 sides

5 + 5 + 5 + 5 = 20

please help ♥️♥️♥️♥️

Answers

please help ♥️♥️♥️♥️

haha lol

PLEASE HELP!!!OR I WILL GET SIELNT LUNCH.7th GRADE LEVEL HOMEWORK
1 QUESTION.

Answers

The answer to this problem is A

Given that y = 7 cm and I = 37°, work out I rounded to 1 DP.
у
x
09
The diagram is not drawn accurately.


Answers

Step-by-step explanation:

simply use trigonometric formula

sin (x)= perpendicular/ hypotenuse

Harold bought an antique clock for £1200 The clock increased in value by 8% per year. Find the value of the clock exactly 3 years after Harold bought the clock. Give your answer correct to the nearest £. £.........​

Answers

Answer:

1200times 3 =4800 thanks for asking

Marshall works at an animal shelter. He makes sure all the cats are vaccinated. In July, 56 of the cats entering the shelter had already been vaccinated. Based on this result, he predicts that if 100 cats entered the shelter, 80 of the cats would have already been vaccinated. How many cats entered the animal shelter in July?

Answers

Answer: 70 animals

Step-by-step explanation:

Since Marshall predicted that if 100 cats entered the shelter, 80 of the cats would have already been vaccinated . This means that 80/100 = 4/5 of the animals that enter the shelter are vaccinated.

Let the animals that enter in July be y. This will be:

4/5 × y = 56

0.8y = 56

y = 56/0.8

y = 70

70 animals entered in July

Can someone help me with 9a+3a+b-3a for homework?

Answers

Answer:

9a+b

Step-by-step explanation:

4. Is the following triangle truly a right triangle? (HINT: Does a^2 + b^2 = c^2?
25 points

TRUE, the Pythagorean Theorem is satisfied
FALSE, the Pythagorean Theorem is not satisfied

Answers

Answer:

not a right triangle in maths

Step-by-step explanation:

FALSE, the Pythagorean Theorem is not satisfied

but true in real life, i mean the shape

if a number is tripled, it gives the same result as when 28 is added to it.find the number

Answers

Answer:

14

Step-by-step explanation:

let the number be y

if y is tripled we get 3y

3y = 28 + y

3y - y = 28

2y = 28

y = 14

Answer:

14

Step-by-step explanation:

Let the number be x.

Base on the given

↓ Equation ↓

3x=x+28

Solve:

3 x - x = 28

2 x = 28

x = 28/2

x = 14

Thus, The number is 14.

[RevyBreeze]

Sal was asked by his teacher to
compare the numbers 153.098 and
153.408. Which is the correct way to
compare these two numbers?
A. 153.098 > 153.408
B. 153.098 = 153.408
C. 153.408 < 153.098
D. 153.408 > 153.098

Answers

Answer:

153.098

153.408

When we look at these numbers, we want to see which one has the greatest digit.

Shown below, I'm going to compare both numbers and start from the hundreds place and gradually go further into the other digits until we've seen which number is the greatest.

153.098:

1

153.408:

1

153.098:

15

153.408:

15

153.098:

153

153.408

153

153.098:

153.0

153.408

153.4

Now, we can automatically know that 153.408 is the greatest because the 4 in the tenths place is bigger than 0 in the tenths place in the other number.

So 153.408 > 153.098, D is your answer.

Part 3: Construct a prism from the above regular hexagon. The height of the hexagonal prism is 5 feet. Find the surface area and the volume of this prism.

Answers

The volume of the hexagonal prism is the amount of space in it.

The surface area is 369.9 square feetThe volume is 831.4 cubic feet

How to determine the surface area?

From the complete question, we have:

Length (l) = 8

Height (h) = 5

The surface area of the hexagonal prism is:

[tex]A=6lh+3l^2\sqrt 3[/tex]

So, we have:

[tex]A=6*8*5+3*5^2\sqrt 3[/tex]

Evaluate

[tex]A = 369.9[/tex]

Hence, the surface area is 369.9 square feet

How to determine the volume?

The volume of the hexagonal prism is:

[tex]V = \frac{3\sqrt 3}{2} * l^2h[/tex]

So, we have:

[tex]V = \frac{3\sqrt 3}{2} * 8^2 * 5[/tex]

Evaluate

[tex]V = 831.4[/tex]

Hence, the volume is 831.4 cubic feet

Read more about surface area and volume at:

https://brainly.com/question/13175744

(8r^2-12r+4)-(3r^2+5r-1) in standard form

Answers

Answer:

[tex]=5r^2-17r+5[/tex]

Step-by-step explanation:

[tex]\mathrm{Apply\:rule}:\quad \left(a\right)=a[/tex]

[tex]\left(8r^2-12r+4\right)=8r^2-12r+4[/tex]

[tex]=8r^2-12r+4-\left(3r^2+5r-1\right)[/tex]

[tex]\mathrm{Apply\:the\:distributive\:law}:\quad \:-\left(a+b\right)=-a-b[/tex]

[tex]-\left(3r^2+5r-1\right)=-3r^2-5r+1[/tex]

[tex]=8r^2-12r+4-3r^2-5r+1[/tex]

[tex]\mathrm{Group\:like\:terms}[/tex]

[tex]=8r^2-3r^2-12r-5r+4+1[/tex]

[tex]\mathrm{Add\:the\:numbers:}\:4+1=5[/tex]

[tex]=8r^2-3r^2-12r-5r+5[/tex]

[tex]\mathrm{Add\:similar\:elements:}\:8r^2-3r^2=5r^2[/tex]

[tex]=5r^2-12r-5r+5[/tex]

[tex]\mathrm{Add\:similar\:elements:}\:-12r-5r=-17r[/tex]

[tex]=5r^2-17r+5[/tex]

Please help me out, I need help.

Answers

Answer:

D (-1,-3)

Step-by-step explanation:

If h(x)=-3x-6, plug in for x

-3 =-3(-1)-6

-3=3-6

-3=-3

so two negatives cancel out and get you the positive three minus six, resulting in negative 3, which is also the h(x) value.

Answer:

D

Step-by-step explanation:

Plug it in

Y=3x-6

-3=-3(-1)-6

-3=-3

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