Two side lengths of a triangle measure 8
cm and 15 cm. Select all measurements that could be the length of the third
side of the triangle.
A) 23 cm
B) 7 cm
C) 8 cm
D 30 cm
E) 16 cm
F) 20 cm
G) 12 cm
H) 15 cm

Two Side Lengths Of A Triangle Measure 8cm And 15 Cm. Select All Measurements That Could Be The Length

Answers

Answer 1

Answer:

Correct option is C)

⇒  The sum of the lengths of any two sides in a triangle is always greater than the length of the third side in the triangle.

⇒  The differnce of the lengths of any two sides in a triangle is always lesser than the length of the third side in the triangle.

⇒  The difference between 4cm and 7cm is

3cm and their sum is 11cm.

⇒  To ensure that the above mentioned rule is not violated, the possible length of the third side has got to be greater than 3cm and lesser than 11cm.

⇒  So from the given options 6cm is less than

11cm and greater than 3cm

∴  The length of the third side of triangle is 6cm

Step-by-step explanation:


Related Questions

Wanda is working on her predictions for the next few days. She calculates that there is a 20% chance of rain on Monday and a 20% chance onf rain on Tuesday. If she is correct, what is the probability that it will rain on at least one of these days?

Answers

Answer:

the answer is that 20% plus 20% equals to 40% and the probability it will rain on at least one of those days is 40% or 2/5

PLS HELP ME I NEED TO TURN THIS IN

Answers

Answer:

150 tablets.

Step-by-step explanation:

20% of 500 is 100, so there was 100 desktop computers. Than, half of the devices were laptop computers, being 250. Than you add 100 and 250 to get 350. Than subtract 350 from 500 and you get 150.

Jerry is running a race. He knows he can run 44 feet in 3 seconds. If he maintains this rate, how many miles will he run in 1 hour?

Answers

Step-by-step explanation:

44 ft in 3 seconds

in 1 hour there are 60 minutes with 60 seconds each.

so, 1 hour = 60×60 = 3600 seconds.

in 3600 seconds there are

3600 / 3 = 1200 "packages" of 3 seconds.

so, Jerry would run

1200 × 44 = 52800 ft in 1 hour.

there are 5280 ft in 1 mile.

that means Jerry would run

52800 / 5280 = 10 miles in 1 hour.

Answer correctly and i give you brainliest

Answers

Answer:

B.

Step-by-step explanation: The answer is b because 65.04 is the answer we get from finding the difference of those irregular triangles and the circle.

P.S. They must be done seperately.

-4x + 7 > x - 13 Graph the solution to this inequality on the number line

Answers

Answer:

x < - 4

Step-by-step explanation:

Draw a number line and find -4 then graph it

What is the combined length of all the buttons longer than 1 inch?


Answers

Not enough data to answer that question. How many buttons are longer than 1 in and what is their length. Add all of the button’s lengths together if they are greater than one inch in length.

PLEASSEWEEEEEEEEEEEEEEEEEEEEEEEE

Answers

Answer:

46 square inches

Step-by-step explanation:

Surface Area = 2×(5×3 + 5×1 + 3×1)

Kiran bent some wire around a rectangle to make a picture frame. The rectangle is 8 inches by 10 inches. what is the perimater

Answers

Answer:

62.8 inches

.Step-by-step explanation:

The wire consists of 14 semicircle + 4 3/4 circles. The diameter of each circle = 8 / 4 = 2 inches.Length of a semicircle = 1/2 * pi * diameter and of a 3/4 circle it is 3/4 * pi * diameter.So the perimeter of the wire= 14 * 1/2 * 3.14 * 2 + 4 * 3/4 * 3.14 * 2= 14 * 3.14 + 4 * 3/2 * 3.14= 62.8  inches.

Answer:

62.8 inches

Step-by-step explanation:

= 14 * 1/2 * 3.14 * 2 + 4 * 3/4 * 3.14 * 2

= 14 * 3.14 + 4 * 3/2 * 3.14

= 62.8  inches.

from 2001 to 2012 the sales for a local doughnut store increased by about the same percent each year. The sales, S, for year t can be modeled by, S=372,300(6/5)^t. Where t=0 corresponds to 2001. What were the sales in 2001​

Answers

Using the given exponential function, it is found that the number of sales in 2001 was of 327,300.

What is the exponential function in this question?

It models the number of sales S in t years after 2001, given by:

[tex]S(t) = 372300\left(\frac{6}{5}\right)^t[/tex]

2001 is year 0, hence the amount is given by S(0), that is:

[tex]S(0) = 372300\left(\frac{6}{5}\right)^0 = 372300[/tex]

The number of sales in 2001 was of 327,300.

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If cos A = k, then the value of the expression (sin A)(cos A)(tan A) is equivalent to:
1). 1
2). 1/k
3). k
4). k²

Answers

Answer:

[tex](\sin A)(\cos A)(\tan A)=1-k^2[/tex]

Step-by-step explanation:

[tex]\textsf{Trig identity}: \quad \tan A=\dfrac{\sin A}{\cos A}[/tex]

[tex]\begin{aligned}\implies (\sin A)(\cos A)(\tan A)& =(\sin A)(\cos A)\dfrac{(\sin A)}{(\cos A)}\\\\& =\dfrac{(\sin A)(\cos A)(\sin A)}{(\cos A)}\\\\& =\sin^2 A\\\end{aligned}[/tex]

[tex]\begin{aligned}\textsf{Trig identity}: \quad \sin^2 A + \cos^2 A &=1\\\implies \sin^2 A & =1-\cos^2 A\end{aligned}[/tex]

[tex]\implies (\sin A)(\cos A)(\tan A)=1-\cos^2 A[/tex]

If [tex]\cos A=k[/tex] then:

[tex](\sin A)(\cos A)(\tan A)=1-k^2[/tex]

The value of the expression (sin A)(cos A)(tan A) is equivalent to[tex]1 - k^2[/tex], which corresponds to option 4). k².

How to determine the value of the expression (sin A)(cos A)(tan A) is equivalent

Let's use the trigonometric identity: tan A = (sin A) / (cos A).

Given cos A = k, we can find sin A using the Pythagorean trigonometric identity:[tex]sin^2 A + cos^2 A = 1.[/tex]

[tex]sin^2 A + k^2 = 1[/tex]

[tex]sin^2 A = 1 - k^2[/tex]

sin A = √(1 - [tex]k^2[/tex])

Now, the expression (sin A)(cos A)(tan A) is:

(sin A)(cos A)(tan A) = (√(1 - [tex]k^2[/tex]))(k)((√(1 -[tex]k^2[/tex]))/k)

Now, we can cancel out the common terms:

(sin A)(cos A)(tan A) = (√(1 - [tex]k^2[/tex]))(√(1 - [tex]k^2[/tex]))

Taking the square root of the product:

(sin A)(cos A)(tan A) = √((1 -[tex]k^2[/tex])(1 - [tex]k^2[/tex]))

(sin A)(cos A)(tan A) = √((1 -[tex]k^2[/tex][tex])^2[/tex]

(sin A)(cos A)(tan A) = [tex]1 - k^2[/tex]

So, the value of the expression (sin A)(cos A)(tan A) is equivalent to [tex]1 - k^2[/tex], which corresponds to option 4). k².

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Sammy was playing Games with Alex. The ratio of games Sammy won was to the number of games Alex won was 9 to 5. If Sammy won 36 games, how many games did Alex win?

Answers

alex won 20 games / 36 to 20 / 9 to 5 / (4)

What is the slope of the line?

Answers

Answer:

-3

Step-by-step explanation:

First, let's remind ourselves the definition of a slope.

Slope = rise/run OR the height from one point to another/ the distance from one point to another.

First, let's find two points on this graph that are marked easily.

One point that can be found is (0, -3) and the other is (0, -1).

Let's apply our formula to these points!

<------- Starting from point (0, -3), we are RISING 3 points and RUNNING -1 points.

Rise         3

-------  =  ----------  

Run           -1

3/-1 = -3

The slope of the line is -3.

Answer:

-3.

Step-by-step explanation:

1) to choose two points on the given line on the graph. For example, A(-2;3) and B(-1;0);

2) to calculate the required slope according to the rule:

[tex]slope=\frac{Y_B-Y_A}{X_B-X_A};[/tex]

3) the required slope:

slope=-3/1=-3.

Find the slope on any given line please see attached photo

Answers

Answer:

-5/4

Step-by-step explanation:

Count down 5 units and then count right 4 units in order to get negative 5 over 4.

Energy for both renewable and nonrenewable sources originally comes from
A. Oil
B. Earth's core
C. fossil fuel
D. the sun

Answers

Answer:

d

Step-by-step explanation:

the sun is the primary source

P(S) = 5/8
P(T) = 1/8
If S and T are mutually exclusive events, find P(S or T),

Answers

Answer:

P(S ∪ T) = 3/4

Step-by-step explanation:

Given:

P(S) = 5/8P(T) = 1/8

For mutually exclusive events S and T,

P(S ∪ T) = P(S) + P(T)

Therefore,

P(S ∪ T) = (5/8) + (1/8)

              = 6/8

              = 3/4




Brad began working on a project at 10:15 A.M. He finished the work at 5:08 P.M.
How long did it take Brad to complete the project?

Answers

Answer:

It is a good idea to convert the times into internation time

thus, 5:08 becomes 17 08

Substraction:

17 08 - 10 15

= 16 68 - 10 15 ( I took one hour from 17 and added 60 minutes to 08)

= 6 53

he worked 6 hr 53 mins

What is the perimeter of the rectangle in the coordinate plane?


14 units

28 units

36 units

45 units

Answers

Answer:

45 units^2

Step-by-step explanation:

W x H = area

9  x  5 = 45 units^2

Answer:

28 units

Step-by-step explanation:

Length (l) = 9 units

Breadth (b) = 5 units

Perimeter of the rectangle will be,

→ 2(l + b)

→ 2(9 + 5)

→ 2 × 14

→ 28 units

Hence, the perimeter is 28 units.

PLEASE HELP !!!!!!!!!

Answers

i really dont know but i hope you find the answer

Can you turn all the mixed numbers in the boxes into and improper fraction please!!!

Answers

Answer:

answers are in the attached file!

Step-by-step explanation:

these are super simple to solve if you break it down! in order to turn a mixed number into an improper fraction, you first need to multiply the whole number by the denominator of the fraction. then, you add the numerator of the fraction to the product of the multiplication problem. that answer is then the new numerator of the fraction! the denominator will stay the same.

for example, the very first one that is given in the picture is 6 1/2. 6•2 equals 12, plus the numerator, 1, gives 13.

At her Fourth of July party, Marcy serves her famous grilled chicken. Her secret is to use 6 fluid ounces of lemon-garlic marinade for every pound of chicken. Marcy plans to grill 4 pounds of chicken. How many cups of marinade should she use?
cups

Answers

3 number of cups will be needed to marinade 4 pounds of chicken for grill.

What is Ounce?

Ounce is the small unit of weight which is generally equal to the one by 16th of the pounds.

Here we have the data from the question:-

Marcy will use 6 fluid ounces of lemon-garlic marinade for every pound of chicken.

Marcy plans to grill 4 pounds of chicken.

So total marination required will be:-

Total marination =6x4=24 ounces

Now we know that the conversion:-

1 fluid Ounce = 0.125 Cup

24 fluid ounce =0.125 Cup

Hence 3 number of cups will be needed to marinade 4 pounds of chicken for grill.

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can you please help me I’ll pay you £100

Answers

Answer:

The new points to the triangle will be:

[tex]A(-6, 6)\\B(-6, 3)\\C(-8, 3)[/tex]

Step-by-step explanation:

Because the reflection point is at [tex]x = -1[/tex], all x values will subtract their distances from [tex]x = -1[/tex] to get their new values. The y values remain the same.

The starting values are:

[tex]A(4,6)\\B(4,3)\\C(6,3)[/tex]

Point [tex]A[/tex] is 5 units away from [tex]x = -1[/tex], so we'll subtract 5 from -1 to get the new x value: [tex]-1 - 5 = -6[/tex], so [tex]A(-6, 6)[/tex].

Point [tex]B[/tex] is also 5 unit away from [tex]x = -1[/tex], so we'll subtract 5 from -1 to get the new x value: [tex]-1 - 5 = -6[/tex], so [tex]B(-6, 3)[/tex].

Point [tex]C[/tex] is 7 units away from [tex]x = -1[/tex], so we'll subtract 7 from -1 to get the new x value: [tex]-1 - 7 = -8[/tex], so [tex]C(-8, 3)[/tex].

Answer:

No need to pay me, its my pleasure, also its not even in my country's currency so it would be worthless to me anyways.

5,4 and 4,4

Step-by-step explanation:

-
1. Find all critical numbers for the function: f(x) = (9 - x2)3/5
A. {0}
B. {-3,3}
C. {3}
D. {-3,0,3}

Answers

Answer:

its easy

Step-by-step explanation:

Given the recursive formula below, what are the first 4 terms of the sequence?

image

Question 3 options:


A)


17, 19, 21, 23


B)


17, –6, –3, 0


C)


17, 13, 9, 5


D)


17, 15, 13, 11

Answers

Answer:

D)

17,15,13,11

Step-by-step explanation:

From the formula

[tex]f(n) = f(n - 1) - 2 \\ f1 = 17 \\ [/tex]

we can deduce the next three terms as follows:[tex]f(2) = f(2 - 1) - 2 \\ f(2)= f(1) - 2 \\ f(2) = 17 - 2 \\ f(2) = 15\\ [/tex][tex]f(3) = f(3 - 1) - 2 \\ f(3)= f(2) - 2 \\ f(3) = 15 - 2 \\ f(3) = 13\\ [/tex][tex]f(4) = f(4 - 1) - 2 \\ f(4)= f(3) - 2 \\ f(4) = 13 - 2 \\ f(4) = 11\\ [/tex]Hence the sequence is; 17, 15, 13, 11,...

Which table contains only values that satisfy the following? y = x - 1

Answers

The answer is A. If you plug in the x values in the table into the equation, when you solve you get the y value

Use the following random list of 100 numbers and the assignations 0-4 to represent girls and 5-9 to represent boys to answer the question below. 3199 9288 1023 1130 0809 1770 6231 7538 8927 4761 7258 7111 0209 0916 1450 9848 4654 7579 6150 3093 9608 0061 4014 9501 0382 3052 2385 9074 1664 6551 6577 1811 3454 5870 1277 5056 1063 5697 9141 4120 9181 1343 0168 3693 0463 4842 1704 3774 4908 4161 6404 9675 2518 3988 4268 6083 0636 9634 5295 5656 1918 3133 6831 8393 6363 2452 1531 1638 1317 2279 9395 0702 2091 5269 0422 0275 3373 1424 1958 0356 5163 0743 6658 6257 2772 0570 4522 2665 0890 3560 5549 2238 2172 9715 9741 4975 6617 9034 4441 8220 Based on the results of the simulation, if 224 groups are formed, about how many of them would you expect to contain all girls? Round your answer to the nearest number of groups. groups.

Answers

es muy fácil es 632468956

100:224 = 61:x, or 61/100 = x/224

Cross multiply; 100x=13664

Then, divide by 100; x=136.64, or about 137 groups would contain all girls

The sum of 6 and the product of 3 and d​

Answers

Answer:

6 + 3d

Step-by-step explanation:

First, we can translate from English words to mathematical operations:

– Product: the result of multiplication

– Sum: the result of addition

So, we can rephrase the original sentence as “the result of adding 6 and (the result of multiplying 3 and d)”

When we multiply a constant like 3 by a variable like d, we usually write the two next to each other, which would be “3d” in this case. We can replace that last sentence in symbols with 6 + 3d

round 63,104,159,896 to the nearest hundred million

round 2,005,562,134 to the nearest hundred million

round 5,678,600,941 to the nearest hundred million​

Answers

Answer:

The answer to each one is 1) 63,100,000,000

2) 2,000,000,000

3) 5,700,000,000

Consider a triangle a
ABC like the one below. Suppose that A = 46°, C=79°, and b=61. (The figure is not drawn to scale.) Solve the triangle.
Round your answers to the nearest tenth.
If there is more than one solution, use the button labeled "or".

Answers

Answer:

A =24.7° ; B = 40.6° ; C =114.7°

Step-by-step explanation:

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER

Answers

Answer:

48pi cm squred

Step-by-step explanation:

first find area of the circle which is pi x r^2

pi x 3^2 = 9pi

Since there are two circles...

9pi x 2 = 18pi

Then find the area of the rectangle that is wrapped around the circle by finding the circumference of the circle and then multiplying that with the height of the cylinder

circumference of the circle = 2 x pi x r

2 x pi x 3 = 6pi

6pi x 5 = 30pi

Therefore the surface area is

48pi cm squred

Hope this helps!

A student estimates that it would take her 3 hours to write a book report,but it actually takes he 5 hours what is the percent error

Answers

Answer:

66.67%

If it wrong! IM SO SORRY:(

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