All categories

2 years ago

2 sides of a triangle have the following measures. Find the range of possible measures for the third side.

Mathematics

1 answer:

defon2 years ago

7 0

Answer:

4 < x < 18

Step-by-step explanation:

Given 2 sides of a triangle then the third side x is in the range

difference of 2 sides < x < sum of 2 sides , that is

11 - 7 < x < 11 + 7

4 < x < 18 ← range of values for third side

You might be interested in

Find the value of n and WX if W is between X and Y, WX=6n-10, XY=17, and WY=3n

Neko [114]

Answer:

n = 3

Step-by-step explanation:

It is given that W is between X and Y. It means,

WX = WY

XY = WX+WY

We have, WX=6n-10, XY=17, and WY=3n

So,

17= 6n-10+3n

Adding both sides 10

17+10= 6n-10+3n+10

27=9n

n = 3

Hence, the value of n is 3.

8 0

3 years ago

The area of a bulletin board is 55 ft2. The length is nine feet less than four times the width. Find the length and the width, i

galben [10]

Answer:

The length and width are 11ft and 5ft respectively

Step-by-step explanation:

let the

length = L

Width = W

Area = LW = 55

The length is nine feet less than four times the width

L = 4W - 9

W (4W - 9) = 55

4W^2 - 9W -55 = 0

4W^2 - 20W + 11W - 55 = 0

4W(W - 5) + 11(W - 5) = 0

(W - 5)(4W + 11) = 0

W - 5 = 0 , 4W + 11=0

W = 5 or - 11/4

since the width cannot be negative, W = 5

LW = 55

L = 55/5

L = 11

The length and width are 11ft and 5ft respectively.

7 0

3 years ago

Q4.

Levart [38]

Probabilities are used to determine the chances of an event

The probability of choosing a black counter is 0.6
The probability that both counters are white is 0.16

<h3>(a) Probability of selecting two blacks</h3>

The probability is given as:

$P(Black\ n\ Black)=0.36$

Apply probability formula

$P(Black) \times P(Black)=0.36$

Express as squares

$P(Black)^2=0.36$

Take the square root of both sides

$P(Black)=0.6$

Hence, the probability of choosing a black counter is 0.6

<h3>(b) Probability of selecting two white counters</h3>

In (a), we have:

$P(Black)=0.6$

Using the complement rule, we have:

$P(White) = 1 - P(Black)$

So, we have:

$P(White) = 1 -0.6$

Evaluate

$P(White) = 0.4$

The probability that both counters are white is then calculated as:

$P(White\ and\ White) = P(White) \times P(White)$

So, we have:

$P(White\ and\ White) =0.4 \times 0.4$

$P(White\ and\ White) =0.16$

Hence, the probability that both counters are white is 0.16

Read more about probabilities at:

brainly.com/question/15858152

6 0

1 year ago

PLEASE HELP AND EXPLAIN THIS ALSO GRAPH PLS the answer choices are -6, -4, 6, 4

liubo4ka [24]

$\sf \: (x,y) = ( - 4, - 6)$

$\rule{300pt}{3pt}$

Detailed solution can be found in the attachment!!~

4 0

2 years ago

find the column which has products that are the sum of the yellow shaded numbers in each row Shaded the column what pattern do y

BaLLatris [955]

Answer:

They are even numbers (divisible by two)

Step-by-step explanation:

The number column starts from 2 and is incremented by two for every number in the column. The remainder of the division of each number in the sequence is zero and the result of the division is sequence 1,2,3,4,5,6,7...

Therefore, the numbers in the column are even numbers.

6 0

2 years ago