The equal sides of an isosceles triangle are 2 cm shorter than the length of the third side. If the perimeter of the triangle is 35 cm, find the length of the third side.​

with the formula plsssss

Answers

Answer 1
Given Information :

• Equal sides of an isosceles triangle = 2cm shorter than the length of the third side.

To calculate :

• Length of the third side.

Calculation :

Let the third side be c.

Also, two equal sides be a and b.

According to the question,

[tex] \longmapsto [/tex] a = ( Third side - 2 ) cm

[tex] \longmapsto [/tex] a = ( c - 2 ) cm

Similarly, length of b(second side) will also be same as a and b are two equal sides of an isosceles triangle.

[tex] \longmapsto [/tex] b = ( c - 2 ) cm

Now, we know that :

Perimeter of = Sum of all sides

Perimeter = 35 cm.

[tex] \longmapsto [/tex] 35 = a + b + c

[tex] \longmapsto [/tex] 35 = (c - 2) + (c - 2) + c

[tex] \longmapsto [/tex] 35 = c - 2 + c - 2 + c

[tex] \longmapsto [/tex] 35 = c + c + c - 2 - 2

[tex] \longmapsto [/tex] 35 = 3c - 4

[tex] \longmapsto [/tex] 35 + 4 = 3c

[tex] \longmapsto [/tex] 39 = 3c

[tex] \longmapsto [/tex] [tex] \sf \dfrac{39}{3} [/tex] = c

[tex] \longmapsto [/tex] 13 = c

So, third side of the triangle is 13 cm.


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Step-by-step explanation:

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Step-by-step explanation:

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What is its potential energy when compressed by 0.25 m?

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A ratio of the number of boys to the number of girls in a choir is 5 to 4. There are 60 girls in the choir

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Answer:

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Step-by-step explanation:

Good Luck!!!

A study of 420,027 cell phone users found that 133 of them developed cancer of the brain or nervous system. Prior to this study of cell phone​ use, the rate of such cancer was found to be ​0.0414% for those not using cell phones. Complete parts​ (a) and​ (b). a. Use the sample data to construct a ​90% confidence interval estimate of the percentage of cell phone users who develop cancer of the brain or nervous system.

Answers

Answer:   (0.00027144,  0.00036176)

Step-by-step explanation:

The sample proportion of cell phone users who develop cancer of the brain or nervous system = [tex]\dfrac{133}{420027}=0.0003166[/tex]

Sample size : 420027

Confidence interval for p: [tex]\hat{p}\pm z^*\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}[/tex], where [tex]\hat{p}[/tex]= sample proportion , n= sample size , z* = crirical z value.

For 90% confidence interval , z*= 1.645

Required confidence interval:

[tex]0.0003166\pm (1.645)\sqrt{\dfrac{0.0003166(1-0.0003166)}{420027}}\\\\=0.0003166\pm 0.00004516\\\\=(0.0003166-0.00004516,\ 0.0003166+ 0.00004516)\\\\=(0.00027144, \ 0.00036176)[/tex]

A ​90% confidence interval estimate of the percentage of cell phone users who develop cancer of the brain or nervous system = (0.00027144,  0.00036176)

solve 7!!!!!!!!!!!!!!!!!!!!!!!

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

AO and BO are both the radius of the circle, so they are equal.  Since it makes an iscosoles triangle, angles A and B are equal.

180-66=114

114/2=57

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Take out the common factor ​

Answers

Answer:

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Step-by-step explanation:

Given

- 63 y^5  , 27y^7  and 18y^9

Required

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Factorize each expression:

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paki answer po plss​

Answers

In the figure, angles 1 and 5 are alternate exterior angles. Use the Alternate Exterior ... each pair of alternate interior angles is congruent. ... 1 and 3. SOLUTION: If the radiation rays form parallel lines, then ∠1 and ... supplementary; since 3 and 5 are a linear pair, ... ∠8, ∠9 and ∠10, ∠11 and ∠12, and ∠13 and ∠14.

SOMEONE HELP ME PLS ASAP I WILL GIVE BRAINLIEST PROVE ABCD IS A PARALLELOGRAM

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Answer:

It's a parallelogram because it has two parallel side (a,d)+(b,c) or (a,b)+(d,c). The shape is connected by the line "a,d"

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Answer:

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Step-by-step explanation:

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The cost per minute is .02 cents

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Answers

Answer:

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Step-by-step explanation:

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At the time of her​ grandson's birth, a grandmother deposits $2000 in an account that pays 6.5% compounded monthly. What will be the value of the account at the​ child's twenty-first​ birthday, assuming that no other deposits or withdrawals are made during this​ period?

Answers

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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The weight of a small Starbucks coffee is a normally distributed random variable with a mean of 325 grams and a standard deviation of
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3378
318.26
to
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Answers

Answer:

a. Above 337.8 grams.

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Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

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This means that [tex]\mu = 325, \sigma = 10[/tex]

a. Highest 10 percent

This is X when Z has a pvalue of 1 - 0.1 = 0.9, so X when Z = 1.28.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.28 = \frac{X - 325}{10}[/tex]

[tex]X - 325 = 10*1.28[/tex]

[tex]X = 337.8[/tex]

So 337.8 grams.

b. Middle 50 percent

Between the 50 - (50/2) = 25th percentile and the 50 + (50/2) = 75th percentile.

25th percentile:

X when Z has a pvalue of 0.25, so X when Z = -0.675.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-0.675 = \frac{X - 325}{10}[/tex]

[tex]X - 325 = -0.675*10[/tex]

[tex]X = 318.25[/tex]

75th percentile:

X when Z has a pvalue of 0.75, so X when Z = 0.675.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]0.675 = \frac{X - 325}{10}[/tex]

[tex]X - 325 = 0.675*10[/tex]

[tex]X = 331.75[/tex]

Between 318.25 grams and 331.75 grams.

c. Highest 80 percent

Above the 100 - 80 = 20th percentile, which is X when Z has a pvalue of 0.2. So X when Z = -0.841.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-0.841 = \frac{X - 325}{10}[/tex]

[tex]X - 325 = -0.841*10[/tex]

[tex]X = 316.59[/tex]

Above 316.59 grams.

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[tex]Z = \frac{X - \mu}{\sigma}[/tex]

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[tex]X = 312.2[/tex]

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Answers

Answer:

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Step-by-step explanation:

Area of a reactangle = length × width

= (4y+6) × (y+2)

= 4y^2 + 6y + 8y + 12

= 4y^2 + 14y + 12

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= 2 × ( 4y + 6 + y+ 2)

= 2 × ( 5y + 8)

= 10y + 16

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Answers

46 minutes is the elapsed time :)

Answer:

46 minutes

Step-by-step explanation:

In order to find the time elapsed, you must subtract 10:51 and 10:05 which equals 46 minutes.

1. Kathy is building a bed for her dollhouse. She used her real bed as a guide for how to
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to scale this down by 1/10, what would be the dimensions of the dollhouse bed?
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*Use the term SCALE FACTOR in your explanation.


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The answer to the question is Ashby

find the given polynomial by finding the greatest common monomial factor or the ñegative of the greatest common monomial factor and rewrite the expression. ​

Answers

Answer:

1. The greatest common monomial factor is xy

2. xy(6 + 2y² + 3x²)

Step-by-step explanation:

6xy + 2xy³+ 3x³y

1. Determination of the greatest common monomial (GCM) factor.

6xy + 2xy³+ 3x³y

6xy => 2 × 3 × x × y

2xy³ = 2 × x × y × y × y

3x³y = 3 × x × x × x × y

GCM => xy

2. Rewrite the expression

6xy + 2xy³+ 3x³y

GCM => xy

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if we use the quadratic expression below to complete a diamond, what value will go at every bottom of the diamond

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Answers

Answer:

if we use the quadratic expression below to complete a diamond, what value will go at every bottom of the diamond

is -4

Answer:

if we use the quadratic expression below to complete a diamond, what value will go at every bottom of the diamond

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Hey, I need help!

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Answers

Answer:

28

Step-by-step explanation:

Answer:

56 divided by 2 would be 28.

Step-by-step explanation:

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