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sp2606 [1]
1 year ago
6

Kevin drew a triangle with angle measures of 30 degrees and 40 degrees and side measures of 5 cm, 7cm, and 8 cm. Explain, using

sides and angles, which type of triangle Kevin drew.
Mathematics
2 answers:
adelina 88 [10]1 year ago
7 0

Kevin draws a triangle with angle measures of 30 degrees and 40 degrees.

Two angle measures of triangle are given. Let us find the measure of third angle.

By angle sum property, which states that " the sum of all three measures of a triangle is 180 degrees".

Let the third angle be 'x'

So, 30^{\circ}+40^{\circ}+ x = 180^{\circ}

x = 110^{\circ}

So, he draws a triangle with angle measures as 30 degree, 40 degree and 110 degree and and side measures of 5 cm, 7 cm, and 8 cm.

By using the given fact :

"A triangle is scalene if all of its three sides are different (all the three angles are also different).

Therefore, Kevin draws a scalene triangle as all the angles are of different measures and all the sides are of different measurements.

Blababa [14]1 year ago
6 0
He drew a scalene triangle
A scalene triangle is where all side measure and all angle measure are different.
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A machine fills boxes weighing Y lb with X lb of salt, where X and Y are normal with mean 100 lb and 5 lb and standard deviation
Bas_tet [7]

Answer:

Option b. None is the correct option.

The Answer is 63%

Step-by-step explanation:

To solve for this question, we would be using the z score formula

The formula for calculating a z-score is given as:

z = (x-μ)/σ,

where

x is the raw score

μ is the population mean

σ is the population standard deviation.

We have boxes X and Y. So we will be combining both boxes

Mean of X = 100 lb

Mean of Y = 5 lb

Total mean = 100 + 5 = 105lb

Standard deviation for X = 1 lb

Standard deviation for Y = 0.5 lb

Remember Variance = Standard deviation ²

Variance for X = 1lb² = 1

Variance for Y = 0.5² = 0.25

Total variance = 1 + 0.25 = 1.25

Total standard deviation = √Total variance

= √1.25

Solving our question, we were asked to find the percent of filled boxes weighing between 104 lb and 106 lb are to be expected. Hence,

For 104lb

z = (x-μ)/σ,

z = 104 - 105 / √25

z = -0.89443

Using z score table ,

P( x = z)

P ( x = 104) = P( z = -0.89443) = 0.18555

For 1061b

z = (x-μ)/σ,

z = 106 - 105 / √25

z = 0.89443

Using z score table ,

P( x = z)

P ( x = 106) = P( z = 0.89443) = 0.81445

P(104 ≤ Z ≤ 106) = 0.81445 - 0.18555

= 0.6289

Converting to percentage, we have :

0.6289 × 100 = 62.89%

Approximately = 63 %

Therefore, the percent of filled boxes weighing between 104 lb and 106 lb that are to be expected is 63%

Since there is no 63% in the option, the correct answer is Option b. None.

3 0
2 years ago
Which polynomial is prime? x3 + 3x2 – 2x – 6 x3 – 2x2 + 3x – 6 4x4 + 4x3 – 2x – 2 2x4 + x3 – x + 2
alexandr1967 [171]
D. 2x4+x3–x+2 <span>is prime</span>
4 0
2 years ago
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Colin &amp; Brian share a lottery win of £2100 in the ratio 4 : 1. Colin then shares his part between himself, his wife &amp; th
Paraphin [41]

Answer:

His wife gets $336 more than his son.

Step-by-step explanation:

Colin and Brian:

Ratio of 4:1.

So Colin gets \frac{4}{4+1} = \frac{4}{5} of the prize.

\frac{4*2100}{5} = 1680

Colin got $1680. Dividing between himself, his wife and their son:

Ratio of 2:5:3.

So Colin gets \frac{2}{2+3+5} = \frac{2}{10}, his wife gets \frac{5}{2+3+5} = \frac{5}{10} and his son gets \frac{3}{2+3+5} = \frac{3}{10}

Wife:

\frac{5*1680}{10} = 840

His wife got $840.

Son:

\frac{3*1680}{10} = 504

His son got $504.

How much more does his wife get over their son?

840 - 504 = 336

His wife gets $336 more than his son.

8 0
1 year ago
The article points out that caffeine in reasonable amounts of coffee does not appear to be a problem, but "the research is typic
ale4655 [162]
The first one is 500
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6 0
2 years ago
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3x5 – 7x4 + 6x2 – 14x
Andreas93 [3]

Question is Incomplete; Complete question is given below;

What is the completely factored form of 3x5 – 7x4 + 6x2 – 14x.

Answer:

The Complete factorized form of given equation is x((x^3+2)(3x-7)).

Step-by-step explanation:

Given:

3x^5-7x^4+6x^2-14x

We need to factorize the above equation:

Solution:

On Solving the above equation we get;

Step 1:

First we will take a common factor which is 'x' so the equation will become as;

x(3x^4-7x^3+6x-14)

Step 2:

Now we will Rewrite the above equation so as to factorize the same we get;

x(3x^4+6x-7x^3-14)

Step 3:

Now we take 3x common factor from first 2 terms we get;

x(3x(x^3+2)-7x^3-14)

Step 4:

Now we will take 7 as common factor from last 2 terms we get;

x(3x(x^3+2)-7(x^3+2))

Step 5:

Now we can see the common factor between the 2 terms is x^3+2;

x((3x-7)(x^3+2))

Hence The Complete factorized form of given equation is x((x^3+2)(3x-7)).

4 0
1 year ago
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