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3 years ago

True or False? A triangle with two congruent angles can never be scalene. A. True B. False

Mathematics

2 answers:

Wewaii [24]3 years ago

8 0

True, because a triangle with 2 congruent sides/angles is ALWAYS an isosceles triangle.
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a_sh-v [17]3 years ago

4 0

Answer: True

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Margie is practicing for an upcoming tennis tournament. Her first serve is good 20 out of 30 times on average. Margie wants to k

mojhsa [17]

Answer:

0.6804

Step-by-step explanation:

Given that Margie is practicing for an upcoming tennis tournament. Her first serve is good 20 out of 30 times on average.

Since each trial is independent and there are two outcomes, X no of good serves is binomial with n=6 and p =2/3

Required probability

= Prob that atleast four of 6 times good serve

= $P(X\geq 4)$

= $P(x=4,5 or 6)\\=1-F(3)\\=0.6804$

Formula used:

P(X=r) = $6Cr (\frac{2}{3}^r )(\frac{1}{3}^{6-r} )$

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2 years ago

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Which equation shows the point slope form of the line that passes through (3,2) and has a slope of 1/3

olasank [31]

Answer:

y=-1/3x+4/3

Step-by-step explanation:

y-y1=m(x-x1) m=1/3 x1=3 y1=2

y-2=1/3(x-2)

y-2=-1/3x-2/3

y=-1/3x+4/3

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3 years ago

One serving of Gooey Gushers provides 12% of the daily value of vitamin C. Tim ate 312 servings of Gooey Gushers.

Studentka2010 [4]

Answer:

a) Given expression,

12% of 312

Since 100% of 312 = 312

⇒ 10% of 312 = 31.2,

⇒ 1% = 3.12

⇒ 2% = 2 × 3.12 = 6.24

So, 12% of 312 = 10% of 312 + 2% of 312

= 31.2 + 6.24

= 37.44

b) Given,

Total number of servings = 312,

The percentage of vitamin C in each serving = 12%,

Thus, the total amount of the vitamin C in 312 servings = 12% of 312

$=\frac{12\times 312}{100}$

$=\frac{3744}{100}$

= 37.44,

Hence, the question can be asked about the total amount of the vitamin C.

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3 years ago

In your own words, explain why when we multiply terms that have the same bases, we add the exponents.

Doss [256]

When multiplying exponents, remember the first rule: when multiplying similar bases, add powers together. 52% + 56% =? The bases of the equation remain unchanged, while the exponents' values are added together. Adding the exponents is only a quick way to get at the answer. Simply add the exponents to multiply exponential expressions with the same base. Simplify. The product rule applies because the base of both exponents is a. With a common basis, add the exponents.

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1 year ago

Regular hexagon ABCDEF has vertices at A(4, 4!3), B(8, 4!3), C(10, 2!3), D(8, 0), E(4, 0) and F(2, 2!3).

marissa [1.9K]

Since the given hexagon is a regular hexagon all it's sides will be of equal length. Now, we know that the Area of any regular hexagon is given by:

$A=\frac{3\sqrt{3}}{2} a^2$

Where $A$ is the area of the regular hexagon

$a$ is the side length of the regular hexagon

Also, it's Perimeter is given by:

$P=6a$

Thus, all that we need to do is to find the side length of any one of the sides and to do that let us have a look at at the data of vertices points given and find out which points are definitely adjacent to each other and are also easy to calculate.

A quick search will yield that D(8, 0) and E(4, 0) are definitely adjacent to each other.

Please check the attached file here for a better understanding of the diagram of the original regular hexagon. Points D and E indeed are adjacent to each other.

Let us now find the distance between the points D and E using the distance formula which is as:

$d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}$

Where $d$ is the distance.

$(x_1,y_1)$ and $(x_2,y_2)$ are the coordinates of points D and E respectively. (please note that interchanging the values of the coordinates will not alter the distance $d$ )