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saul85 [17]
3 years ago
14

Given the legs of a right triangle are a = 21, b = 28, what is the length of the hypotenuse?

Mathematics
1 answer:
Alla [95]3 years ago
7 0

That's a 3 4 5 right triangle scaled by a factor of 7, so the hypotenuse must be 5 times 7.

Answer: 35


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What is the formula of the sequence 3, 6, 10, 15, 21?​
AleksAgata [21]

Answer:

Tn=12n(n+1)

Step-by-step explanation:

Explanation:

These are the triangular numbers - each term in the sequence being the sum of the first n positive integers:

T1=1=1

T2=3=1+2

T3=6=1+2+3

etc.

Notice that:

2Tn=(0)+1+(0)+2+...+(n−1)+(0)+n

2Tn+(0)+n+(n−1)+...+(0)+2+(0)+1

2Tn=(n+1)+(n+1)+...+(n+1)+(n+1)

2Tn=n(n+1)

So:

Tn=12n(n+1)

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2 years ago
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nasty-shy [4]

Answer:

no if your account got suspended  it means you have been banned for a while not forever

Step-by-step explanation:

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2 years ago
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The ratio of chocolate mints to green mints in a bag is 3:5. After John ate half of the green mints and only one chocolate mint,
trapecia [35]

Does the question start with how many were in the bag originally?

8 0
3 years ago
Which of the following rigid motions is used to prove that vertical angle pairs are congruent? (1) a rotation by 90 about the i
liberstina [14]

Answer:

(2) a rotation by 180^{0} about the intersection of the lines creating the vertical angles.

Step-by-step explanation:

Rigid motion are a set of transformation procedure to change the dimension, orientation or size of a given figure or shape. It involves rotation, translation, reflection and dilation.

Vertical angles are formed when two straight lines intersect to form angles. But two opposite angles called vertical angles are equal. To prove that vertical angles are equal; a rotation by 180^{0} about the intersection of the lines creating the vertical angles is required.

3 0
3 years ago
Riverside Elementary School is holding a school-wide election to choose a school color. 5/8 of the voters were for blue 5/9 of t
padilas [110]

Answer:

There were 180 voters for blue color.

Step-by-step explanation:

Let the total number of voters be 'x'.

Given:

Number of Voters for blue color = \frac{5}{8}x

Number of Voters for green color = \frac{5}{9}(x-\frac58x)=\frac59x(1-\frac58)

Now we will use LCM to make the denominator common we get;

Number of Voters for green color = \frac59x(\frac88-\frac58)=\frac59x(\frac{8-5}{9})=\frac59x(\frac38)=\frac{15x}{72}

Number of Voters for red color = 48

We need to find the number of voters for blue color.

Solution:

Now we can say that;

total number of voters is equal to sum of Number of Voters for blue color, Number of Voters for green color and Number of Voters for red color.

framing in equation form we get;

x=\frac58x+\frac{15x}{72}+48

Combining like terms we get;

x-\frac58x-\frac{15x}{72} = 48

Now we will make denominators common using LCM we get;

\frac{72x}{72}-\frac{5x\times9}{8\times9}-\frac{15x\times1}{72\times 1} = 48\\\\\frac{72x}{72}-\frac{45x}{72}-\frac{15x}{72} = 48

Now denominators are common so we will solve the numerators we get;

\frac{72x-45x-15x}{72}=48\\\\\frac{12x}{72}=48\\\\\frac{x}{6}=48

Now multiplying both side by 6 we get;

\frac{1}{6}x\times6=48\times6\\\\x = 288

Number of voters for blue color = \frac{5}{8}x=\frac{5}{8}\times 288= 180

Hence There were 180 voters for blue color.

4 0
3 years ago
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