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qaws [65]
3 years ago
10

What is the length of AB, with endpoints A (3,2) and B (8,14)?

Mathematics
1 answer:
velikii [3]3 years ago
6 0
Answer is C. 13 Find with Magnitude  √(x1-x2)²+(y1-y2)²  = √25+ 144  = √169  = 13 units


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What is the area of the logo?​
Ludmilka [50]

Answer:

the \: area \: of \: the \: logo \: is \:  {91cm}^{2}

Step-by-step explanation:

To determine the area of the logo you have to calculate the area of the triangle and the square that comform it and then add the four areas.

Area of the square.

To calculate the area of the square you have to calculate the square of one of its sides, following the formula:

a =  {a}^{2}

Where "a" is the length of one of its side.

The side length of the square is a=7cm, so its area will be:

asquare =  {7}^{2}  \\ asquare =  {49cm}^{2}

Area of the triangles.

The three triangles are equal, they have a base equal to the side of the square, i.e. with a length of 7cm, and their height is h=4cm.

To calculate the area of one triangle, you have to multiply its base by its height and divide by 2, following the formula:

a =  \frac{b.h}{2}  \\  a =  \frac{7.4}{2}  \\ a =  \frac{28}{2}  \\ a =  {14cm}^{2}

The area calculated the correspond to one triangle, since all triangles are congruent, you have to multiply the said area by 3 to determine the area of three figures:

atriangles = 3a \\ atriangles =  {42cm}^{2}

Now that the area of all shape are calculated, you have to add them to determine the area of the logo:

alogo = asquare + atriangle \\ alogo = 49 + 42 \\ alogo =  {91cm}^{2}

4 0
3 years ago
Read 2 more answers
100 points PLEASE ANSWER ASAP thank you so much
uysha [10]

Answer:

X elevated to 21/25

Step-by-step explanation:

Exponent law say you have to multiplied the exponents:

(3/5)*(7/5) =

21/25

The mistake was using sumatory instead multiplication.

Regards

7 0
2 years ago
Read 2 more answers
you are attempting to guess a 3 digit number and have the following information. there are no 0s the number is even. the sum of
ss7ja [257]

The 3-digit number is 132

<h3>How to determine the 3-digit number?</h3>

The given parameters are:

  • Number of digits = 3
  • Sum of digits = 6
  • No 0s in the number
  • No repeated digit

The first highlight above implies that the number can be any of 100 to 999

The other highlights imply that the no digit can appear repeatedly, the highest digit in the number is 3, and the number must end with 2.

So, we have:

X32

The first digit is the smallest.

1 is smaller than 3 and 2.

So, we have

132

Hence, the 3-digit number is 132

Read more about digits and numbers at:

brainly.com/question/26856218

#SPJ1

7 0
2 years ago
Diego has $11 and begins saving $5 each week toward buying a new phone. At the same time that Diego begins saving, Lin has $60 a
Nata [24]

Answer:

Let x represents the week and y represents the amount of money.

As per the given statement:

Diego has $11 and begins $5 each week toward buying a new phone.

⇒               ......[1]

It is also given that Lin $60 and begins spending $2 per week.

⇒               ....[2]

when they have the same amount.

equate [1] and [2] we get;

Add both sides 2x we get;

Subtract 11 from both sides we get;

Divide both sides by 7 we get;

x = 7

Substitute the value of x = 7 in [1] we have;

Therefore, at x= 7 week they have the same amount of money and they  have the amount at that time, $ 46

Step-by-step explanation:

6 0
3 years ago
What is the arc measure of BDC in degrees?<br> (4k + 159)<br> P<br> (2k + 153)
andre [41]
<h2>Explanation:</h2><h2></h2>

The diagram is missing but I'll assume that the arc BDC is:

(4k + 159)^{\circ}

And another arc, let's call it FGH. measures:

(2k + 153)^{\circ}

If those arc are equal, then this equation is true:

(4k + 159)^{\circ}=(2k + 153)^{\circ} \\ \\ (4k + 159)=(2k + 153) \\ \\ \\ Solving \ for \ k: \\ \\ 4k-2k=153-159 \\ \\ 2k=-6 \\ \\ k=-\frac{6}{2} \\ \\ k=-3

Substituting k into the first equation:

\angle BDC=(4(-3)+159)^{\circ} \\ \\ \angle BDC=(-12+159)^{\circ} \\ \\ \boxed{\angle BDC=147^{\circ}}

3 0
3 years ago
Read 2 more answers
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