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MAVERICK [17]
3 years ago
8

WILL GIVE BRAINLIEST!!!!!!!!!!!!! Which of the following shows the length of the third side, in inches, of the triangle below?

Mathematics
2 answers:
AfilCa [17]3 years ago
7 0
Use Pythagorean theorem.

A= \sqrt{C^{2}- B^{2}}


A= \sqrt{74^{2}- 24^{2}}

A= \sqrt{5476 -576}

A= \sqrt{4900}

A= 70



Therefore the 3rd side is 70 inches.
Dmitriy789 [7]3 years ago
4 0
<span>By the Pythagorean theorem:

</span>third \  side = \sqrt{74^2-24^2} =  \sqrt{5476-576}= \sqrt{4900}=70 \ in<span>
</span>
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3. The following sequence shows the number of pushups Kendall did each week, starting with her first week of exercising: 6, 18,
Alona [7]

{{{ THE BOLDED CHARACTERS SHOULD BE SMALL. }}}

SEQUENCE: 6, 18, 54, 162

18/6 = 3

54/18 = 3

162/54 = 3

then, r (common ratio) = 3

_________________________________________

RECURSIVE RULE: r = 3

an = a(n - 1) × r       [formula]

ANSWER: an = a(n - 1) × 3

_________________________________________

ITERIATIVE RULE: r = 3, a1 = 6

an = a1 × r^(n - 1)       [formula] [ ^(n-1) is an exponent]

ANSWER: an = 6 × 3^(n - 1)

4 0
3 years ago
Which equation has solution x = -3? *
Alex73 [517]

Answer:

1/2(2x-6)= -6

Step-by-step explanation:

Multiply the two sides by the equation 2

2x-6=12

move the constant to the right hand side change sign

2x = -12 + 6

calculate the sum

2x= -6

Divide the 2 sides by 2

x= -3

8 0
3 years ago
Find the value of annuity if the periodic deposit is $250 at 5% compounded quarterly for 10 years
mylen [45]

Answer:

The value of  annuity is  P_v  =  \$ 7929.9

Step-by-step explanation:

From the question we are told that

    The periodic payment is  P  =  \$ 250

     The  interest rate  is   r =  5\%  =  0.05

     Frequency at which it occurs in a year is  n = 4 (quarterly )

      The number of years is  t =  10 \ years

The  value of the annuity is mathematically represented as

             P_v  =  P *  [1  - (1 + \frac{r}{n} )^{-t * n} ] * [\frac{(1 + \frac{r}{n} )}{ \frac{r}{n} } ] (reference EDUCBA website)

 substituting values

             P_v  = 250 *  [1  - (1 + \frac{0.05}{4} )^{-10 * 4} ] * [\frac{(1 + \frac{0.05}{4} )}{ \frac{0.08}{4} } ]

             P_v  =  250 *  [1  - (1.0125 )^{-40} ] * [\frac{(1.0125 )}{0.0125} ]

             P_v  =  250 *  [0.3916 ] * [\frac{(1.0125)}{0.0125} ]

            P_v  =  \$ 7929.9

8 0
3 years ago
Find the y-intercept and the slope of the line<br><br> y=-x+7<br><br> y-intercept:<br> slope:
Ipatiy [6.2K]

Answer:

The y-intercept would be 7

The slope would be -1 or -1/1. They are both the same thing.

The slope is the number which is located directly to the left of the variable (the variable in this case is x, but in other situations it could be a totally different letter).

5 0
3 years ago
A landscape architect is designing a pool that has this top view<br>​
denpristay [2]

Answer:

what view?

and whats the question?

Step-by-step explanation:

4 0
2 years ago
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