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dexar [7]
3 years ago
9

Mrs berry was riding a bicycle on a path. After riding 2/3 of a mile , she discovered that she still needed to travel 3/4 of a m

ile to reach the end of the path. How long is the bike path?
Mathematics
1 answer:
vlada-n [284]3 years ago
8 0

Answer:

1  5/12 miles.

Step-by-step explanation:

That is 2/3 + 3/4

= 8/12 + 9/12

= 17/12

= 1 5/12 miles.

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Find the Total surface area of a cone if it's slant height is 21m and diameter of it's base is 24m.
kherson [118]
<h3><u>Answer :- </u></h3>

  • The total surfAce area of cone is <u>1244.57m².</u>

<h3><u>Step-by-step</u><u> </u><u>explanation</u><u> </u><u>:</u><u>-</u><u> </u></h3>

<u>To </u><u>find </u><u>:</u><u>-</u><u> </u>

  • The total surface area of cone..

<h3><u>Solution :- </u></h3>

Given that ,

  • The slant height of the cone = 21m.
  • Diameter of it's base = 24m.

<h3><u>♦</u><u> </u><u>Radius is </u></h3>

<u>=</u>> Diameter / 2

=> 24 / 2

=> 12m

<h3>As we know that , </h3>

<u>Total surface area of cone = πr ( r + L ) .</u>

<h3><u>Where</u><u> </u><u>we </u><u>know</u><u>,</u></h3>

  • π = 22/7
  • r = Radius ( radii )..
  • L = Slant height.

<h3>According to the question :- </h3>

The total surface of cone is,

<u>=> Total surface area = πr { r + L } ..</u>

=  \frac{22}{7}  \times 12 \times (12 + 21)

=  \frac{22}{7}  \times 12 \times 33

= (22 \times 12 \times 33) \div 7

= (726 \times 12) \div 7

= 8712 \div 7

= 1244.57 {m}^{2}

• Therefore , The total surface area of cone is <u>1244.57m².</u>

Hope this helps you :)

8 0
2 years ago
Read 2 more answers
I need help answering these two questions . This is missing sides and Angles of Right Triangles
iren [92.7K]
1) Tanθ= opposite/adjacent
θ=Tan-1(9/7)
θ=52.125 = 52 degrees

2) Cosθ= adjacent/hypothesis
θ=Cos-1(5/12)
θ=65.376 = 65 degrees
8 0
2 years ago
(y 3 - 4y 2 + 7y - 6) divided by (y - 2)
Anvisha [2.4K]

Answer:

Quotient: y^2 -2y +3

Remainder = 0

Step-by-step explanation:

We need to solve he equation:

y^3-4y^2+7y-6 ÷ y -2

It is solved in the figure attached below:

After solving we get

Quotient: y^2 -2y +3

Remainder = 0

4 0
2 years ago
How do you solve for x?<br><img src="https://tex.z-dn.net/?f=%20log_%7B6%7D%2836%29%20%20%3D%205x%20%2B%206" id="TexFormula1" ti
Paladinen [302]

The value of x in the given equation is -\frac{4}{5}

From the question,

We are to solve the given equation

The given equation is

log_{6}(36) = 5x +6

This becomes

log_{6}(6^{2} ) = 5x +6

From one of the laws of logarithms, we have that

log_{x}(x^{2} ) = 2log_{x}(x)

and

log_{x}(x) = 1

∴ log_{6}(6^{2} ) = 5x +6 becomes

2log_{6}(6) = 5x +6

and

2(1)= 5x +6

2 = 5x +6

Now, subtract 6 from both sides

2-6 = 5x +6-6

-4 = 5x

∴ x = -\frac{4}{5}

Hence, the value of x in the given equation is -\frac{4}{5}

Learn more on solving equations here: brainly.com/question/11802986

4 0
2 years ago
Read 2 more answers
a. Suppose a BMW dealer in Fullerton, CA is trying to calculate the probability of his car sale for next week. The dealer knows
egoroff_w [7]

Answer:

0.45576

Step-by-step explanation:

z = (x-μ)/σ, where

x is the raw score

μ is the population mean

σ is the population standard deviation.

Standard Deviation = √variance

Mean = 50

= √9

= 3

z = 51 - 50/3

= 0.11111

Probability value from Z-Table:

P(x<51) = 0.54424

P(x>51) = 1 - P(x<51)

= 1 - 0.54424

= 0.45576

The probability that the dealer will sell 51 or more cars is 0.45576

8 0
3 years ago
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