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s2008m [1.1K]
4 years ago
15

I need help with my assignment, does anyone know the answer to this?

Mathematics
2 answers:
vampirchik [111]4 years ago
4 0

Answer:

What times 7 divided by three gets you 52.5. That's what you need to ask yourself. The formula is B×H÷3.

Hope this helps

Step-by-step explanation:

Fittoniya [83]4 years ago
3 0

Answer:

The base length of the triangle is 15 units

Step-by-step explanation:

The area of a triangle is given by the formula; 1/2 *base* perpendicular height. In the presented scenario, we can determine the base by solving for base in the given equation; 1/2 *base*7 =52.5. Multiply both sides by 2 yields; base*7 =105. Dividing by 7 yields; base=15 units

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Make an equation to represent the area of a square whose sides are given by the expression x + y
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Answer:

x^2 + 2xy + y ^2

Step-by-step explanation:

A = a^2

a = x + y

(x + y) + (x + y)

x^2 + xy + xy + y^2

x^2 + 2xy + y ^2

4 0
3 years ago
IMPORTANT!! in a unit circle, what is the relationship between arc length and central angle?
victus00 [196]

Answer:

The measure of an arc refers to the arc length divided by the radius of the circle. The arc measure equals the corresponding central angle measure, in radians. That's why radians are natural: a central angle of one radian will span an arc exactly one radius long.

5 0
3 years ago
Evaluate the expression - 2.2×(- 2)÷(- 1 4ths)×5 using the order of operations only
Usimov [2.4K]
4.4 divided by -70ths
4 0
3 years ago
A small town has 2000 inhabitants. At 8 AM, 160 people have heard a rumor. By noon half the town has heard it. At what time will
QveST [7]

Answer:

3:36 PM

Step-by-step explanation:

Let fraction (y) of the people that heard the rumor , the differential equation that is satisfied by the by y is,

                            \frac{dy}{dt} = ky(1-y)

Solving the differential equation,

                          y(t) = \frac{y_{o}}{[y_{o} + (1 + y_{o})e^{-kt}]}

The total number of inhabitants of the town = 2000

The number of people that  heard the rumor = 160

At 8 AM, let t = 0,

               y(0) = \frac{160}{2000}

                       = 0.08

By noon, half of the town as heard the rumor.

Then,    

                y(4) = \frac{1}{2}

Therefore,

              \frac{1}{2} = \frac{0.08}{[0.08 + (1 - 0.08)e^{-4k}]}

              \frac{0.08}{[0.08 + 0.92e^{-4k}]} = \frac{1}{2}

              0.08 + 0.92e^{-4k} = 0.16  

              0.92e^{-4k} = 0.16 - 0.08

              0.92e^{-4k} = 0.08

              e^{-4k} = \frac {0.08}{0.92}

              k = - \frac{1}{4} In(\frac {0.08}{0.92})

              k ≈ 0.06106

Calculating time, t when y(t) = 90%

        ⇒ y(t) = 0.9

              \frac{0.08}{[0.08 + 0.92e^{-0.06106t}]} =0.9

              0.08 + 0.92e^{-0.06106t} = \frac {0.9}{0.08}

              0.08 + 0.92e^{-0.06106t} = 0.089

              0.92e^{-0.06106t} = 0.089 - 0.08

              0.92e^{-0.06106t} = 0.0089

              t = - \frac{1}{0.06106}In (\frac{0.0089}{0.92})

              t = 7.59 hours

              ⇒ 7 hours 36 minutes

From 8 A.M. plus 7 hours 36 minutes = 3:36 PM

At 3:36 PM will 90% of the population have heard the rumor

             

             

             

7 0
3 years ago
Marcel bought a new hat for $21.99 and 2 pairs of socks for $3.99each. What is the total price, including a 7.5% sales tax?
NNADVOKAT [17]

Cost of a hat bought by Marcel = \$ 21.99

Cost of a pair of socks = \$ 3.99

Cost of 2 pair of socks =2 \times 21.99 = \$ 7.98

Total price of hat and two pair of socks = \$ (21.99 + 7.98) = \$ 29.97

A sales tax of 7.5 \% on this purchase = 7.5 \%  \times \$29.97

=\frac{7.5}{100} \times 29.97 = \$2.25

Therefore, the total price including the sales tax = \$ 29.97 + \$ 2.25

=\$ 32.22

5 0
3 years ago
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