All categories

4 years ago

While setting up a fireworks display, you have a tool at the top of the

Mathematics

1 answer:

atroni [7]4 years ago

8 0

Answer:

0.79 sec

Step-by-step explanation:

Given there is a tool at the top of the building which is dropped by a worker and it follows the following equation at every instant of time .

$h(t)=-16t^{2} +h_{0}$

where $h_{0} =10 feet$

We know that this height is measured from the base of the building which means that when the tool reaches the bottom of the building it has h = 0 feet.

Let this be done at time t

h(t) = 0

$-16t^{2} +10=0$

$t^{2} =\frac{10}{16}$

$t=\frac{\sqrt{10} }{4}$

t = 0.79 sec

Therefore the total time taken by the tool to reach the bottom of the building is 0.79 sec.

You might be interested in

Which rule describes the relationship between the input/output values shown on the table? Which number completes the table?

Ymorist [56]

C, 52; multiply by 4

7 0

3 years ago

Read 2 more answers

PLZ HELP I NEED AN ANSWER NOW I WILL MARK BRAINLYEST

Vesnalui [34]

Answer:

Δ MNO ≅ ΔXYZ by AAS postulate.

Step-by-step explanation:

Given:

$\angle M=\angle X$ , $\angle N=\angle Y$ , and YO = NZ.

Consider YO = NZ

Add OZ on both sides

YO + OZ = NZ + OZ

YZ = NO

Consider triangles Δ MNO and ΔXYZ.

Statement Reason

1. $\angle M=\angle X$ Given

2. $\angle N=\angle Y$ Given

3. YZ = NO ∵ YO = NZ

Therefore, the two triangles Δ MNO and ΔXYZ are congruent to each other from AAS postulate as two corresponding angles and a corresponding side are equal to each other.

6 0

3 years ago

Enter the fraction that the decimal represents reduced to the lowest form. Answer the questions that follow. Decimal Fraction Wo

kumpel [21]

Answer:

3/4
3 quarters
15 nickels

Step-by-step explanation:

<u>Convert the decimal into fraction:</u>

0.75 = 75/100 = 3/4

Representation of $0.75 in quarters or nickels.

We know that quarter is $0.25 and nickel is $0.05.

<u>Number of quarters:</u>

075 / 0.25 = 75/25 = 3

<u>Number of nickels:</u>

0.75/0.05 = 75/5 = 15

7 0

3 years ago

You have D dollars to buy fence to enclose a rectangular plot of land (see figure at right). The fence for the top and bottom co

alex41 [277]

The perimeter of the rectangular plot of land is given by the expression below

$P=2x+2y$

On the other hand, since the available money to buy fence is D dollars,

$\begin{gathered} D=4(2x)+3(2y) \\ \Rightarrow D=8x+6y \\ D\rightarrow\text{ constant} \end{gathered}$

Furthermore, the area of the enclosed land is given by

$A=xy$

Solving the second equation for x,

$\begin{gathered} D=8x+6y \\ \Rightarrow x=\frac{D-6y}{8} \end{gathered}$

Substituting into the equation for the area,

$\begin{gathered} A=(\frac{D-6y}{8})y \\ \Rightarrow A=\frac{D}{8}y-\frac{3}{4}y^2 \end{gathered}$

To find the maximum possible area, solve A'(y)=0, as shown below

$\begin{gathered} A^{\prime}(y)=0 \\ \Rightarrow\frac{D}{8}-\frac{3}{2}y=0 \\ \Rightarrow\frac{3}{2}y=\frac{D}{8} \\ \Rightarrow y=\frac{D}{12} \end{gathered}$

Therefore, the corresponding value of x is

$\begin{gathered} y=\frac{D}{12} \\ \Rightarrow x=\frac{D-6(\frac{D}{12})}{8}=\frac{D-\frac{D}{2}}{8}=\frac{D}{16} \end{gathered}$ <h2>Thus, the dimensions of the fence that maximize the area are x=D/16 and y=D/12.</h2><h2>As for the used money,</h2> $\begin{gathered} top,bottom:\frac{8D}{16}=\frac{D}{2} \\ Sides:\frac{6D}{12}=\frac{D}{2} \end{gathered}$ <h2>Half the money was used for the top and the bottom, while the other half was used for the sides.</h2>

7 0

1 year ago

PLEASEEE HELP FAST SOLVE FOR VOLUME

snow_tiger [21]

Do you have a (a,b,c,d) type of answer?

if yes it would be c, if no... Then uh good luck

3 0

3 years ago

Read 2 more answers