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2 years ago

Based on a farmer’s soil composition he must mix his fertilizer at a certain strength.

1 answer:

5 0

Find 5%, 6%, and 4% of 0.5.

5% of 0.5 = 0.05 * 0.5 = 0.025 of nitrogen
6% of 0.5 = 0.06 * 0.5 = 0.03 of phosphorus
4% of 0.5 = 0.04 * 0.5 = 0.02 of potassium

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When the angle of elevation of the sun is 78 degrees, a tree casts a 13 foot shadow. How tall is the tree?

oksian1 [2.3K]

Answer: 61.16 ft

Step-by-step explanation:

We can think in this situation as a triangle rectangle.

where:

The height of the tree is one cathetus

The shadow of the tree is the other cathetus.

We know that the angle of elevation of the sun is 78°, an angle of elevation is measured from the ground, then the adjacent cathetus to this angle is the shadow of the tree. And the opposite cathetus will be the height of the tree.

Now we can remember the relationship:

Tg(A) = (opposite cathetus)/(adjacent cathetus)

Where:

A = 78°

Adjacent cathetus = 13ft

opposite cathetus = height of the tree = H

Then we have the equation:

Tg(78°) = H/13ft

Tg(78°)*13ft = H = 61.16 ft

4 0

2 years ago

What is the volume of a small cone if:

Amiraneli [1.4K]

Answer:

Volume of smaller cone =301.44

Step-by-step explanation:

First let angle of cone be $\alpha$ .

then $sin(\alpha )$ = 3/5 (For bigger triangle)

Same cone angle is for smaller one because they are similar.

$cos(\alpha )$ = 4/5

Now for smaller cone radius be R

3/5 =R/Slant height

Slant height =5/3R

Lateral surface area = $\frac{1}{2}R^{2}\beta$ [R = slant height]

Given lateral surface area =60 $\pi$ = $\frac{1}{2}(\frac{5R}{3} )^{2} \beta$ ...................................1

$2\pi R=\frac{5R}{3}\beta$ ................................................2

$\beta=\frac{6\pi }{5}$

Put angle beta in equation 1 and find the value of R

R =6 cm

Height = $\frac{4R}{3}$

Thus volume = $\frac{1}{3}\pi6^{2}*8$

=301.44

4 0

3 years ago

The perimeter of a rectangle swimming pool is a 114 ft. The width is 7ft more than the lenth. Find lenght and width

Margaret [11]

Answer:

Length- 14 Width- 100

Step-by-step explanation:

First: 7x2=14

Then: 114-14=100

Hope this helps

-Mercury

7 0

3 years ago

Read 2 more answers

Using the graph as your guide, complete the following statement.

ollegr [7]

Answer:

positive

Step-by-step explanation:

the discriminant of the function is postive.

because from the graph we notice that it has 2 intercepts on x-axis, which means the function has 2 real solution when y=0

that implies the discriminant is positive.

$\Delta = \sqrt{b^2-4ac}$

if $\Delta > 0$ we have 2 distinct real solution

if $\Delta$ we have no real solution but 2 complex solutions

if $\Delta = 0$ we have 2 identical real solution

7 0

3 years ago

16. Model Real Life Your aunt and uncle

earnstyle [38]

The amount of each payment is $699.

What is payment?

Payment refers to the exchange of something of value as a condition of a contract. While one party pays money and receives something else of value, the other party gets paid in return for delivering a good or service. Physical currency was once the most common form of payment, but nowadays most forms of payment use technology.

Given: Buy 2 personal watercrafts for $3,495 each.

So, the price for 2 watercrafts is, 2 x $3495 = $6990

They make 10 equal payments for the watercrafts.

So each payment is of $6990/10 = $699.

Hence, the amount of each payment is $699.

To know more about payment, click on the link

brainly.com/question/25793394

#SPJ1

3 0

1 year ago