The area of the triangle below is 4.06 square meters. What is the length of the base?
2.8 m
ET

Answer:

0.0228

Step-by-step explanation:

Trust <3 like fr I just did it on Khan

Answer:

711 ft (nearest foot)

Step-by-step explanation:

Create two equations using trig ratios and the information given (refer to the attached diagram).  Equate the equations and solve.

First equation

Let y = horizontal distance between sensor 1 and the aircraft

Let h = height of aircraft above the ground

Using the tangent trig ratio:

[tex]\mathsf{\tan(\theta)=\dfrac{opposite \ side}{adjacent \ side}}[/tex]

Given:

[tex]\implies \mathsf{\tan(20)=\dfrac{h}{y}}[/tex]

Rearrange to make y the subject:

[tex]\implies \mathsf{y=\dfrac{h}{\tan(20)}}[/tex]

Second equation

Let y + 700 = horizontal distance between sensor 2 and the aircraft

Let h = height of aircraft above the ground

Using the tangent trig ratio:

[tex]\mathsf{\tan(\theta)=\dfrac{opposite \ side}{adjacent \ side}}[/tex]

Given:

[tex]\implies \mathsf{\tan(15)=\dfrac{h}{y+700}}[/tex]

Rearrange to make y the subject:

[tex]\implies \mathsf{y=\dfrac{h}{\tan(15)}-700}[/tex]

Now equate the 2 equations and solve for h:

[tex]\implies \mathsf{\dfrac{h}{\tan(20)}=\dfrac{h}{\tan(15)}-700}}[/tex]

[tex]\implies \mathsf{700=\dfrac{h}{\tan(15)}-\dfrac{h}{\tan(20)}}[/tex]

[tex]\implies \mathsf{700=\dfrac{h\tan(20)-h\tan(15)}{\tan(15)\tan(20)}}[/tex]

[tex]\implies \mathsf{700=\dfrac{\tan(20)-\tan(15)}{\tan(15)\tan(20)}h}[/tex]

[tex]\implies \mathsf{h=\dfrac{700\tan(15)\tan(20)}{\tan(20)-\tan(15)}}[/tex]

[tex]\implies \mathsf{h=710.9678247...}[/tex]

Therefore, the height of the aircraft is 711 ft (nearest foot)

9514 1404 393

Answer:

Step-by-step explanation:

Time per mile can be found by dividing hours by miles:

  (1/8 h)/(3/8 mi) = 1/3 h/mi

It will take him 1/3 hour to run 1 mile.

__

Miles per hour can be found by dividing miles by hours (or by finding the reciprocal of the above value):

  (3/8 mi)/(1/8 h) = 3/1 mi/h = 3 mi/h

He could run 3 miles in one hour.

Answer:  15

Step-by-step explanation:

Answer:

519.50

Step-by-step explanation:

A = P [tex](1 + r)^{n}[/tex]

A = 300[tex](1 + .04)^{14}[/tex]

A = 300(1.7316764476)

A = 519.502934281

A = 519.50

Answer:

y = -2x + 1

Step-by-step explanation:

The linear equation is generally written in y = mx + b form. Since m (the value of the slope) is already given, only the value of b must be determined. To do this, plug in x, y, and m for their values in the equation to get:

13 = -2 (-7) + b

Then, simplify.

13 = 14 + b

b = -1

Once you find the b value, plug everything back in and get y = -2x + 1.

Answer:

k=1

Step-by-step explanation:

According to the remainder Theorem, if we have a polynomial then if it divided by (x-a), the remained will be equal to

[tex]f(a)[/tex]

So we know that the factor is

[tex](x - k)[/tex]

So plug in k into the polynomial

[tex]f(k) = k {}^{3} + k(k) {}^{2} - 2(k) + 1 = k[/tex]

[tex]k {}^{3} + k {}^{3} - 2k + 1 = k[/tex]

[tex]2k {}^{3} - 3k + 1 = 0[/tex]

Solve for k.

Using Rational Roots Theorem, one possible root is 1 so we have

[tex]2k {}^{2} + 2k - 1 = 0[/tex]

Since that is irreducible over reals, 1 is our only factor so k=1.

Answer:

Step-by-step explanation:

6.1 / 5 ( 12b + 5 )

b = 5/6

by substituting,

6.1 / 5 ( 12 × 5/6 + 5 )

1.22 × 15

= 18.3

Hope this helps

plz mark as brainliest!!!!!!!

Stay safe!!

Answer:

80 pages

Step-by-step explanation:

If Joe has read 30% and 56 pages is 70% of the book. We divide 56 by 7 and get 8 meaning that 10% of the book is 8. Once we know this we multiply 8 x 10 and get the amount of pages in the book 80

Answer:

There are 80 pages left.

Step-by-step explanation:

100% - 30% = 70%

70% = 56 pages

Insert x into a equation.

0.7x = 56

Multiply by 10 on both sides to get rid of the decimal.

0.7x = 56

· 10     ·10

Divide by 7 on both sides to get x by itself.

7x = 560

     7

x = 80

Answer:

for a single pizza 1/10 a cup

for 12 pizzas 1 1/5 a cup

you can make 56 pizzas with 5 2/3 cups.

Step-by-step explanation:

for 5 pizzas you need 1/2 cup of flour, so to find out how much you'll need for a single pizza you'll need to divide it with 5. 1/2÷5=1/10

for a dozen pizzas you'll need to multiply that with 12. 1/10x12=12/10=1 1/5

Then to find out how many can we make with 5 2/3 cups we'll divide it with that 1/10

56/10÷1/10= 56 pizzas

Answer:

(-3,-1)

Step-by-step explanation:

Answer:

[tex]\displaystyle y + 6 = -\frac{2}{3}(x + 9)[/tex]

Explanation:

In the Point-Slope formula, [tex]\displaystyle y - y_1 = m(x - x_1),[/tex]−C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so be very careful with those minus symbols.

I am joyous to assist you at any time.

D. As one variable decreases, the other increases.

A negative linear association means that as one variable decreases, the other variable increases. This indicates an inverse relationship between the two variables.

As the value of one variable decreases, the value of the other variable tends to increase consistently and vice versa. This pattern can be observed when plotting the data points on a scatter plot, where the points tend to form a downward sloping line.

Option A is incorrect because a negative linear association implies a clear relationship between the variables, unlike no relation. Option B is incorrect because it describes a positive linear association, where both variables increase together.

Option C is incorrect because the presence of both negative and positive numbers does not necessarily indicate a negative linear association. The key characteristic of a negative linear association is the inverse relationship between the variables as described in option D.

for such more question on variable

https://brainly.com/question/18042457

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Answer:

32 students

Step-by-step explanation:

Answer:

the answer is -1

Step-by-step explanation:

Answer:

The answer is -1

Step-by-step explanation:

If you have 3 and you take away 4, so you end up with a negative number. or what you can do is also just flip the numbers around so subtract 4 minus 3 and put a negative sign when the first number is less than the second one!!

Hope this helps!!!!

Answer:

29 Hope this helps

Step-by-step explanation:

"Given expression is :  

First we will simplify both numerator and denominator separately using order of operations. So....

Thus the expression.... "

-Sicista

Answer:

180 miles

Step-by-step explanation:

You must find 40% of 450 and you can make the of into an x (multiplication symbol) like so:

40% x 450

Now, percent's are fractions, and 100% is equal to one whole or 1. To make 40% a fraction, simply just place a decimal in front of the 4, like so:

.40 or 0.40 or 0.4 or .4

Now place that in the equation:

0.40 x 450

Solve:

 450.00

x     0.40

___________

  180.00

       ^

(!Important! !Always bring down the decimal in the exact place it was at in first place!)

Check:

180 = 40%

450 = 100%

(To get 450 you must multiply 100 by 4.5, therefore you multiply 40 by 4.5 to get 180)

Answer:

Michael ran 180 miles in bad weather.

Answer:

[tex]z = 2. \\ 5 \div z \\ 5 \div 2 \\ 2.5[/tex]

Thank you ☺️☺️

Answer:

c; infinite solutions

Step-by-step explanation:

to solve this system of equations you can use elimination

you can divide all of the top by 2

you get

3x + y = 6

and then

-3x - y = -6

but then when you subtract them you get 0 = 0

this means it is infinite solutions

another way to tell that it is infinite solutions is by seeing if the equations are the same

-3x - y = -6 is just 3x + y = 6 but everything is multiplied by -1

Answer:

INFINITE SOLUTIONS

Step-by-step explanation:

So let's solve this system using elimination

we can convert the second equation to

-6x-2y = -12

6x+2y = 12

if we add these to equations we get 0 = 0

therefore, there are infinite solutions to this system

Answer:

I used an Egyptian numeral converter.

Step-by-step explanation:

Points are

Slope:-

[tex]\\ \rm\rightarrowtail m=\dfrac{-7+8}{-5-10}[/tex]

[tex]\\ \rm\rightarrowtail m=-\dfrac{1}{15}[/tex]

Answer:

Step-by-step explanation:

Given

Total fees

Answer:

$9.75

Step-by-step explanation:

Take the percentage off what he withdrew.

2.5% = 0.025

150 * 0.025 = 3.75

Add the transaction fee.

6 + 3.75 = $9.75

Best of Luck!

<B be y

[tex]\\ \sf\longmapsto y+21=90[/tex]

[tex]\\ \sf\longmapsto y=90-21[/tex]

[tex]\\ \sf\longmapsto y=69°[/tex]

<A=69°

Answer:

The measure of ∠B is 69°

Step-by-step explanation:

Given :

=> ∠A + ∠B = 90°

=> 21° + ∠B = 90°

=> ∠B = 90°- 21°

=> ∠B = 69°

Answer:

9 pounds of shrimp will be sold in 9 hours i think.

i dont realy understand the way u wrote it but pls put brainliest

Answer:

yea i thik hes right

Step-by-step explanation:

Answer:

y = 2.667x + 5

Answer:

1.

Step-by-step explanation:

To find the y-intercept of an equation, you substitute 0 for x in the function.

f(x)=(1/3)^x

f(x)=(1/3)^(0)

f(x)=1

Answer:

x = ±4

Step-by-step explanation:

x^2 = 16

Take the square root of each side

sqrt(x^2) = ±sqrt(16)

x = ±4