Find a formula for the function f(x) such that f′(x)=sin(x) and f(2)=5.

Set up a ratio with height over shadow height:

40/30 = x/15

Cross multiply:

40 x 15 = 30x

600 = 30x

Divide both sides by 30:

X = 20

The tree is 20 feet tall.

Answer:

20

Step-by-step explanation:

It tells you that a 40 foot pole casts a 30 foot then it asks you how tall is a tree if it casts a 15 foot shadow. We see that 30 is exactly 2 times 15

30 = 2 * 15

So we simply do that to 40 too.

40 / 2 = 20

So 20 is our answer.

Answer:

Q

Step-by-step explanation:

Answer: Q, it's the only horizontal line

Answer:

The required numbers are:

First number = 4

Second number = 0

Step-by-step explanation:

Let First number = x

second number = y

We are given:

One number is four more than a second number.

Writing in mathematical form:

[tex]x=y+4[/tex]

Two times the first number is 8 more than four times the second

Writing in mathematical form:

[tex]2x=4y+8[/tex]

Now, we will solve these equations by substitution to find values of x and y

Let:

[tex]x=y+4--eq(1)\\2x=4y+8--eq(2)[/tex]

Now, putting value of x from eq(1) into eq(2)

[tex]2x=4y+8\\Put\:x= y+4\\2(y+4)=4y+8\\2y+8=4y+8\\2y-4y=8-8\\-2y=0\\y=0[/tex]

So, we get y=0

Now put value of y in equation 1 to get value of x

[tex]x=y+4\\x=0+4\\x=4[/tex]

So, we get x=4

So, the required numbers are:

First number = 4

Second number = 0

The counterexample can be the angle can be 105 degrees.

A counterexample is an example in which the hypothesis is true, but the conclusion is false. If you can find a counterexample to a conditional statement, then that conditional statement is false.

However, showing that a mathematical statement is false only requires finding one example where the statement isn't true. Such an example is called a counterexample because it's an example that counters, or goes against, the statement's conclusion.

Given statement:

if an angle is acute then it measures 20 degrees

As, we know counterexample is an example in which the hypothesis is true, but the conclusion is false.

Also, acute angles measure less than 90 degrees.

Thus, the counter example will be if an angle is acute then it measures 105 degrees

Learn more about counter example here:

https://brainly.com/question/28746172

#SPJ2

Answer:

sin A= 3/5

sin C= 4/5

cos A= 4/5

cos C= 3/5

Answer:

(6 , -9) (7, -9)

Or

(6, 11) (7, 11)

Step-by-step explanation:

Given: Two of the vertices of a rectangle are (6,1) and (7,1)

Perimeter= 18 units

To get the value of "x"

The distance between Two point can be calculated as (6-7)=-1

Then x= -1

We can get the value of "y" by using expression for perimeter,

The perimeter P= 2x+2y=18

= 2(-1)+2y= 18

-2+2y=18

2y=18+2

2y= 20

y=10

The "y" coordinate can move up or can move down

y1=( 1-10)=-9

Or

y2=( 1+10)=11

Hence, the two other points are;

(6 , -9) (7, -9)

Or

(6, 11) (7, 11)

Answer:

Answer: 2.854, 2.81, 2.086

2.854, 2.81, 2.086

You have to look from left to right to see which number will be greater in the intended value. Ones then tenths then hundredths so forth.

Answer:

y = 62, x = 122

Step-by-step explanation:

Every triangle's sum of interior angles = 180°.

60 + 58 + y = 180

118         + y = 180

y                  = 62

Supplementary angles are adjacent angles that make up a straight angle (180 degrees)

58 + x = 180

x          = 122

Answer:

x = 122°, y = 62°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the 2 given angles from 180 to find y

y = 180° - (60 + 58)° = 180° - 118° = 62°

x and 58° are adjacent angles and are supplementary, thus

x = 180° - 58° = 122°

Answer:

its associative property

Step-by-step explanation:

2+d=2+d

d=2

Step-by-step explanation:

m<1=41

m <2=85

m<3=95

m<4=85

m<5=36

m<6=49

m <7=106

Answer:

k can either be

12

or

−

12

.

Step-by-step explanation:

Consider the equation

0=x2+4x+4

. We can solve this by factoring as a perfect square trinomial, so

0=(x+2)2→x=−2 and−2

. Hence, there will be two identical solutions.

The discriminant of the quadratic equation (b2−4ac) can be used to determine the number and the type of solutions. Since a quadratic equations roots are in fact its x intercepts, and a perfect square trinomial will have

2 equal, or 1

distinct solution, the vertex lies on the x axis. We can set the discriminant to 0 and solve:

k2−(4×1×36)=0

k2−144=0

(k+12)(k−12)=0

k=±12

Answer:

No, it is a obtuse triangle instead

Step-by-step explanation:

So, you use pythagorean and theorem which is a^2 + b^2 = c^2

So when you plugin in the numbers, it's 20^2__ 12^2 + 12^2

When you square them you get left with 400__144 + 144

Then, you add 144 + 144 = 288

But since 400 is > than 288, then it's an obtuse triangle.

Answer:

No

Step-by-step explanation:

It does not follow the Pythagorean Theorem, which states that the two shorter sides squared (squared BEFORE added together).  12 squared is 144, and 144 plus 144 equals 288.  20, which seems to be the hypotenuse, squared is 400.  288 does not equal 400.

Answer:

It's D.

Step-by-step explanation:

Got it on edge

Answer:

yep its D

Step-by-step explanation:

Answer: D

Step-by-step explanation: for each answer they were at least going to interact with each other, unlike answer D

Answer:

80%

90%

Step-by-step explanation:

BRAINLIEST PLEASE

Answer:

225.75

Step-by-step explanation:

210*7.5%=15.75

add that 15.75 to 210

Answer: No. Kendall did not correctly determine the new balance. The new balance is -$1840.

Step-by-step explanation:

From the question, we are informed that Kendall's business spent more money than it collected, and therefore the business's balance sheet showed a balance of -$1,280 at the end of the month. We are informed that the next day, Kendall's business spent $560 on new tools.

Therefore, since Kendall made a purchase, this is an expense and we have to subtract it from the previous balance. This will be:

= -$1280 - $560

= - $1840

The new balance is -$1840

Answer:

She is not correct. The correct answer should be -$1840

Step-by-step explanation:

Explanation: Kendal is ultimately wrong, because in his step in adding the $560 spent on new tools, she had added a positive number, which meant they deposited money to go out of debt. Instead he was supposed to subtract the $560, or even add -$560 to the businesses balance. If calculated correctly, by subtracting $560 to the current balance, it would get us to -$1840.

Answer:

C = 4x+ 16

Step-by-step explanation:

We know that When two parallel lines are cut by a third line, the third line is called the transversal, forming 8 angles.

From the attached diagram,

∠E and (2x+8) are vertical angles formed by the transversal line.

We know that vertical angles are equal.

Hence,

∠E = (2x+8)

∠A and ∠E are called the corresponding girls.

as

∠E = (2x+8)

so

∠A = ∠E = (2x+8)

Therefore,

C = m∠A + m∠E

C = 2x+8 + 2x+8

C = 4x+ 16

Therefore,

C = 4x+ 16

Answer: decimal form is

2.92401773 or 2.92

Step-by-step explanation:

Answer:okay so it would be [tex]\sqrt{x} 25[/tex] without the little x though

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

7x+2=4x+11 ---> subtract 2 to the other side and subtract 4x to the other side

7x-4x=11-2 ---> combine like terms

3x=9 ---> divide by 3

x=3

Answer:

x = 3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

7x + 2 = 4x + 11

Step 2: Solve for x

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Here we see that 23 does indeed equal 23.

∴ x = 3 is the solution to the equation.

Answer: Let's solve for x.

2x−10y=10

Step 1: Add 10y to both sides.

2x−10y+10y=10+10y

2x=10y+10

Step 2: Divide both sides by 2.

2x

2

=

10y+10

2    answer

    x=5y+5

Step-by-step explanation:

Let's solve for s.

sx+9y=9

Step 1: Add -9y to both sides.

sx+9y+−9y=9+−9y

sx=−9y+9

Step 2: Divide both sides by x.

sx

x

=

−9y+9

x

s=

−9y+9

x

Answer:                         hope this helps:)

s= -9y+9/x

Answer:

156.25

Step-by-step explanation:

150 ÷ 96%

= 156.25

Answer (Three Different Forms):

Decimal:

156.25

Fraction:

[tex]\frac{625}{4}[/tex]

Mixed Number:

[tex]156\frac{1}{4}[/tex]

Step-by-step explanation:

96% is the same as 0.96, and so this problem can be written algebrically as:

0.96 ⋅ x = 150

Solve for x by dividing both sides of the equation by 0.96 to isolate the variable:

x = [tex]\frac{150}{0.96}[/tex]

Divide/simplify [tex]\frac{150}{0.96}[/tex] to get the following three options (you can choose which one to use):

Decimal:

156.25

Fraction:

[tex]\frac{625}{4}[/tex]

Mixed Number:

[tex]156\frac{1}{4}[/tex]

Hope this helps! :)

Answer:

distribuative property of addition

Step-by-step explanation:

Answer:

I'm going to say expanded form

Step-by-step explanation:

Answer:

(x+3) is a factor of your question

Step-by-step explanation:

x²-6x-27

x²+3x-9x-27

x(x+3)-9(x+3)

(x+3)(x-9)

Answer:

Hope it can help you and please mark me as a brainlist .....

Answer:

I believe it's 1.333

Step-by-step explanation: