Given that △DEF is a right triangle and that ∠E=90° with sides DE¯¯¯¯¯=3, DF¯¯¯¯¯=5, and FE¯¯¯¯¯=4, which ratio would be equal to sin(D)?

Answer:

1/10 gallon

Step-by-step explanation:

2/5 left of 1/4 gallon

2/5 x 1/4 = 2/20 = 1/10 gallon

Answer:

x = -6

Step-by-step explanation:

2/3(9+x) = -5(4-x) ( 2/3times9=6, 2/3timesx=2/3x) ( -5times4=-20,-5timesx=-5x)

6 + 2/3x = -20 -5x ( add 20 on both sides)

26 + 2/3x = -5x ( minus 2/3x on both sides)

26 = -4.6x (divided -4.6x on both sides)

-5.6 = x ( round up)

-6 = x

hope this helps

Answer:

Hello There!!

Step-by-step explanation:

The answer is 47 as (18+7)×2-3=47.

hope this helps,have a great day!!

~Pinky~

An expression is defined as a set of numbers, variables, and mathematical operations. The solution for the statement "add 8 and 17, double the sum, and then subtract three​" is 47.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The solution for the statement "add 8 and 17, double the sum, and then subtract three​" can be done as,

2(8+17) - 3

= 47

Hence, The solution for the statement "add 8 and 17, double the sum, and then subtract three​" is 47.

Learn more about Expression:

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#SPJ2

Answer:

2100 second

Step-by-step explanation:

4:30 pm to minutes

4 × 60 + 30 = 240 + 30

= 270 minutes

5:05 to minutes

5 × 60 + 5 = 300 + 5

= 305

4:30 to 5:05

305 - 270

= 35 minutes

35 minutes to second

35 × 60

= 2100 second

Answer:

2100

Step-by-step explanation:

25 minutes you need to know that 60 sec =1 hour.35x60=2100

Answer:

1 Factor out the common term 22.

2(x+3y)=6

2(x+3y)=6

2 Divide both sides by 22.

x+3y=\frac{6}{2}

x+3y=

2

6

3 Simplify \frac{6}{2}

2

6

to 33.

x+3y=3

x+3y=3

4 Subtract 3y3y from both sides.

x=3-3y

x=3−3y

Answer:

x=3 and y=2

Step-by-step explanation:

I hope I"m right and if I am can I be marked brainliest.

Answer:

72 sets

Step-by-step explanation:

(Easy way)

593 -161=432 spoons needed

432/6 =72 sets

(Harder way)

6= 1

432 =x

432 = 6x

x=72

Answer:

Inequality: 6x + 161 ≥ 593

Answer: x ≥ 72

Step-by-step explanation:

Have a good day :)

Answer:

First triangle x=9

Second triangle x=20

Step-by-step explanation:

Using Pythagorean theorem

40^2+x=41^2

1600+x^2=1681

-1600        -1600

x^2=81

To find x we do the opposite of powers and find the squared

x=9

Second triangle

21^2+x^2=29^2

441+x^2=841

-441        -441

x^2=400

x=20

Answer:

See below

Step-by-step explanation:

we are given two functions

[tex] \displaystyle \begin{cases}f(x) = - x + 5 \\ g(x) = {x}^{2} - 3x + 2\end{cases}[/tex]

where f(x) is a linear function and g(x) is a quadratic function

we want to figure out the solutions of the function

let's graph f(x):

the Black-table is attached

let's graph g(x):

the picture is attached

hence, the graph should be

the graph is attached

so we need solution(s) which satisfy(ies) the both functions

in this case the solution (s) the x coordinate(s) where both functions intercept we get from the graph that both functions intercept at (-1,6) and (3,2)

hence,

x={-1,3}

Answer:

$375

Step-by-step explanation:

If she has saved $375, and the price of the phone is also $375, then the price of the phone must be $375.

Answer:

do you still need help?

Step-by-step explanation:

Answer:

[tex]9\,\sin(60^\circ)[/tex], which is equal to [tex]\displaystyle \frac{9\sqrt{3}}{2}[/tex].

Step-by-step explanation:

An angle of [tex]45^\circ[/tex] corresponds to an isosceles right triangle: the length of the two legs (adjacent and opposite) would be equal. Accordingly:

[tex]\displaystyle \tan(45^\circ) = \frac{\text{Opposite Leg}}{\text{Adjacent Leg}} = 1[/tex].

Let [tex]A[/tex] denote the measure of an angle. Double-angle identity for sine:

[tex]2\, \sin(A) \cdot \cos(A) = \sin(2\, A)[/tex].

By this identity:

[tex]\begin{aligned}& (2\, \cos(30^\circ)) \cdot (3\, \sin(30^\circ)) \\ &= 3\, (2\, \cos(30^\circ) \cdot \sin(30^\circ)) \\ &= 3\, \sin(2 \times 30^\circ) \\ &= 3\, \sin(60^\circ)\end{aligned}[/tex].

([tex]A = 30^\circ[/tex] in this instance.)

Hence:

[tex]\begin{aligned}&(3\, \tan(45^\circ)) \cdot (4\, \sin(60^\circ)) - (2\, \cos(30^\circ)) \cdot (3\, \sin(30^\circ)) \\ &= 12\, \sin(60^\circ) - 3\, \sin(60^\circ) \\ &= 9\, \sin(60^\circ)\end{aligned}[/tex].

[tex]\displaystyle \sin(60^\circ) = \frac{\sqrt{3}}{2}[/tex]. Therefore, [tex]\displaystyle 9\, \sin(60^\circ) = \frac{9 \sqrt{3}}{2}[/tex].

Answer:

it would be GCF= xy^2

Step-by-step explanation:

because you have to put the lowest variable for the GCF, therefore, its only 1 x and then y^2

Answer:

its a and d

Step-by-step explanation:

Answer:

in 2hrs =  -6°C

in 5hrs = -15°C

in half an hr = -1.5°C

Step-by-step explanation:

in an hr, the temperature falls by 3°C = 0 -3 = -3°C

in 2hrs = 2*-3°C = -6°C

in 5hrs = 5*-3°C = -15°C

in half an hr = 0.5 * -3°C = -1.5°C

Step-by-step explanation:

Answer:

Wouldnt the temperture go up or down.. if its going up when in 2 hours the temperture would be at 6 degree and for 5 hours its would be at  15 degrees.

Step-by-step explanation:

3+2 5+3

Answer:

8 peanut cookies

Step-by-step explanation:

4 x 12  = 48

48 x  1/3 = 2/3 left             (16 chocolate chip)

48-16= 2/3 = 32 left          

32 x 3/4 = 24                     (24 gingersnaps)

32-24 = 8                          ( 8 peanut cookies)

Answer:

a nonlinear function I think because it's a quadratic one?? kinda

Answer:

The length of the hypotenuse is 37cm

Step-by-step explanation:

we know that the area of the triangle can be found by 1/2bh. we can plug in what we know into this formula to find the height.

a=1/2bh

210=1/2(12)h

210=6h

h=35cm

now, since it's a right triangle, we can find the length of its hypotenuse by using the pythagorean theorem, using c to represent the length of the hypotenuse:

12^2+35^2=c^2

c^2=144+1225

c^2=1369

c=37

so, the hypotenuse is 37cm

The length of the hypotenuse is 21.22 cm

The given parameters are:

Area = 210

Base = 12

Start by calculating the height using:

Height = Area/Base

This gives

Height = 210/12

Divide

Height = 17.5

The hypotenuse is then calculated using:

Hypotenuse = √(Base^2 + Height^2)

This gives

Hypotenuse = √(12^2 + 17.5^2)

Evaluate

Hypotenuse = 21.22

Hence, the length of the hypotenuse is 21.22 cm

Read more about right triangles at:

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Answer:

XuY = { 3,5,6,9,10,12,15}

Answer:

b

Step-by-step explanation:

Answer:

a) p(the student did not do homework and he/she passed the course) = 0.09

b) p(the student did not do homework given that she/he passed the course) = 0.125.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

a. p(the student did not do homework and he/she passed the course)

If a student does not do homework most days, the chance of passing the course is only 30%. 100 - 70 = 30% don't do homework on a regular basis.

So

0.3*0.3 = 0.09

p(the student did not do homework and he/she passed the course) = 0.09

b. p(the student did not do homework given that she/he passed the course)

Conditional probability.

Event A: Passed the course

Event B: Did not do homework.

p(the student did not do homework and he/she passed the course) = 0.09

This means that [tex]P(A \cap B) = 0.09[/tex]

Probability that the student passes the course:

90% of 70%(do homework)

30% of 30%(do not do homework).

This means that:

[tex]P(A) = 0.9*0.7 + 0.3*0.3 = 0.72[/tex]

p(the student did not do homework given that she/he passed the course)

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.09}{0.72} = 0.125[/tex]

So

p(the student did not do homework given that she/he passed the course) = 0.125.

Answer:

I gave the answer right for this

Answer:

(-2, 3)

Step-by-step explanation:

4x + 5y = 7

3x - 2y = -12

Let's solve this by elimination. We want to eliminate one variable at a time. This means we need to multiply the equations to create a common multiple to cancel out a variable.

Let's work with y.

5y and -2y: For these values to cancel out, we need to multiply each term to create a common multiple.

2(4x + 5y = 7)

5(3x - 2y = -12)

Multiply.

8x + 10y = 14

15x - 10y = -60

Eliminate.

23x = -46

Divide both sides by 23.

x = -2

Now that we know x, let's plug it back into one of equations to find y.

4x + 5y = 7

4(-2) + 5y = 7

Multiply.

-8 + 5y = 7

Add.

5y = 15

Divide.

y = 3

Now we know x and y; let's plug both back into the equation we have not checked yet.

3x - 2y = -12

3(-2) - 2(3) = -12

Multiply.

-6 - 6 = -12

Subtract.

-12 = -12

Your solution is correct.

(-2, 3)

Hope this helps!

Answer:

B the error can be reproduced

Answer:

y = 4

Step-by-step explanation:

Given that,

RS= 4y+2, ST = 3y+8, and RT = 38

We need to find the value of y.

As,

RT = RS+ST

Put all the values,

38 = 4y+2+3y+8

38-2-8 = 4y+3y

28 = 7y

y = 4

So, the value of y is equal to 4.

Answer:

We fail to reject H0; Hence, we conclude that there is no significant evidence that the mean amount of water per gallon is different from 1.0 gallon

Pvalue = - 2

(0.98626 ; 1.00174)

Since, 1.0 exist within the confidence interval, then we can conclude that mean amount of water per gallon is 1.0 gallon.

Step-by-step explanation:

H0 : μ= 1

H1 : μ < 1

The test statistic :

(xbar - μ) / (s / sqrt(n))

(0.994 - 1) / (0.03/sqrt(100))

-0.006 / 0.003

= - 2

The Pvalue :

Pvalue form Test statistic :

P(Z < - 2) = 0.02275

At α = 0.01

Pvalue > 0.01 ; Hence, we fail to reject H0.

The confidence interval :

Xbar ± Margin of error

Margin of Error = Zcritical * s/sqrt(n)

Zcritical at 99% confidence level = 2.58

Margin of Error = 2.58 * 0.03/sqrt(100) = 0.00774

Confidence interval :

0.994 ± 0.00774

Lower boundary = (0.994 - 0.00774) = 0.98626

Upper boundary = (0.994 + 0.00774) = 1.00174

(0.98626 ; 1.00174)

Answer:

I already did

Step-by-step explanation:

Answer: 4

Step-by-step explanation:

9514 1404 393

Answer:

  8

Step-by-step explanation:

The product of segment lengths to the near and far circle intersection points is the same for both "secants". AD is a tangent, so the two intersection points are the same point. This gives ...

  AD² = AB·AC

  144 = AB(AB +10)

We can add 25 to complete the square.

  169 = (AB +5)² . . . write as a square

  13 = AB +5 . . . . . . positive square root

  8 = AB . . . . . . . . . .subtract 5