For isosceles AJKL shown below, which of the following is the measure of ZK to the nearest tenth of a
degree?
15
15
22
K
O 34.3
42.8
46.5
0 47.00

Answer:

Step-by-step explanation:

ΔLMN = ΔOPR ----- (given)

NM / NL = RP / RO

19 / 34 = 60 / RO

RO = 60 × 34 ÷ 19

RO = 107.36

Answer:

75

Step-by-step explanation:

I'm not sure l am strugging with this topic too

Answer:

9 ft

Step-by-step explanation:

Hope this helps!

Have a great day!

Answer:

Step-by-step explanation:

so by "exact" they mean leave in the [tex]\sqrt{x}[/tex] parts.... sooo

they tell us the Hypotenuse  ( Hyp) and one  angle and want that side Opposite ( Opp)  of the angle... sooo use the mnemonic

SOH CAH TOA  

to help remember how the sin , cos, and tan functions fit on a triangle

there problems b/c easy A's when you get this.  :P so learn it, know it, live it  :D

Sin = Opp / Hyp

Cos = Adj / Hyp

Tan = Opp / Adj

now look at which one of the above formulas have the things we know and want to find

Sin looks like a good choice b/c it's got  Opp, which we want to find, and Hyp which we know and also an angle which we can plug into the function

Sin(45) = Opp / 6

see how I got that?

[tex]\sqrt{2}[/tex] / 2 = Opp / 6

6 ( [tex]\sqrt{2}[/tex] / 2 ) = Opp

3[tex]\sqrt{2}[/tex]  = Opp

the problem says leave it exact.. so don't try to reduce [tex]\sqrt{2}[/tex]  just leave it

there is  your answer

X  = 3[tex]\sqrt{2}[/tex]

Answer:

7.142857142857143

Step-by-step explanation:

500/70*10=answer above.

ratio of 500 km to 100 km is 5 : 1

Answer:

92.5

Step-by-step explanation:

Answer:

We combine like terms to get [tex]10x^{2} + 3x - 6[/tex]

Hope this helps!

Answer:

Given that is a 45-45 triangle, the hypotenuse should be x[tex]\sqrt{2}[/tex], so in this case. The hypotenuse should be 3[tex]\sqrt{2}[/tex], and the other side lengths 3. I see no other way of it going other than that one; I hope I helped at least a bit!

Step-by-step explanation:

Answer:

base =3in and hypotenuse =3√2

Step-by-step explanation:

relationship between perpendicular and hypotenuse is given by sin angle

sin 45=p/h

sin45=3in/h

h=3in/sin45=3√2 inch

relationship between perpendicular and base is given by tan angle

tan45=P/b

b=3in/tan45=3in

Answer:

A

Step-by-step explanation:

4(y+4)=48

4y +16 =48

48-16=4y

32=4y

y=32/4

y=8

Answer:

A. 8

Step-by-step explanation:

4(y+4)=48

(y+4)=48/4

y+4=12

y=12-4

y=8

HOPE THIS HELPS

Answer:

18π

Step-by-step explanation:

Answer:

Step-by-step explanation:

34/3 is a fraction.

Any number that can be expressed as a fraction is a rational number.

Correct choice is C

Answer:

9/4 or 2 1/4 cups of sugar.

Step-by-step explanation:

To find the answer we multiply 3/4 by 3.  Because the bottom stays the same, we wont multiply it.  Since 3 x 3 = 9, it will be 9/4.  Therefore, 9/4 or 2 1/4 is your answer.

Answer:

A = 20 + 2p

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

because i know and you have to trust me

Answer:

B) -1/2

Step-by-step explanation:

Slope is change in y divided by change in x.

So, 6-4/-4-0 = 2/-4 so reduces to -1/2

Answer:

Slope = -4

Step-by-step explanation:

Slope = change in y ÷ Change in x

         [tex]= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\= \frac{0-4}{5-4}\\\\= \frac{-4}{1}\\\\= - 4[/tex]

Answer:

2 units. Hope this helps!

A≈50.27cm²

Using the formulas

A=πr2

d=2r

Solving forA

A=1

4πd2=1

4·π·82≈50.26548cm²

Answer:

16π cm^2

Step-by-step explanation:

The formula for the area of a circle is [tex]\pi r^{2}[/tex], r being the radius. The radius is always half of the diameter, so in this case, the radius is 4. [tex]4^{2}[/tex] is just 4 * 4 which is 16. Multiply that by π and you get 16π. Or, approximately 50.27 cm^2

Answer:

11'12

Step-by-step explanation:

so peter is 5'6, and his shadow is 3'3, which means that its subtracted by 2'3, therfore the flagpole is 11'12, hope this helps :)

Answer:

79, 007, 000

Step-by-step explanation:

79, 007, 000

Hope that helps!

Answer:

seventy-nine million seven thousand

Step-by-step explanation:

#WhenYouSideStepTheProblem

Answer:

[tex]EF=4\sqrt{3}[/tex]

Step-by-step explanation:

In rectangle ABCD, AB = 6, BC = 8, and DE = DF.

ΔDEF is one-fourth the area of rectangle ABCD.

We want to determine the length of EF.

First, we can find the area of the rectangle. Since the length AB and width BC measures 6 by 8, the area of the rectangle is:

[tex]A_{\text{rect}}=8(6)=48\text{ cm}^2[/tex]

The area of the triangle is 1/4 of this. Therefore:

[tex]\displaystyle A_{\text{tri}}=\frac{1}{4}(48)=12\text{ cm}^2[/tex]

The area of a triangle is half of its base times its height. The base and height of the triangle is DE and DF. Therefore:

[tex]\displaystyle 12=\frac{1}{2}(DE)(DF)[/tex]

Since DE = DF:

[tex]24=DF^2[/tex]

Thus:

[tex]DF=\sqrt{24}=\sqrt{4\cdot 6}=2\sqrt{6}=DE[/tex]

Since ABCD is a rectangle, ∠D is a right angle. Then by the Pythagorean Theorem:

[tex](DE)^2+(DF)^2=(EF)^2[/tex]

Therefore:

[tex](2\sqrt6)^2+(2\sqrt6)^2=EF^2[/tex]

Square:

[tex]24+24=EF^2[/tex]

Add:

[tex]EF^2=48[/tex]

And finally, we can take the square root of both sides:

[tex]EF=\sqrt{48}=\sqrt{16\cdot 3}=4\sqrt{3}[/tex]

Answer:

4\sqrt3

Step-by-step explanation:

we know that the area is 6 * 8 = 48 cm^2. because triangle DEF is one fourth of that, triangle DEF's area would be 12.

to find the hypotenuse of triangle DEF, we would first need to find the bases (which have equal lengths). 1/2 * b * b = 12, so b^2 = 24. using the pythagorean theorem, we have \sqrt24 + \sqrt24 = h^2 which means h is the sqrt of 48. simplified, we have 4\sqrt3.

Answer:

x(x+1)=10(x+1)+26

Step-by-step explanation:

Let the two consecutive positive integers be x and x+1.

The product of these two integers is x(x+1).

The largest of the two numbers is x+1.

By given, x(x+1)=10(x+1)+26.

Solved for the value of y and found that y = 5.

In the Pythagorean theorem, the sum of the squares of the sides of a right-angled triangle is equal to the square of the longest side i.e, the hypotenuse of the triangle.

z² = x² + y²

The given triangle is a right-angled triangle. This means that we can use the Pythagorean theorem.

∴ y² + 12² = 13²

⇒ y² + 144 = 169

⇒ y² = 169-144

⇒ y² = 25

⇒ y = 5

Therefore, we have solved for the value of y and found that y = 5. The correct answer is option C.

Learn more about the Pythagorean theorem here-https://brainly.com/question/343682

#SPJ2

Answer:

67

Step-by-step explanation:

Number: AB

A = B-1

BA + AB = 143

10*B + A + 10*A + B = 143

11A + 11B = 143

A + B = 13

(B-1) + B = 13

2B = 14

B = 7

A = 6

The number is 67

check: 6 = 7-1   and   67 + 76 = 143

Answer:

1) y=4/5x-8

3) y=7/5x -2

Step-by-step explanation:

Slope- intercept form is y=mx+b (y = (slope)x+ (y-intercept))

I hope this helps :)

Answer:

-540

Step-by-step explanation:

5(25x+ 2x - 4)

5(27x - 4)

-540

Answer:

Step-by-step explanation:

The slope-intercept formula is:

y = m x + b,

or: y = b - m x, since the rate is negative.

For the 1st formula we have: y = 30 and x = 2

For the 2nd formula: y = 12 and x = 5 ( because: 5 = 2 + 3, or : 3 minutes later, which can be confusing  )

30 = b - 2 m

12 = b - 5 m

--------------------

b = 30 + 2 m

12 = 30 + 2 m - 5 m

3 m = 18

m = 18 : 3 = 6

b = 30 + 2 * 6 = 30 + 12 = 42

Answer:

y = 42 - 6 x