All categories

3 years ago

The figure shows a ladder leaning against a wall, forming a triangle. What is the value of x in the figure?

Mathematics

1 answer:

velikii [3]3 years ago

3 0

D. 24 degrees
A triangle is 180 degrees in all.
A right angle is 90 degrees.
You subtract 66 from 180 and then 90 from your answer. What you are left with is x.
180-66= 144
144-90=24 degrees
I hope this helps!

You might be interested in

Given that √5 = 2.24 and √50= 7.07 , find √500 and √0.5

sineoko [7]

Answer:

see explanation

Step-by-step explanation:

using the rules of radicals

$\sqrt{a}$ × $\sqrt{b}$ ⇔ $\sqrt{ab}$

$\sqrt{\frac{a}{b} }$ ⇔ $\frac{\sqrt{a} }{\sqrt{b} }$

then

$\sqrt{500}$

= $\sqrt{100(5)}$

= $\sqrt{100}$ × $\sqrt{5}$

= 10 × 2.24

= 22.4

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

$\sqrt{0.5}$

= $\sqrt{\frac{50}{100} }$

= $\frac{\sqrt{50} }{\sqrt{100} }$

= $\frac{\sqrt{50} }{10}$

= $\frac{7.07}{10}$

= 0.707

3 0

2 years ago

15 pts. Prove that the function f from R to (0, oo) is bijective if - f(x)=x2 if r- Hint: each piece of the function helps to "c

solniwko [45]

Answer with explanation:

Given the function f from R to $(0,\infty)$

f: $R\rightarrow(0,\infty)$

$-f(x)=x^2$

To prove that the function is objective from R to $(0,\infty)$

Proof:

$f:(0,\infty )\rightarrow(0,\infty)$

When we prove the function is bijective then we proves that function is one-one and onto.

First we prove that function is one-one

Let $f(x_1)=f(x_2)$

$(x_1)^2=(x_2)^2$

Cancel power on both side then we get

$x_1=x_2$

Hence, the function is one-one on domain [tex[(0,\infty)[/tex].

Now , we prove that function is onto function.

Let - f(x)=y

Then we get $y=x^2$

$x=\sqrt y$

The value of y is taken from $(0,\infty)$

Therefore, we can find pre image for every value of y.

Hence, the function is onto function on domain $(0,\infty)$

Therefore, the given $f:R\rightarrow(0.\infty)$ is bijective function on $(0,\infty)$ not on whole domain R .

Hence, proved.

3 0

3 years ago

What is bigger 24 fl. Oz. Or 8 cups?

Rudik [331]

Answer:

8 Cups.

Step-by-step explanation:

8 Cups is 64 Fl Oz, while 24 Fl Oz is only 3 cups.

3 0

3 years ago

Read 2 more answers

Becca and Kimberly are running at a constant speed in a marathon. Becca runs at 4.5 miles per hour. Kimberly’s progress is shown

Georgia [21]

Answer:

Part A: Kimberly

Part B:

Becca = 22.5 miles, Kimberly = 25 miles

Step-by-step explanation:

Part A:

Given that Becca runs at a constant speed of 4.5 miles per hour, use the table to find the constant speed that Kimberly runs, and compare who runs faster.

Let x = time

y = distance

k = speed = y/x

Equation for each person can be written as: y = kx

Therefore:

✔️Equation for Becca if k = 4.5

y = 4.5x

✔️Find k (speed) of Kimberly using (2, 10):

Speed (k) = y/x

k = 10/2

k = 5 miles per hour

Equation for Kimberly would be:

y = 5x

Comparing their speed, Kimberly runs faster because she covers more miles per hour than Becca does.

Part B:

For Becca, substitute x = 5 into Becca's equation, y = 4.5x

Thus:

y = 4.5*5 = 22.5 miles

For Kimberly, substitute x = 5 into Kimberly's equation, y = 5x

Thus:

y = 5*5 = 25 miles

5 0

3 years ago

What is 3.4550 rounded to 1 decimal place? * 3 3.4 3.46 3.5

xenn [34]

Answer:

3.5 (D)

Step-by-step explanation:

focusing on the right side of the decimal, 5 rounds 5 to 6. 6 rounds 4 to 5. Anything 5 or above rounds up! So the .5 rounds 4 to 5, making the answer 3.5. So sorry if this doesn't make sense, its kind of hard to explain.

7 0

3 years ago