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zloy xaker [14]
1 year ago
8

What is the length of leg s of the triangle below?

Mathematics
2 answers:
Nesterboy [21]1 year ago
6 0
This is an isosceles right triangle as indicated by the 45 degree angles and the right angle. The other side must have the same length since the hypotenuse has to be the longest side in a right triangle.

The answer to this question is 4.
BaLLatris [955]1 year ago
3 0
Option C is your answer. 

a² + b² = c²
4² + s² = (√32)²
16 + s² = 32
s² = 16
s = 4
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Exams are approaching and Helen is allocating time to studying for exams. She feels that with the appropriate amount of studying
svp [43]

Answer: 0.05

Step-by-step explanation:

Let M = Event of getting an A in Marketing class.

S = Event of getting an A in Spanish class,

i.e. P(M) = 0.80 , P(S) = 0.60 and P(M∩S)=0.45

Required probability = P(neither M nor S)

= P(M'∩S')

= P(M∪S)'                                 [∵P(A'∩B')=P(A∪B)']

=1- P(M∪S)                               [∵P(A')=1-P(A)]

= 1- (P(M)+P(S)- P(M∩S))   [∵P(A∪B)=P(A)+P(B)-P(A∩B)]

= 1- (0.80+0.60-0.45)

= 1- 0.95

= 0.05

hence, the probability that Helen does not get an A in either class= 0.05

3 0
2 years ago
Jake went on a riverboat tour. After returning from the tour, he was curious to know the speed at which the boat was going. Duri
atroni [7]
I'm sorry I'm too lazy to read all of that. However, I did get the main point. The river was going at 3 mph. Since he wanted to travel 10 miles upstream and downstream, you would have to subtract 20 by 3. This would mean he was going at a speed of 17 mph. 
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Theo started to solve the quadratic equation (x + 2)2 – 9 = –5. He added 9 to both sides and the resulting equation was (x + 2)2
BigorU [14]

we have

(x + 2)^{2}-9=-5

Adds 9 both sides

(x + 2)^{2}-9+9=-5+9

(x + 2)^{2}=4

square root both sides

(x+2)=(+/-)\sqrt{4}\\(x+2)=(+/-)2\\x1=2-2=0 \\x2=-2-2=-4

therefore

<u>the answer is</u>

the resulting equation is (x+2)=(+/-)2

6 0
2 years ago
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Which function in vertex form is equivalent to f(x) = 4 + x2 – 2x?
viktelen [127]
To express a function of the form f(x)= x^{2} +bx+c in vertex form f(x)=a(x-h)^2+k where (h,k) is the vertex of the parabola, we need to find the vertex first.
To find the vertex we are going to use the vertex formula: h= \frac{-b}{2a}, and k will be the function evaluated at h.
We can infer from our function that a=1 and b=-2. So lets find h:
h= \frac{-b}{2a}
h= \frac{-(-2)}{2(1)}
h= \frac{2}{2}
h=1
Now that we have h, we can evaluate the function at 1 to find k:
f(x)=4+ x^{2} -2x
f(1)=4+(1)^2-2(1)
f(1)=4+1-2
f(1)=3

We have the vertex (1,3) of our parabola, so we can use its vertex form:
f(x)=a(x-h)^2+k
f(x)=1(x-1)^2+3
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We can conclude that the vertex for of our parabola is <span>f(x) = (x + 1)2 + 3.</span>
8 0
2 years ago
Read 2 more answers
The loudness, L, measured in decibels (Db), of a sound intensity, I, measured in watts per square meter, is defined as L = 10 lo
butalik [34]

Answer:

The approximate loudness of a rock concert with a sound intensity of 10^{-1} is 110 Db.

Step-by-step explanation:

The loudness, L, measured in decibels (Db), of a sound intensity, I, measured in watts per square meter, is :L=10 log (\frac{I}{I_0})

I_0=10^{-12}

We are supposed to find  What is the approximate loudness of a rock concert with a sound intensity of 10^{-1}

So, I = 10^{-1}

Substitute the values in the formula :

L=10 log (\frac{10^{-1}}{10^{-12}})

L=10 log (10^{11})

L=110 Db

So, the approximate loudness of a rock concert with a sound intensity of 10^{-1} is 110 Db.

7 0
1 year ago
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