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Nady [450]
3 years ago
5

Solve the equation x2 + 64 = 100

Mathematics
1 answer:
anyanavicka [17]3 years ago
7 0

Answer:

x = ± 6

Step-by-step explanation:

Given

x² + 64 = 100 ( subtract 64 from both sides )

x² = 36 ( take the square root of both sides )

x = ± \sqrt{36} = ± 6

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Triangle P Q R is shown. Angle Q R P is a right angle. Angle R P Q is 30 degrees and angle P Q R is 60 degrees. Given right tria
mote1985 [20]

Answer:

The correct option is option (c).

Sin \ P= \frac {RQ}{PQ}

Step-by-step explanation:

Right angled triangle:

  • One angle must be 90° and other two angles are acute angle.
  • The hypotenuses is the longest side of the triangle and opposite right angle.
  • It follows the Pythagorean Theorem.

Given that,

∠QRP= 90°, ∠RPQ= 30°, ∠PQR = 60°

we know that,

sin \theta =\frac{Opposite }{Hypotenuse}

for sin P , the opposite is QR.

The hypotenuse is PQ.

Therefore,

Sin \ P= \frac {RQ}{PQ}

5 0
3 years ago
Read 2 more answers
the taco truck sells tacos for $3 and burritos for $4. the number of items sold on a tuesday is 125 with a total income of $430.
butalik [34]

Answer:

Step-by-step explanation:

Hi, to answer this question we have to write a system of equations:

3 T + 4 B =425

T + B = 125

Where T is the number of tacos sold, and B is the number of burritos sold.

Multiplying the second equation by 3, and subtracting it to the first equation:

3 T + 4 B =425

3T + 3B = 375

___________

B =50

Replacing B in any equation:

T + B = 125

T +50 =125

T =125-50

T = 75

Feel free to ask for more if needed or if you did not understand something.

5 0
3 years ago
Solve Highschool Pre cal
Bezzdna [24]

Option C:

\ln 64 y^{2}

Solution:

Given expression: 2 ln 8 + 2 ln y

Applying log rule a \log b=\log b^{a}  in the above expression.  

⇒ 2 \ln 8+2 \ln y=\ln 8^{2}+\ln y^{2}

Applying log rule \log a+\log b=\log (a b) in the above expression.

⇒ \ln 8^{2}+\ln y^{2}=\ln \left(8^{2} y^{2}\right)

We know that 8^{2}=64

⇒ \ln \left(8^{2} y^{2}\right)=\ln 64 y^{2}

Hence, the expression in single natural logarithm is \ln 64 y^{2}.

6 0
3 years ago
Explain in 1-2 sentences how you identify
andrezito [222]

Answer:

You can tell because, as x increases/decreases, y increases/decreases at the same rate EACH TIME. This way, no matter how many times the proportions increase OR decrease, the ratio between x and y always stays the same.

8 0
3 years ago
Leah likes to stretch 5 minutes for every 10 minutes of dancing. How many minutes should she stretch if she is doing a 50 minute
tangare [24]
Let's set up a proportion.
5/10=?/50
We know that ten times 5 equals 50, so we can multiply the numerator, 5, by 5 to get our answer (what you do to the denominator, you must also do to the numerator).
5x5=25
The answer is 25,
7 0
3 years ago
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