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2 years ago

How can You use mental math for 878 + 534=

2 answers:

6 0

Think of it like your drawing it in your head
in my head i would say 8+4=12 carry the 1 so 7+3+1= 11 carry the 1 then 8+5+ 1= 14 so the answer would be 1,412

Alex Ar [27]2 years ago

4 0

Answer:

the answer would be 1412

Step-by-step explanation: Take the '4' in 534, add it to the 878 in your head. Thus resulting in 882. Then add the 30 to this number. After adding 30, you should get 912. Then add 500, and your answer is 1412.

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Does a triangle with side lengths 7, 80, and 31 from a right triangle?

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What is the square of the longest side?

What is the sum of the squares of the two shorter sides?

Is the triangle a right triangle?

Yes, the square of the longest side equals the sum of the squares of the shorter sides

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2 years ago

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An architect is building a model of a tennis court for a new client. On the model,

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Answer: 78

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Since the rest of the answer are too small to be the length.

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2 years ago

20 POINTS!!!

notka56 [123]

$\dfrac{2}{\sqrt3\cos x+\sin x}=\sec\left(\dfrac{\pi}{6}-x\right)\\\\\dfrac{2}{\sqrt3\cos x+\sin x}=\dfrac{1}{\cos\left(\dfrac{\pi}{6}-x\right)}\ \ \ \ \ (*)\\----------------\\\\\cos\left(\dfrac{\pi}{6}-x\right)\ \ \ \ |\text{use}\ \cos(x-y)=\cos x\cos y+\sin x\sin y\\\\=\cos\dfrac{\pi}{6}\cos x+\sin\dfrac{\pi}{6}\sin x=\dfrac{\sqrt3}{2}\cos x+\dfrac{1}{2}\sin x=\dfrac{\sqrt3\cos x+\sin x}{2}\\------------------------------$

$(*)\\R_s=\sec\left(\dfrac{\pi}{6}-x\right)=\dfrac{1}{\cos\left(\dfrac{\pi}{6}-x\right)}=\dfrac{1}{\dfrac{\sqrt3\cos x+\sin x}{2}}\\\\=\dfrac{2}{\sqrt3\cos x+\sin x}=L_s$

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2 years ago

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. Orlando needs to fix windows in his house. He must buy 3 feets of wood,

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Answer:(7x3)+(4x24)=117

Step-by-step explanation:

Since he needs 3 feet of wood and it is 7 dollar per foot, you need to multiply 7 by 3. Since he needs 4 pieces of glass and its 24 dollars per glass multiply 4 by 24. Add the products. Ur done!

4 0

2 years ago

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Can someone please write this as a single logarithm and show work please and thank you

Mazyrski [523]

Answer:

$log_b(w^3y^4)$

Step-by-step explanation:

To write the expression as a single logarithm, or condense it, use the properties of logarithms.

1) The power property of logarithms states that $log_ax^r = rlog_ax$ . In other words, the exponent within a logarithm can be brought out in front so it's multiplied by the logarithm. This means that the number in front of the logarithm can also be brought inside the logarithm as an exponent.

So, in this case, we can move the 3 and the 4 inside the logarithms as exponents. Apply this property as seen below:

$3log_bw+4log_by\\=log_bw^3+log_by^4$

2) The product property of logarithms states that $log_axy = log_ax+log_ay$ . In other words, the logarithm of a product is equal to the sum of the logarithms of its factors. So, in this case, write the expression as a single logarithm by taking the log (keep the same base) of the product of $w^3$ and $y^4$ . Apply the property as seen below and find the final answer.

$log_bw^3+log_by^4\\=log_b(w^3y^4)$

So, the answer is $log_b(w^3y^4)$ .

4 0

2 years ago