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katen-ka-za [31]
3 years ago
13

Helpppp with this plssss

Mathematics
1 answer:
zavuch27 [327]3 years ago
4 0

Answer:

26.411

Step-by-step explanation:

In 3a+bc-c you have to substitute

a=8.6, b=2.3, c=0.47

3*8.6 + 2.3*0.47 - 0.47 first do the multiplication then addition and subtraction

25.8 + 1.081 - 0.47=

26.411

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What is a number in which the digit 7 is worth 70
eduard

Answer:

Tens, 70, 7x10'1

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3 years ago
Find the exact value of cos(a+b) if cos a=-1/3 and cos b=-1/4 if the terminal side if a lies in quadrant 3 and the terminal side
maria [59]

Answer:

cos(a + b) = \frac{1}{12}(1-2\sqrt{30})

Step-by-step explanation:

cos(a + b) = cos(a).cos(b) - sin(a).sin(b) [Identity]

cos(a) = -\frac{1}{3}

cos(b) = -\frac{1}{4}

Since, terminal side of angle 'a' lies in quadrant 3, sine of angle 'a' will be negative.

sin(a) = -\sqrt{1-(-\frac{1}{3})^2} [Since, sin(a) = \sqrt{(1-\text{cos}^2a)}]

         = -\sqrt{\frac{8}{9}}

         = -\frac{2\sqrt{2}}{3}

Similarly, terminal side of angle 'b' lies in quadrant 2, sine of angle 'b' will be  negative.

sin(b) = -\sqrt{1-(-\frac{1}{4})^2}

         = -\sqrt{\frac{15}{16}}

         = -\frac{\sqrt{15}}{4}

By substituting these values in the identity,

cos(a + b) = (-\frac{1}{3})(-\frac{1}{4})-(-\frac{2\sqrt{2}}{3})(-\frac{\sqrt{15}}{4})

                = \frac{1}{12}-\frac{\sqrt{120}}{12}

                = \frac{1}{12}(1-\sqrt{120})

                = \frac{1}{12}(1-2\sqrt{30})

Therefore, cos(a + b) = \frac{1}{12}(1-2\sqrt{30})

5 0
3 years ago
3 T-shirts cost $12. How<br> much will 50 T-shirts<br> cost?
LekaFEV [45]

Answer:

$200

Step-by-step explanation:

First, find the unit rate:

12/3= 4

Then multiply:

4*50= 200

Hope this helps!

6 0
2 years ago
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How much cardboard needed to construct a rectangular prism measuring 15 inches by 13 inches by 7 inches
aleksandrvk [35]
1,365

hopefully, this helps

4 0
3 years ago
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