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8_murik_8 [283]
2 years ago
7

Factor 13c(a+4)−5b(a+4)

Mathematics
1 answer:
alisha [4.7K]2 years ago
6 0

Answer:

(13c-5b)(a+4)

Step-by-step explanation:

Since both (13c) and (-5b) are being multiplied by (a+4), we can factor both of them out and put them in a bracket.

13c(a+4)−5b(a+4) = (13c-5b)(a+4)

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In the figure, a || b and m<1 = 35° what is the m<5?​
zlopas [31]

Answer:

Directions: Find the missing measures in each figure. Keep the ... m<B+42 = 90. MLB-48. 8. ... x = 5. X = 14. MCR = 1215)-3 = 57° m<Q = 9614)-3-123°. 16. 21 and 22 form a linear pair. The ... 1. 5. 2. 6. 3. 7. 4. 8 p q. Examples' name the type of angle relationship. ... (4017)+3)+5y+35=180 ... Directions: Find x so that a || b.

Step-by-step explanation:

8 0
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
How do you solve this????
riadik2000 [5.3K]
I got 14 for the answer
4 0
3 years ago
Last Monday local mail carriers delivered 1,344 pieces of mail. Of all the deliveries they made, 1 / 6 were magazines, 1 / 12 we
Brut [27]

Answer: 1008 letters

Step-by-step explanation:

From the question, last Monday, a local mail carriers delivered 1,344 pieces of mail and of all the deliveries they made, 1 / 6 were magazines, 1 / 12 were packages, and the rest were letters. The fraction of letters will be:

= 1 - (1/6 + 1/12)

= 1 - (3/12)

= 9/12 = 3/4

We will now multiply 3/4 by 1344 to get the number of letters delivered.

= 3/4 × 1344

= 1008 letters

6 0
3 years ago
10 pts
RoseWind [281]
263.25 is the volume of the box in inches cubes you have to multiply 4.5 by 9 by 6.5
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3 years ago
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