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3 years ago

Which is greater 36÷(4×3) or 54-48-(16÷4

Mathematics

1 answer:

sertanlavr [38]3 years ago

8 0

Step-by-step explanation:

36 ÷ (4 x 3)

36 ÷ 12

= 3

54 - 48 - (16 ÷ 4)

54 - 48 - 4

= 2

So first one is greater

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Given that tan^2 theta=3/8,what is the value of sec theta?

algol [13]

Answer:

The value of SecФ is $\pm \sqrt{\frac{11}{8}}$ .

Step-by-step explanation:

Given as for trigonometric function :

tan²Ф = $\frac{3}{8}$

Or, tanФ = $\sqrt{\frac{3}{8} }$

∵ tanФ = $\frac{Perpendicular}{Base}$

So, $\frac{Perpendicular}{Base}$ = $\sqrt{\frac{3}{8} }$

So, Hypotenuse² = perpendicular² + base²

or, Hypotenuse² = ( $\sqrt{3}$ )² + ( $\sqrt{8}$ )²

Or, Hypotenuse² = 3 + 8 = 11

Or, Hypotenuse = ( $\sqrt{11}$ )

Now SecФ = $\frac{Hypotenuse}{Base}$

or, SecФ = $\frac{\sqrt{11}}{\sqrt{8}}$ = $\sqrt{\frac{11}{8} }$

<u>Second Method</u>

Sec²Ф - tan²Ф = 1

Or, Sec²Ф = 1 + tan²Ф

or, Sec²Ф = 1 + $\frac{3}{8}$

Or, Sec²Ф = $\frac{11}{8}$

Or, SecФ = $\pm \sqrt{\frac{11}{8}}$

Hence The value of SecФ is $\pm \sqrt{\frac{11}{8}}$ . Answer

7 0

3 years ago

Read 2 more answers

a regular hexagonal nut of side 1 cm and length 3 cm with a central hole of diameter 1 cm. 3 cm 1 cm 1 cm. Calculate the volume

Bogdan [553]

Answer:

5.44 cm³

Step-by-step explanation:

The volume of the hexagonal nut can be found by multiplying the area of the end face by the length of the nut. The end face area is the difference between the area of the hexagon and the area of the hole.

The area of a hexagon with side length s is given by ...

A = (3/2)√3·s²

For s=1 cm, the area is ...

A = (3/2)√3(1 cm)² = (3/2)√3 cm²

The area of a circle is given by ...

A = πr²

The radius of a circle with diameter 1 cm is 0.5 cm. Then the area of the hole is ...

A = π(0.5 cm)² = 0.25π cm²

The volume is the face area multiplied by the length, so is ...

V = Bh = ((3/2)√3 -0.25π)(3) . . . . . cm³

V = (9/2)√3 -0.75π cm³ ≈ 5.44 cm³

The volume of the metal is about 5.44 cm³.

5 0

2 years ago

Mrs Lim packs 35 big and small bags of candies for her pupils. Each big bag contains 12 candies and each small bag contains 7 ca

Anastasy [175]

Answer:

there are 11 big-bags and 24 small-bags.

Step-by-step explanation:

there are x big-bags and y small-bags.

so now we can know:

(1) x + y = 35

(2) 12x + 7y = 300

in (1),we can do like this:

both left and right x7

then (x + y)x7 = 35 x 7

then 7x + 7y = 35 x 7

then 7x + 7y = 245

now,

(1)7x + 7y =245

(2)12x + 7y = 300

we can both left and right do this: (2) - (1)

then

(12x + 7y) - (7x + 7y) = 300 -245

then

12x + 7y - 7x - 7y = 300 -245

then

12x - 7x +7y - 7y =300 -245

then

5x =55

then

5x ÷ 5 = 55 ÷ 5

then

x = 11

because

x + y =35;x=11

11 + y =35

11+ y -11 = 35 -11

then

y = 24

now we know:there are 11 big-bags and 24 small-bags.

3 0

3 years ago

WILL MARK BRAINLIEST!!! 70 POINTS!!! for real answers plz(●'◡'●)

Slav-nsk [51]

Answer:

In explanation ! :P

Step-by-step explanation:

Likes hamburgers and burritos : 39

Likes nothing : 33

Total missing : 205

Percentage who do like nothing : 16,09 %

Percentage who like all (without frequency table ) : 19,02 %

( without relative frequencies, sorry they don't let me :( : Is people who don't like burritos but likes hamburgers,they are the strongest )

I hope I helped you !^^

Sorry they don't let me do the frequency table ! :(

5 0

3 years ago

PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP PLS PLS

zmey [24]

Answer:

i think it's <C and <R since they're 90 degree angles, though they are small

4 0

2 years ago