All categories

2 years ago

At a candy factory, butterscotch candies were

Mathematics

1 answer:

KIM [24]2 years ago

5 0

Answer:

the answer is 2

Step-by-step explanation:

You might be interested in

5) In the figure, triangle ABC is a right triangle at B. If CD = 15, find BC to the nearest tenth.

ycow [4]

Answer:

BC ≈ 4.0

Step-by-step explanation:

∠ DCA = 180° - 70° = 110° ( adjacent angles )

∠ DAC = 180° - (30 + 110)° ← sum of angles in triangle

∠ DAC = 180° - 140° = 40°

Using the Sine rule in Δ ACD to find common side AC

$\frac{AC}{sin30}$ = $\frac{15}{sin40}$ ( cross- multiply )

AC × sin40° = 15 × sin30° ( divide both sides by sin40° )

AC = $\frac{15sin30}{sin40}$ ≈ 11.668

Using the cosine ratio in right triangle ABC

cos70° = $\frac{adjacent}{hypotenuse}$ = $\frac{BC}{AC}$ = $\frac{BC}{11.668}$ ( multiply both sides by 11.668 )

11.668 × cos70° = BC , then

BC ≈ 4.0 ( to the nearest tenth )

6 0

3 years ago

5) Mario owns a plumbing business. He charges an hourly rate plus a onetime set up fee. His first job was 4 hours and he charged

Wittaler [7]

Answer:

Results are below.

Step-by-step explanation:

First, we need to calculate the variable income per job:

First job= 450 - 150= 300

Second job= 675 - 150= 525

Now, the hourly rate:

Hourly rate= total variable income / number of hours

First job= 300 / 4= $75

Second job= 525 / 3= $175

It is probably that the second job was 7 hours long. If not, he doesn't charge the same amount per hour

5 0

3 years ago

Draw to show how you can use model to compare 345 and 391

Oksi-84 [34.3K]

You could use graphs like hundreds graphs ;/

8 0

3 years ago

Please help answer Will give brainlst

Genrish500 [490]

Answer:

I think it would be A

5 0

2 years ago

Which operation results in a binomial? (3y ^ 6 + 4) (9y ^ 12 - 12y ^ 6 + 16)

AleksAgata [21]

Step-by-step explanation:

Given the expression, $(3y ^ 6 + 4) (9y ^ {12} - 12y ^ 6 + 16)$ , we want to know which sign placed in between the two polynomial will produce a binomial.

Using a plus (+) sign to check:

$= (3y ^ 6 + 4) + (9y ^ {12} - 12y ^ 6 + 16)\\= (3y ^ 6 + 4) + (9y ^ {12} - 12y ^ 6 + 16)\\collect \ like \ terms\\= 9y^{12} +3y^6 - 12y^6 + 16+ 4\\= 9y^{12} - 9y^6 + 20\\$

From the gotten value, it can be seen that the resulting answer produces 3 terms, showing that it results in a trinomial instead of binomial.

Using a plus (-) sign to check:

$= (3y ^ 6 + 4) - (9y ^ {12} - 12y ^ 6 + 16)\\= 3y ^ 6 + 4 - 9y ^ {12} + 12y ^ 6 - 16\\collect \ like \ terms\\= -9y^{12} +3y^6 +12y^6 + 4-16\\= -9y^{12} +15y^6 -12\\$

From the gotten value, it can be seen that the resulting answer produces 3 terms, showing that it results in a trinomial instead of binomial.

Hence none of the operations given results in a binomial

3 0

2 years ago