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2 years ago

What is the area of this triangle?

Mathematics

2 answers:

Reptile [31]2 years ago

5 0

The answer is b x h/2
9x12=108/2=54

zheka24 [161]2 years ago

3 0

Answer:

Step-by-step explanation:

$A=\frac{1}{2}bh \\A=\frac{1}{2}*12*9\\A= 54$

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Rachel has 30 pounds of a mixture of candy that sells for $1.00/lb. If lollipops sell for $0.95/lb and caramel candies sell for

Lina20 [59]

Answer:

Twenty Pounds

Step-by-step explanation:

Equation #1:

30lbs x Mix Price = (Lollipop Lbs x 0.95) + (Caramel Lbs X 1.10)

Equation #2:

Lollipops Lbs + Caramel Lbs = 30 Lbs

Rearrange expressions to solve for different variables

EQ1: Caramel Lbs = (30 - .95 Lollipop Lbs)/ 1.10 NOTE: (mix price = 1.00)

EQ2: Lollipop Lbs = 30 - Caramel Lbs

Substitute formula 1 into formula 2

Lollipop Lbs = 30 - [(30 - .95 Lollipop Lbs)/1.10]

Distribute divisor

Lollipop Lbs = 30 - 27.2727 + .8636 Lollipop Lbs

Collect terms

Lollipop Lbs = 2.7273 + .8636 Lollipop Lbs

Remove .8336 Lollipops from both sides of the equation

.1364 Lollipop Lbs = 2.7273

Divide both sides by .1364 (Answer is 19.9949 which rounds to 20)

Lollipop Lbs = 20

PROOF:

30 = (20 x 0.95) + (10 x 1.10)

30 = 19 + 11

30 = 30 TRUE!

6 0

2 years ago

Maximize the objective function P = 2x + 1.5y for the feasible region shown. State the maximum value for P and the ordered pair

umka2103 [35]

Incomplete question. However, let's assume this are feasible regions to consider:

Points:

- (0, 100)

- (0, 125)

- (0, 325)

- (1, 200)

Answer:

Maximum value occurs at 325 at the point (0, 325)

Step-by-step explanation:

Remember, we substitute the points value for x, y in the objective function P = 2x + 1.5y.

- For point (0, 100): P= 2(0) + 1.5 (100) =150

- For point (0, 125): P= 2(0) + 1.5 (125) =187.5

For point (0, 325): P= 2(0) + 1.5 (325) = 487.5

For point (1, 200): P= 2(1) + 1.5 (200) = 302

Therefore, we could notice from the above solutions that at point (0,325) we attain the maximum value of P.

7 0

2 years ago

Write as a single power of 6 (6^5)^4

babunello [35]

Answer:

6^20

Step-by-step explanation:

When two indices are in brackets, you just have to multiply them.

3 0

2 years ago

PLEASE HELP ASAP!!! CORRECT ANSWERS ONLY PLEASE!!!

svet-max [94.6K]

Answer:

tan (C) = 2.05

Step-by-step explanation:

Given:

A right angled triangle CDE right angled at ∠D.

Side CD = 39

Side DE = 80

Side CE = 89

We know, from trigonometric ratios that, the tangent of any angle is equal to the ratio of the opposite side to the angle and the adjacent side of the angle.

Therefore, tangent of angle C is given as:

$\tan(\angle C)=\frac{DE}{CD}$

Plug in the given values and solve for angle C.This gives,

$\tan(\angle C)=\frac{80}{39}\\\\\tan(\angle C)=2.051\approx 2.05(Rounded\ to\ nearest\ hundredth)$

Therefore, the measure of tangent of angle C is 2.05.

4 0

2 years ago

Question 5 (1 point)

Leokris [45]

A: Add up to 180 degrees

8 0

2 years ago

What is the area of this triangle?​

What is the area of this triangle?