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3 years ago

11

Rewrite with only sin x and cos x.

1 answer:

aivan3 [116]3 years ago

5 0

Answer:

cos x (2 sin x − 1)

Step-by-step explanation:

sin(2x) − cos x

Use double angle formula.

2 sin x cos x − cos x

Factor.

cos x (2 sin x − 1)

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What is the area of this figure? Use 3.14 for pi.

andrey2020 [161]

Answer:

24,53cm²

Step-by-step explanation:

rectangle area=length×width=7×3

=21cm²

circle area=1/2Π r²

=1/2×3.14×1.5×1.5

=3.5325cm²

add the two areas

21+3.53=24,53cm²

6 0

3 years ago

Jane says that she can use addition to show that the graphs of 2x - 3y = 1 and 2x + 3y = 2 are intersecting lines. In two or mor

iogann1982 [59]

For this case we have the following equations:
2x - 3y = 1
2x + 3y = 2
When adding both equations we observe that:
Sentence 1: we have an equation of a variable, which in this case will be x. We can clear the value of x.
Sentence 2: Knowing the value of x, we can substitute in any equation and find the value of y.
Sentence 3: The value of x and y represents the point of intersection of both lines (x, y).

4 0

3 years ago

Alekssandra [29.7K]

Answer:

$d=7.8\ g/cm^3$

Step-by-step explanation:

Given that,

The dimensions of a rectangular block = 4 cm x 2 cm x 1.5 cm

Mass, m = 93.6 g

We need to find the density of steel. We know that the density of an object is equal to the mass divided by volume. So,

$d=\dfrac{m}{V}\\\\d=\dfrac{93.6}{4\times 2\times 1.5}\\\\d=7.8\ g/cm^3$

So, the density of the steel is $7.8\ g/cm^3$ .

8 0

2 years ago

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

The slope of the graphed line is 2. Which formulas 3 represent the line that is graphed? Check all that apply. y-1 = (x - 2) 3 O

yuradex [85]

Answer:

never ever learned this but maybe The answer is:

b. y - 2 = 2/3(x-1)

c. y - 4 = 2/3(x-4)

e. f(x) = 2/3 + 4/3

Step-by-step explanation:

bce

3 0

3 years ago