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3 years ago

A and ∠B are complementary angles. If m∠A is 35LaTeX: ^\circ∘, what is the measure of B?

Mathematics

2 answers:

MrMuchimi3 years ago

7 0

The measure of b is 55°

ipn [44]3 years ago

5 0

Since they are complementary, they both add up to 90 degrees. So, 90-35=55 degrees.

The measure of angle B is 55 degrees.

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The lengths of two sides of a triangle are shown below:

kifflom [539]

Answer:

Part A: 5x² + 7x - 4

Part B: 5x³ - x² - 8x + 1

Part C: Yes.

Step-by-step explanation:

Part A: The length of two sides of a triangle are given by

Side 1: 3x² - 2x - 1

Side 2: 9x + 2x² - 3

Now, the total length of the two sides, 1 and 2, of the triangle will be

= (3x² - 2x - 1) + (9x + 2x² - 3)

= 5x² + 7x - 4 (Answer)

Part B: If the length of the third side is y and the perimeter of the triangle is (5x³ + 4x² - x - 3), then

y = (5x³ + 4x² - x - 3) - (5x² + 7x - 4) = 5x³ - x² - 8x + 1 (Answer)

Part C: The answers in the part A and part B are closed under addition and subtraction. (Answer)

7 0

4 years ago

Solve sin2theta=2sinthetacostheta

pashok25 [27]

Answer:

$\sin(2\theta) =2 \sin \theta \cos \theta$ proved

Step-by-step explanation:

Given

$\sin2 \theta=2 \sin\theta cos\theta$

Required

Prove

Proving from left to right.

$\sin(2\theta) = \sin(\theta+\theta)$

In trigonometry

$\sin(A+B) = \sin A \cos B+\sin B \cos A$

When this formula is applied to: $\sin(2\theta) = \sin(\theta+\theta)$

We have:

$\sin(2\theta) = \sin \theta \cos \theta+\sin \theta \cos \theta$

$\sin(2\theta) =2 \sin \theta \cos \theta$

<em>Proved</em>

4 0

3 years ago

Can someone help me please?

timama [110]

Answer:

m<4- Linear Pair to Angle 2

m<5- Vertical Angle to Angle 1

m<6- Linear Pair to Angle 4

m<7- Vertical Angle to Angle 3

m<8- Linear Pair to Angle 7

4 0

3 years ago

Is it possible to contruct a 4x3 matrix b and a 3x4 matrix c such that bc is invertible?

Lady bird [3.3K]

Matrix B has dimensions 4x3
Matrix C has dimensions 3x4

Write out those dimensions like so: 4x3 3x4
The inner '3's match up so B*C is possible. The dimensions of B*C is 4x4 as these are the outer dimensions when lining up 4x3 3x4

Since B*C is a square matrix, it is possible that an inverse could exist. Keep in mind that this isn't a guarantee as the determinant of B*C could be zero (which would lead to BC being non-invertible). Though of course we'd need more info.

3 0

3 years ago

Suppose that $2000 is invested at a rate of 4%, compounded semiannually. Assuming that no withdrawals are made, find the total a

creativ13 [48]

Answer:

Step-by-step explanation:

A = P(1+r/n)^ nt

A = 2000(1+.04/2)^(5*2)

A = $2000(1.02)^{10}$ = $2437.99

5 0

3 years ago