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2 years ago

60 points Need help Asap

Mathematics

1 answer:

Anna [14]2 years ago

8 0

Answer:

45 units ^2

Step-by-step explanation:

make sure to divide the triangle and sqaure up when finding the area of this polygon..

hope this helps!!

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The first four terms of a geometric sequence are 27, x, 3, 1. find the value of x

Vikki [24]

Answer:

Step-by-step explanation:

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2 years ago

Simplify the scalar multiplication on the matrix.

Romashka-Z-Leto [24]

Answer:

third option

Step-by-step explanation:

Given

3 $\left[\begin{array}{ccc}-2&5\\1&0\\\end{array}\right]$

Multiply each element in the matrix by 3

= $\left[\begin{array}{ccc}3(-2)&3(5)\\3(1)&3(0)\\\end{array}\right]$

= $\left[\begin{array}{ccc}-6&15\\3&0\\\end{array}\right]$

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2 years ago

In △ABC, BM is a median, △BMC is equilateral and MC = 3cm. Through M is drawn line l∥AB that intersects CB at point N. Find:

ruslelena [56]

Answer:

m∠ABC = 60°

The distance from C to AB = 3 cm

The distance from l to AB = 1.5 cm

Step-by-step explanation:

The median of ΔABC = BM

The length of MC = 3 cm

Type of triangle given as ΔBMC = Equilateral triangle

Line MN is parallel to AB and passes through M intersecting CB at N

Given that BM is a median, we have;

MC = AM = 3 cm

BM = MC = CB = 3 cm, from ΔBMC = Equilateral triangle

CN = NB by midpoint theorem

∴ CB = CN + NB = 2·CN = 3 cm

The distance from C to AB = CB = 3 cm

The distance from C to AB = 3 cm

CN = 3/2 = 1.5

CN = NB = 1.5

The distance from l to AB = CN = 1.5 cm

The distance from l to AB = 1.5 cm

m∠ABC = m∠BMC = m∠MBC = 60° Interior angles of an equilateral triangle.

m∠ABC = 60°

6 0

2 years ago

A bag holds 12 red marbles, 11 green marbles, 17 blue marbles, and 5 yellow marbles. What is the probability that you will NOT c

grigory [225]

The probability that you will NOT choose a blue marble is 28/45.
45 because there are 45 marbles in total 12+11+17+5=45
And then 28 because you add all the marbles that are NOT blue 12+11+5=28

3 0

2 years ago

Determine whether the given triangle has no solution, one solution or two solutions. Then solve the triangle. Round measures of

yuradex [85]

Answer:

The triangle has one solution. The remaining side c ≈ 4 and remaining angles B = 30°; C = 31°.

Option D is correct.

Step-by-step explanation:

if angle A is obtuse and if a > b then the triangle has one solution

We are given ∠ = 119° which is obtuse and side a= 7 and side b - 4 i.e 7>4 so, the triangle has one solution.

Finding remaining side c and ∠B and ∠C

Using Law of sines to find ∠B

a/sin A = b/sin B

7/sin 119° = 4/sin B

7 * sin B = 4 * sin 119

7*sin B = 4(0.874)

sin B = 3.496/7

B = sin^-1(0.4994)

B = 29.96 = 30°

We know that sum of angles of triangle = 180°

So, 180° = 119° + 30° +∠C

180° = 149° + ∠C

=> ∠C = 180° - 149°

∠C = 31°

Now finding c

b/sin B = c /sin C

4/Sin 30 = c/sin 31

4* sin 31 = c*sin 30

4*0.515 = c* 0.5

=> c = 4*0.515/0.5

c = 4.12 ≈ 4

So, Option D one solution; c ≈ 4; B = 30°; C = 31° is correct.

7 0

2 years ago