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3 years ago

PLS HELP ASAP, given angle m ABD is a straight angle.

Mathematics

2 answers:

zavuch27 [327]3 years ago

5 0

Answer:

angle CBD = 125°

Step-by-step explanation:

Because ABD is a straight angle we know it is equal to 180°

because we have this information we can create the equation

(8x-41) + (9x+17) = 180

17x - 24 = 180

(here you would add 24 to both sides)

17x = 204

(divide both sides by 17)

x = 12

Then you would plug in 12 for x in the equation for CBD which will then get you 125°

natta225 [31]3 years ago

3 0

Answer:

measure of CBD is 125 degrees

Step-by-step explanation:

ABC + CBD is equal to 180 degrees

8x - 41 + 9x + 17 = 180

combine like terms

17x - 24 = 180

add 24 to both sides

17x = 204

divide both sides by 17

x = 12

then plug in to find CBD

9 (12) + 17

108 + 17 = 125 degrees

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PLEASE HELP ASAP ILL GIVE BRAINLIEST!!!!! find measure of arc MK

Gwar [14]

Answer:

Arc length MK = 15.45 units (nearest hundredth)

Arc measure = 58.24°

Step-by-step explanation:

Calculate the measure of the angle KLN (as this equals m∠KLM which is the measure of arc MK)

ΔKNL is a right triangle, so we can use the cos trig ratio to find ∠KLM:

$\sf \cos(\theta)=\dfrac{A}{H}$

where:

$\theta$ is the angle
A is the side adjacent the angle
H is the hypotenuse (the side opposite the right angle)

Given:

$\theta$ = ∠KLM
A = LN = 8
H = KL = 15.2

$\implies \sf \cos(KLM)=\dfrac{8}{15.2}$

$\implies \sf \angle KLM=\cos^{-1}\left(\dfrac{8}{15.2}\right)$

$\implies \sf \angle KLM=58.24313614^{\circ}$

Therefore, the measure of arc MK = 58.24° (nearest hundredth)

$\textsf{Arc length}=2 \pi r\left(\dfrac{\theta}{360^{\circ}}\right) \quad \textsf{(where r is the radius and}\:\theta\:{\textsf{is the angle)}$

Given:

r = 15.2
∠KLM = 58.24313614°

$\implies \textsf{Arc length MK}=2 \pi (15.2)\left(\dfrac{\sf \angle KLM}{360^{\circ}}\right)$

$\implies \textsf{Arc length MK}=\sf 15.45132428\:units$

6 0

2 years ago

Which term is the perfect square of 3x4? 6x^8 6x^16 9x^8 9x^16

Juliette [100K]

9x^8 is the answer for the problem

7 0

3 years ago

GC - If the principal amount of money put into a bank is $2000 with a 3.5% rate compounded quarterly, what is the amount after 6

alisha [4.7K]

Given:

Principal amount = $2000

Rate of interest = 3.5% compounded quarterly.

Time = 6 years

To find:

The amount after 6 years.

Solution:

The formula for amount after compound interest is:

$A=P\left(1+\dfrac{r}{n}\right)^{nt}$

Where, P is principal, r is rate of interest in decimal, n is the number of time interest compounded in an year and t is the number of years.

The interest is compounded quarterly, so $n=4$ .

Substituting $P=2000,r=0.035,n=4,t=6$ , we get

$A=2000\left(1+\dfrac{0.035}{4}\right)^{4(6)}$

$A=2000\left(1+0.00875\right)^{24}$

$A=2000\left(1.00875\right)^{24}$

$A=2465.10340$

Approximate the value to the nearest hundredth.

$A\approx 2465.10$

The amount after 6 years us $2465.10. Therefore, the correct option is A.

4 0

3 years ago

What’s the square root of pie

TEA [102]

To 2 decimal places, the square root of pi is 1.77

5 0

3 years ago

Malika's rectangular garden is enclosed with 24 m of fencing.

olasank [31]

The greatest possible area with a fixed length of fencing (perimeter) is a circle.

Circumference = 2 pi x radius = 24 m
Radius = (24 m) / (2 pi) = 12 m / pi

Area of a circle = pi x radius squared = (pi) x (12 m / pi)^2 = 144 / pi = 45.837 square meters.
=====================================
The rectangle with the greatest possible area for a fixed perimeter is the square.

Each side of the square = 24 / 4 = 6 meters

Area of a square = (side) squared = 36 square meters
=====================================
There is no 'least possible' area. The longer and skinnier you make it,
the less area it will have.

Here are some examples. Each one has 24 m of fencing:

5 m x 7 m = 35 square meters
4 x 8 = 32 square meters
3 x 9 = 27 square meters
2 x 10 = 20 square meters
1 x 11 = 11 square meters
0.5 x 11.5 = 5.75 square meters
0.1 x 11.9 = 1.19 square meters
1 centimeter x 11.99 meters = 0.1199 square meters
1 millimeter by 11.999 meters = 0.011999 square meters

The longer and skinnier the garden is, the less area it has.

3 0

4 years ago