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3 years ago

Find the measure of the missing angle (solve for x)

Mathematics

1 answer:

just olya [345]3 years ago

5 0

IN the given figure.

angle A + angle B + angle C = 180°

( angle sum property of Δ)

58°+47°+ x = 180°

105°+ x =180°

x = 180° - 105°

thus correct option is (d)

hope this will help u!!

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Solve the following system of equations using the elimination method.

Margaret [11]

So for eliminating, you only solve for one variable first.

I solved for y, so I multiplied by -4 to eliminate the x.

Then I got y= -1

I then substituted that to one of the equations to get x.

3 0

3 years ago

Equation with angles can someone please answer helpppp

Elden [556K]

Answer:

$x = 18°\\\angle A = 73°$

Step-by-step explanation:

By interior angle property on one side of the transversal.

$\angle A+ \angle B = 180°\\6x - 35° + 3x + 53° = 180°\\9x + 18° = 180°\\9x = 180° - 18°\\9x = 162°\\x = \frac{162°}{9}\\ \huge \red {\boxed {x = 18°}} \\\therefore \angle A = 6x - 35°\\\therefore \angle A = 6\times 18°- 35°\\\therefore \angle A = 108°- 35°\\ \huge \purple {\boxed{\therefore \angle A = 73°}} \\$

3 0

3 years ago

Situation:A researcher in North America discoversa fossile that contains 65% of its originalamount of C-14..-ktN=NoeNo inital am

zheka24 [161]

SOLUTION

We have been given the equation of the decay as

$\begin{gathered} N=N_0e^{-kt} \\ where\text{ } \\ N_0=initial\text{ amount of C-14 at time t} \\ N=amount\text{ of C-14 at time t = 65\% of N}_0=0.65N_0 \\ k=0.0001 \\ t=time\text{ in years = ?} \end{gathered}$

So we are looking for the time

Plugging the values into the equation, we have

$\begin{gathered} N=N_0e^{-kt} \\ 0.65N_0=N_0e^{-0.0001t} \\ e^{-0.0001t}=\frac{0.65N_0}{N_0} \\ e^{-0.0001t}=0.65 \end{gathered}$

Taking Ln of both sides, we have

$\begin{gathered} ln(e^{-0.000t})=ln(0.65) \\ -0.0001t=ln(0.65) \\ t=\frac{ln(0.65)}{-0.0001} \\ t=4307.82916 \end{gathered}$

Hence the answer is 4308 to the nearest year

8 0

9 months ago

12. Find the surface area of each figure to the nearest tenth.

Zolol [24]

Answer:

12a. 471.2 cm²

12b. 60 m²

Step-by-step explanation:

Part A.

The surface area of each figure is the sum of the end area and the lateral area.

<u>cylinder</u>

S = (2)(πr²) +2πrh = 2πr(r +h)

S = 2π(5 cm)(5 cm +10 cm) =150π cm² ≈ 471.2 cm²

<u>triangular prism</u>

S = (2)(1/2)bh + PL . . . . b=triangle base; h=triangle height; P=triangle perimeter; L=length of prism

S = (4 m)(1.5 m) + ((4 + 2·2.5) m)(6 m) = (6 + 54) m² = 60 m²

_____

Part B.

Surface area is useful in the real world wherever products are made from sheets of material or wherever coverings are applied.

Carpeting or other flooring, paint, wallpaper are all priced in terms of the area they cover, for example.

The amount of material used to make containers in the shapes shown will depend on the area of these containers (and any material required for seams).

6 0

2 years ago

(a) Fiona has $450 in her savings account. She deposits $40 each month. Liam has $975 in his checking account. He writes a check

kenny6666 [7]

Answer:

y=450+40x y=975-65x

Step-by-step explanation:

at five months they will have the same amount of money in their accounts

7 0

2 years ago