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3 years ago

Identify which angle it is

Mathematics

1 answer:

NISA [10]3 years ago

7 0

Answer:

a. acute

b. right angle

c. acute

d. right angle

19. equilateral triangle

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You randomly choose one of the tiles. Without replacing the first tile, you randomly choose a second tile. Find the probability

Lesechka [4]

Answer:

4/21

Step-by-step explanation:

I got the first probability and the second probabilty then multiplied them together.

3 0

3 years ago

What’s this answer ????

slega [8]

Divide by 6 on both sides to have the variable by itself. the answer is 8.

4 0

3 years ago

Plz help will be marked BRAINLIEST!!

dusya [7]

Answer:

Step-by-step explanation:

a= 18 degrees

b= 36 degrees

c= 108 degrees

7 0

3 years ago

Read 2 more answers

Let S be the surface defined by x 2 + 2y 3 + 3z 4 = 6. Let T be the surface defined parametrically by r(u, v) = (1+ln u, 2e v+u−

aleksandrvk [35]

The tangent to $C$ through (1, 1, 1) must be perpendicular to the normal vectors to the surfaces $S$ and $T$ at that point.

Let $f(x,y,z)=x^2+2y^3+3z^4$ . Then $S$ is the level curve $f(x,y,z)=6$ . Recall that the gradient vector is perpendicular to level curves; we have

$\nabla f(x,y,z)=(2x,6y,12z^2)$

so that the gradient of $f$ at (1, 1, 1) is

$\nabla f(1,1,1)=(2,6,12)$

For the surface $T$ , we have

$\begin{cases}1+\ln u=1\\2e^v+u-2=1\\uv+1=1\end{cases}\implies u=1,v=0$

so that $\vec r(1,0)=(1,1,1)$ . We can obtain a vector normal to $T$ by taking the cross product of the partial derivatives of $\vec r(u,v)$ , and evaluating that product for $u=1,v=0$ :

$\dfrac{\partial\vec r}{\partial u}\times\dfrac{\partial\vec r}{\partial v}=\left(u-2ve^v,-1,\dfrac{2e^v}u\right)$

$\left(\dfrac{\partial\vec r}{\partial u}\times\dfrac{\partial\vec r}{\partial v}\right)(1,0)=(1,-1,2)$

Now take the cross product of the two normal vectors to $S$ and $T$ :

$(2,6,12)\times(1,-1,2)=(24,8,-8)$

The direction of vector (24, 8, -8) is the direction of the tangent line to $C$ at (1, 1, 1). We can capture all points on the line containing this vector by scaling it by $t\in\Bbb R$ . Then adding (1, 1, 1) shifts this line to the point of tangency on $C$ . So the tangent line has equation

$\vec\ell(t)=(1,1,1)+t(24,8,-8)=(1+24t,1+8t,1-8t)$

7 0

3 years ago

hat semiannual annuity payment is needed to have $500,000 in 15 years if the annuity pays 6.3% interest

KonstantinChe [14]

The required semiannual annuity payment is $10,256.72

What is future value of an annuity?

The future value of an annuity is the accumulated amount in the future that could be achieved by making a fixed periodic savings, it is a semiannual fixed payment that is required in this case.

The future value formula for an ordinary annuity provided below can be used to determine the semiannual payment needed:

FV=PMT*(1+r)^N-1/r

FV=future value=$500,000

PMT=semiannual payment required=unknown

r=semiannual interest rate=6.3%/2=3.15%=0.0315

N=number of semiannual payments in 15 years=15*2=30

$500,000=PMT*(1+0.0315)^30-1/0.0315

$500,000=PMT*(1.0315)^30-1/0.0315

$500,000=PMT*(2.53557796686568000-1)/0.0315

$500,000=PMT*1.53557796686568000/0.0315

PMT=$500,000/1.53557796686568000*0.0315

PMT=$10,256.72

Find out more about future value of an ordinary annuity on:brainly.com/question/14761171

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3 0

2 years ago