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3 years ago

Which ones apply to these triangles? ABC congruent to UVW

Mathematics

1 answer:

Reika [66]3 years ago

7 0

Angle A = angle U since they're both right angles (both 90 degrees). This is what the square marker means.

segment AC = segment UW

Angle C = angle W because they have the same angle marker

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we have two pairs of congruent angles, with segments between them that are congruent. So we use the ASA property

The final answer is choice E.

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What is the amplitude of the cosine function corresponding to the secant function graphed below ? a. -2 b. -1 c. 2 d. 3

Bas_tet [7]

Answer:

Step-by-step explanation:

From the graph, we obtain the trigonometric function as:

$y=2 \sec x+1$

The corresponding cosine function have equation.

$y=2\cos x+ 1$

This function is of the form: $y=a\cos bx+c$

where $|a|$ is the amplitude.

Therefore the amplitude is |2|=2

The third choice is correct

7 0

4 years ago

Solve the system of equations using the substitution method (solving for x and y intercepts). Please give graphing points.

ch4aika [34]

Answer:

(x, y) = (1, 4)

Step-by-step explanation:

Given: x+y=5 and 2x-y=-2

Solve for y and x

x+y=5; solve for y

y = 5 - x; substitute into other equation

2x-y= -2

2x - (5 - x) = -2

2x - 5 + x = -2; combine x's

3x - 5 = -2; add 5 to both sides

3x =3; divide by 3

x = 1; use this to solve for y

x+y=5

1 + y = 5; subtract 1 from both sides

y = 4

(x, y) = (1, 4)

4 0

3 years ago

Sales tax in Reagan County is 7.5% on all purchases. Calculate the sales tax on the following purchase totals (round answers to

Gre4nikov [31]

Answer:

(a) $1.92

(b) $11.68

Step-by-step explanation:

The tax is the product of the tax rate (7.5%) and the taxed amount.

0.075 × $25.55 ≈ $1.92

0.075 × $155.75 ≈ $11.68

0.075 × $256.18 ≈ $19.21

_____

It is convenient to use a calculator for these values. A suitable calculator can do the rounding for you.

7 0

2 years ago

Use the Chain Rule to find the indicated partial derivatives. u = x2 + yz, x = pr cos(θ), y = pr sin(θ), z = p + r; (partial u)/

devlian [24]

$u(x,y,z)=x^2+yz$

$\begin{cases}x(p,r,\theta)=pr\cos\theta\\y(p,r,\theta)=pr\sin\theta\\z(p,r,\theta)=p+r\end{cases}$

At the point $(p,r,\theta)=(2,2,0)$ , we have

$\begin{cases}x(2,2,0)=4\\y(2,2,0)=0\\z(2,2,0)=4\end{cases}$

Denote by $f_x:=\dfrac{\partial f}{\partial x}$ the partial derivative of a function $f$ with respect to the variable $x$ . We have

$\begin{cases}u_x=2x\\u_y=z\\u_z=y\end{cases}$

The Jacobian is

$\begin{bmatrix}x_p&x_r&x_\theta\\y_p&y_r&y_\theta\\z_p&z_r&z_\theta\end{bmatrix}=\begin{bmatrix}r\cos\theta&p\cos\theta&-pr\sin\theta\\r\sin\theta&p\sin\theta&pr\cos\theta\\1&1&0\end{bmatrix}$