How to write 43.78 in word form

Both figures shown below are trapezoids. ABCD - WXYZ. Find the

ivolga24 [154]

Answer:

Y*x -2x=40min

7 0

3 years ago

An archaeologist descends 20 feet into a canyon, then climbs up 12 feet. Which value represents her final position?

nordsb [41]

-20 + 12 = -8 feet descent.

4 0

3 years ago

A hot-air balloon is 140 ft140 ft above the ground when a motorcycle (traveling in a straight line on a horizontal road) pass

luda_lava [24]

Answer:

Step-by-step explanation:

Given

Balloon velocity is 14 ft/s upwards

Distance between balloon and cyclist is 140 ft

Velocity of motor cycle is 88 ft/s

After 10 sec

motorcyclist traveled a distance of $d_c=88\times 10=880 ft$

Distance traveled by balloon in 10 s

$d_b=14\times 10=140 ft$

net height of balloon from ground =140+140=280 ft[/tex]

at $t=10 s$

distance between cyclist and balloon is $z=\sqrt{280^2+880^2}$

$z=923.47 ft$

now suppose at any time t motorcyclist cover a distance of x m and balloon is at a height of h m

thus $z^2=(88t)^2+(14t+140)^2$

differentiating w.r.t time

$\Rightarrow z\frac{\mathrm{d} z}{\mathrm{d} t}=14\cdot \left ( 14t+140\right )+88\cdot \left ( 88t\right )$

$\Rightarrow at\ t=10 s$

$\Rightarrow \frac{\mathrm{d} z}{\mathrm{d} t}=\frac{14\cdot \left ( 14t+140\right )+88\cdot \left ( 88t\right )}{z}$

$\Rightarrow \frac{\mathrm{d} z}{\mathrm{d} t}=\frac{14\times 280+88^2\times 10}{923.471}$

$\Rightarrow \frac{\mathrm{d} z}{\mathrm{d} t}=\frac{81,360}{923.471}=88.102\ ft/s$

3 0

3 years ago

Evaluate 8a-1+0.5b8a−1+0.5b8, a, minus, 1, plus, 0, point, 5, b when a=\dfrac14a=

professor190 [17]

Answer: $6$

Step-by-step explanation:

Given the following expression:

$8a-1+0.5b$

You need to substitute the given values of "a" and "b" into the expression. Notice that these values are:

$a=\frac{1}{4}\\\\b=10$

Then;

$8a-1+0.5b=8(\frac{1}{4})-1+0.5(10)$

Now you must solve the multiplications:

$=\frac{8}{4}-1+5=2-1+5$

The final step is to add the numbers. Therefore, you get the following answer:

$=6$

7 0

3 years ago

Read 2 more answers

Can someone help me do these 2 questions?? It's Trigonometry..

LUCKY_DIMON [66]

Answer:

6. 36°

7. 33.1 cm

Step-by-step explanation:

6. The tangent function relates the sides of a right triangle to the acute angles. Here, the angle west of south that is the direction of the ship from harbour is related to the distances by ...

tan(angle) = (18 km)/(25 km)

Then the angle can be found using the inverse tangent function:

angle = arctan(18/25) ≈ 35.75°

The direction back to the harbour is this same angle east of north. Since bearing angles are measured clockwise from north, the desired bearing is 36°.

__

7. The cosine function relates the hypotenuse of a right triangle to the side adjacent to the angle of interest. Here, we have ...

cos(72°) = (diameter of glass)/(straw length to glass rim)

straw length to glass rim = (diameter of glass)/cos(72°) ≈ (9 cm)/0.309017

straw length to glass rim ≈ 29.1 cm

The straw extends 4 cm above the rim of the glass, so is 4 cm longer than this calculated value. The straw is about 33.1 cm long.

3 0

3 years ago