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solong [7]
3 years ago
9

A bird cage hangs 5 feet off the floor in Mr. Gruber's kitchen with Judy the canary chirping away inside it. Paddington the cat

is crouched on the floor, ready to pounce and attack with his declawed paws! He's been eye balling Judy from an angle of elevation of 38 degrees. How far will Paddington need to jump to reach Judy? (Answers to three decimal places please.)
Mathematics
1 answer:
ANTONII [103]3 years ago
6 0

3.906m

Step-by-step explanation:

from the topic angle of elevation and depression

putting down the above question diagrammatically

we have a triangle

The angle of elevation pad looking up = 38°

using the tangent rule TOA

TAN∅= OPPOSITE/ADJACENT

we have

tan 38° = x/5

x= tan 38° × 5

x= 0.781 * 5

x = 3.906m

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PLS HELP ASAP!!
zepelin [54]

Answer:

D

Step-by-step explanation:

A = P(1 + \frac{r}{n})^{nt}\\

[5000* (1+0.125)]/12 =234.375, rounds up to $234.38

8 0
3 years ago
A figure is composed of a rectangle and a right triangle. What is the area of the figure?
strojnjashka [21]

QUESTION 1

The figure is a tra-pezoid.

The area of a trapezoid is given by the formula;

A=\frac{1}{2}(Sum\:of\:parallel\:sides)\times h

We substitute the values to obtain;

Area=\frac{1}{2}(13.2cm+8.4cm)\times 6cm

Area=\frac{1}{2}(21.6cm)\times 6cm

Area=64.8cm^2

QUESTION 2

The approximate length of the ribbon is equal to the circumference of the circular table cloth.

We can find this by using the formula for calculating the circumference of a circle.

C=2\pi r

where r=3.5ft is the radius of the circular table cloth.

We substitute this value and \pi=3.14 into the formula to get;

C=2(3.14)(3.5)ft

C=21.98ft

The approximate length of the ribbon is 22.0ft to the nearest tenth.

QUESTION 3

Type of quadrilateral:Rectangle

Explanation: A rectangle has 4 angles that are right angles.

The two pairs of opposite sides of a rectangle are also congruent.

QUESTION 4.

The circumference of a semi circle is calculated using the formula;

C=\pi r

where r=12.5cm is the radius of the semicircle.

C=3.14\times 12.5cm

C=39.25cm

QUESTION 5

The area of the entire figure is the area of the semicircle plus the area of the isosceles triangle.

Area=\frac{1}{2}\pi r^2+\frac{1}{2}bh

Area=\frac{1}{2}\times3.14\times12.5^2+\frac{1}{2}\times25\times 24

Area=345.3125+300

Area=645.3125cm^2

Area\approx645cm^2

QUESTION 6

The area of the parallelogram is given by the formula;

A=bh

From the diagram, b=y\:in.,h=3in..

Given, A=23.7 inches squared.

We substitute the values to obtain;

23.7=3y

y=\frac{23.7}{3}

y=7.9in.

QUESTION 7

The area of a rectangle is given by the formula;

Area=l\times b

The area of the bigger rectangle =9\times15=135in^2

The area of the smaller rectangle =8\times 13=104in^2

The area of the  shaded region =135-104=31in^2

5 0
3 years ago
List common factors of 9 and 18
In-s [12.5K]
9:{1,3 3,9}
18:{1,2,3 6,9,18}
8 0
3 years ago
Hey, could you please answer this question? My time is running out. A bicycle rental shop has a two tier pricing system based on
erastova [34]

Answer:

3.93 per hour

Step-by-step explanation:

The first 4 hours is at 20 hours / 4 hours  or 5 dollars an hours

The second  line has a slope of 2.50 dollars an hour

But there is also a surcharge when you go over 4 hours

That is a 5 dollar flat rate at 4 hours

Assuming that we do not include the flat rate in the hourly calculation

4 hours * 5 dollar + 3 hours * 2.50 = 20+7.50

27.50 is the hourly charge

Divide by 7 hours

3.928571429

3.93 per hour

4 0
3 years ago
Find the GCF of 6,36
Ksju [112]

Answer:

Okay, so the answer would be 6. please let this be the brainliest.

Step-by-step explanation:

Find the prime factorization of 36

36=2x2x3x3

gcf-2x3

7 0
3 years ago
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