A maple tree is 16 yards tall and its shadow is 12 yards long. A nearby observation tower is 12 yards tall. How long is the observation tower's shadow? Write your answer as a whole number or a decimal. Do not round.

Answers

Answer 1

Answer: 9 yards

Step-by-step explanation:

Given

The maple tree is 16 yards tall and its shadow is 12 yards tall

Suppose the angle made by the maple tree is x

[tex]\Rightarrow \cos x=\dfrac{12}{16}[/tex]

For the tower also, the angle made by the tower and its shadow is x

Suppose the length of the shadow is y

[tex]\Rightarrow \cos x=\dfrac{y}{12}[/tex]

Substitute the value of [tex]\cos x[/tex]

[tex]\Rightarrow \dfrac{y}{12}=\dfrac{12}{16}\\\\\Rightarrow y=9\ \text{yards}[/tex]

A Maple Tree Is 16 Yards Tall And Its Shadow Is 12 Yards Long. A Nearby Observation Tower Is 12 Yards

Related Questions

1.55y-(5y-17)/100=0.02

Answers

Multiply both sides by 100
1.55y -(5y-17)/100 * (100) = (0.02)*(100)
1.55y -(5y-17) = 2

Simply both sides of the equation
-3.45y + 17 = 2

Subtract 17 from both sides
-3.45y + 17-17 = 2-17
-3.45y = -15

Divide both sides by -3.45.
-3.45y = -15
-3.45 -3.45

y = 4.347826

Abigail and her children went into a movie theater and she bought $71.50 worth of
drinks and pretzels. Each drink costs $4 and each pretzel costs $4.75. She bought a
total of 16 drinks and pretzels altogether. Determine the number of drinks and the
number of pretzels that Abigail bought.

Answers

Answer: The number of drinks she bought would be 6 and the number of pretzels she bought would be 10.

Christina is making a necklace using beads. She has 20 red, 14 blue, 10 purple, 28 green, and 8 yellow beads. She randomly chooses a bead to start the necklace. What is the probability of Christina choosing a purple bead?

Answers

Answer:

10/70

Step-by-step explanation:

Round 0.589 to the nearest hundredth
A. 0.59
B. 0.6
C. 0.58
D. 1

Answers

The answer is a: 0.59.
The answer would be A. 0.59.

Tenths: .5
Hundredths: . 8
Thousandths: . 9

9 is more than 5 so you round up.

And the next number is 9.

Therefore, it would be 0.59.


Help pleaseeeeeeeeeee

Answers

Answer:

1.No

2.No

Step-by-step explanation:

5=x+5  x=10

5=10+5

5=15 is not solution

12x=196  x=7

12*7=196

84=196

Please help ASAP I’ll mark you as brainlister

Answers

Answer:

So Sorry Omg Wait I'll will come back

Answer:

The length of rectangular prism(l)=13inch

The breadth of rectangular prism(b)=9inch

the height of rectangular prism(h) =3inch

Volume of a rectangular cuboid =l×b×h

=13×9×3inch (write cube too)

=351 inch (write cube too)

HELPPP ITS A TESTAKAJNSDUJSWMNS

Answers

Answer:

5^6

Step-by-step explanation:

by the law of exponents,

5^2 * 5^(-8)

5^ [2+ (-8)]

5^(2-8) = 5^-6 = 1/5^6 = 5^6

In the triangle above, the measure of A is 66°, and the measure of B is 68°. What is the measure of C?

Answers

Answer:

46°

Step-by-step explanation:

Given that :

Angle, A = 66°

Angle B = 68°

The sum of angles in a triangle is given by :

A + B + C = 180° (sum if angles una triangle)

66° + 68° + C = 180°

134° + C = 180°

C = 180° - 134°

C = 46°

Hence, angle C is 46°

6,782.4 round nearest whole number

Answers

Answer: 6,782

Step-by-step explanation: Since 4 is less than 5, you do not change the number resulting in the answer being 6,782

Answer:

6780

Step-by-step explanation:

Regina Falange is 173 cm tall, making her line of sight exactly 163 from the ground. She is looking at a hawk in a tree and both are on level ground. The trunk of the tree is 10 meters away from her location and the angle of elevation from her eyeline to the hawk is 30 degrees. What is the hawk’s height above the ground?
a. Drawn a diagram that outlines the situation. Be sure to label the tree, hawk, Regina, the angle, etc.
b. Find the height of the hawk above the ground in cm. (Hint: Remember Regina’s height.) Round to the nearest hundredth.

Answers

Answer: 7.40 meters

Step-by-step explanation:

I went with 163 cm for the height because it says her eyeline is at 163 cm. I don't assume she would be looking from the top of her head so I went with that over 173 cm(h for hawk)

All you do is:

tan(30)=opposite/adjacent

tan(30)=h/10

10*tan(30)=h

h≈5.77 meters

163cm converted to meters is 1.63 meters, so add it to 5.77 and you will get 7.40 meters

This might help as well: https://www.ck12.org/book/ck-12-trigonometry-concepts/section/1.13/

As shown in the diagram below, quadrilateral WXYZ is inscribed in a circle and m∠WZY = 69 degrees

Find the m∠WXY

Answers

9514 1404 393

Answer:

  m∠WXY = 111°

Step-by-step explanation:

Opposite angles of an inscribed quadrilateral are supplementary.

  m∠WXY = 180° -m∠WZY

  m∠WXY = 180° -69°

  m∠WXY = 111°

hii please help i’ll give brainliest

Answers

Answer:

third one

Step-by-step explanation:

pls try it yourself lololol

Examine the system of equations.
-5x + 5y = 40
4x +
Зу = 24
What is the solution?

Answers

Answer:

y = 26.2857143 or 184/7 or 26 2/7

x = -13.7142857 or -96/7 or -13 5/7

Step-by-step explanation:

-5x + 5y = 40

-x + y = 40

x = -40 + y

substitute x for -40 + y

4(-40 + y ) + 3y = 24

-160 + 4y + 3y = 24

7y = 184

y  = 26.2857143 (?)

x = -40 + 26.2857143

x = -13.7142857

Please do Correctly will mark you Brainliest!

Answers

Answer:

279...................................

Answer:

[tex] \rm\displaystyle \: A _{ \text{ total}} = 212 [/tex]

Step-by-step explanation:

Prefer the attachment

so we have 3 rectangle

recall that,

[tex] \displaystyle \: A _{ \text{ rect}} = l \times w[/tex]

rectangle-1:

the width of the rectangle is 10m

and the length is 12+5=17m

so the area is

[tex] \displaystyle \: A _{ \text{ rect - 1}} = 17 \times 10[/tex]

[tex] \displaystyle \: A _{ \text{ rect - 1}} =170 \: {m}^{2} [/tex]

rectangle-2:

the length is 9 m

the width is 3 m

so the area is

[tex] \displaystyle \: A _{ \text{ rect - 2}} = 9 \times3[/tex]

[tex] \displaystyle \: A _{ \text{ rect - 2}} = 27 \: {m}^{2} [/tex]

rectangle-3:

the length is 5m

the width is 3m

so the area is

[tex] \displaystyle \: A _{ \text{ rect - 3}} = 5 \times 3[/tex]

[tex] \displaystyle \: A _{ \text{ rect - 3}} = 15 {m}^{2} [/tex]

total area:

[tex] \rm\displaystyle \: A _{ \text{ total}} =170 \: {m}^{2} + {27m}^{2} + {15m}^{2} [/tex]

[tex] \rm\displaystyle \: A _{ \text{ total}} = 212 {m}^{2} [/tex]

If f(x)=3x^2-4x+9, find the f(2)​

Answers

Answer:

13

Step-by-step explanation:

3(2)(2) -4(2)+9

12 -8 +9= 13

13


Well you will plug in 2 into x and it’ll give you 3(2)^2-4(2)+9 and when you work that out you get 3(4)-8+9 and then work that out and you’ll get 12-8+9 and then a final answer of 13

-6x+6y= -24
-6x+9y= −45

Answers

Answer:

1. X- Intercepts(s) : (4,0)

X- Intercepts(s) : (4,0)

X- Intercepts(s) : (4,0) Y- Intercepts(s) : (0, -4)

X- Intercepts(s) : (4,0) Y- Intercepts(s) : (0, -4)2. . X- Intercepts(s) : (15/2, 0 in fraction form.)

X- Intercepts(s) : (4,0) Y- Intercepts(s) : (0, -4)2. . X- Intercepts(s) : (15/2, 0 in fraction form.) Y- Intercepts(s) :( 0, -5)

Step-by-step explanation:

To Find the X- Intercept Subsitute in 0 For Y solve for x. To find the y-intercept Substitute in 0 for x and solve for y.

GEOMETRY HELP PLEASE!! WILL MARK BRAINLEIST!
4

Answers

Given:

PQRS is a rectangle.

X is the midpoint of SR.

To find:

The measure of QX.

Solution:

It is given that X is the midpoint of SR. Draw a perpendicular on PQ from point X as shown in the below figure.

Now, the line XY divides the rectangle PQRS into two equal squares of sides 4 units.

The diagonal of a square is:

[tex]d=a\sqrt{2}[/tex]

Where, a is the side length of the square.

QX is the diagonal of the square whose side length is 4 units. So, the length of QX is:

[tex]d=4\sqrt{2}[/tex]

[tex]d=5.656854[/tex]

[tex]d\approx 5.7[/tex]

Therefore, the measure of segment QX is about 5.7 units.

Which iequailty model and solution set best represents the possible side lengths of miriam's bulletin board?

Answers

Question:

Miriam is making a bulletin board that is shaped like a square. She has 72 inches of border material. If x represents the length of one side of the bulletin board, which inequality model and solution set best represents the possible side lengths of Miriam's bulletin board?​

Answer:

[tex]x \le 18[/tex]

Step-by-step explanation:

Given

[tex]Border\ Material = 72[/tex]

Required

Determine an inequality for x

Represent the side lengths of the border with y. So:

Since the border is on the 4 sides, then

[tex]4y = 72[/tex] -- i.e. the perimeter of the border material

Solve for y

[tex]y =\frac{72}{4}[/tex]

[tex]y =18[/tex]

Recall that x represents the board's side length.

Since x will be situated inside the boarder, then.

[tex]x \le y[/tex]

Substitute [tex]y =18[/tex]

[tex]x \le 18[/tex]

Evaluate the numerical expression.



(5 + 3) x 2 - 6


please help!

Answers

Answer:

10

Step-by-step explanation:

Please use " * " or " · " to indicate multiplication; " x " is a variable, not an operator.

(5 + 3) x 2 - 6 => (5 + 3)·2 - 6

Order of operations rules require that we do first any work inside parentheses.  So we have:

(5 + 3)·2 - 6 => (8)·2 - 6

Those same rules dictate that we must multiply before subtracting.  So now we obtain:

16 - 6 = 10

please help! odfpfpsdfsdlfsdfnlkfn pleaseeeeee

Answers

Answer:

x = 13

Step-by-step explanation:

Since the two given angles are vertical angles, we know (5x) = 65.

Divide both sides by 5 : 5x = 65    and we get x = 13

                                             5

The Vatican has to be guarded 24 hours a day. Fifteen Swiss Guards are ordered to split each day's guard duty equally. How long will each Swiss Guard spend on guard duty in one day? Record your answer in hours and minutes.

Answers

Answer: Each Swiss Guard will spend 1 hour 36 minutes on guard duty in one day.

Step-by-step explanation:

Given: The Vatican has to be guarded 24 hours a day.

Total Swiss Guards  = 15

If they split each day's guard duty equally, the time they will spend on guard duty in one day = (24)÷ 15

= [tex]\dfrac{24}{15}[/tex] hours

[tex]=\dfrac85[/tex] hours

[tex]=1\dfrac35[/tex] hours

= [tex]\text{1 hour }\dfrac35\times60\text{ minutes}[/tex]

= [tex]\text{ 1 hour }36\text{ minutes}[/tex]

Hence, each Swiss Guard will spend 1 hour 36 minutes on guard duty in one day.

A group of hikers begins a trip with 30 pounds of food per hiker. They will eat a total of 12 pounds of food a day. If there are 7 hikers, which equation can be used to find y, the amount of food remaining after x days? F) y = 12x + 30 G) y = -7x + 84 H) y = 12x + 210 J) y = 30x-12

Answers

Given:

Food = 30 pounds of food per hiker.

Food consumption = 12 pounds of food a day.

No. of hikers = 7

To find:

The equation for the given situation.

Solution:

Let x be the number of days and y be the amount of remaining food.

Total amount is the product of number of hikers and food per hiker.

[tex]\text{Total food}=7\times 30[/tex]

[tex]\text{Total food}=210[/tex]

Food consumption of one day = 12 pounds

Food consumption of x days = 12x pounds

Now,

Remaining food = Total food - Food consumption of x days

[tex]y=210-12x[/tex]

[tex]y=-12x+210[/tex]

Therefore, the required equation is [tex]y=-12x+210[/tex].

Note: Option C is correct if there is -12 instead of 12.

A washer and a dryer cost $774 combined. The washer costs $76 less than the dryer. What is the cost of the dryer?

Answers

Answer:

The dryer costs 425 dollars

Step-by-step explanation:

x - washer

y - dryer

x+y=774

x=y-76

(y-76)+y=774

2y=774+76, 2y=850

y=425

y-76=x

425-76=x

x=349

Find the Volume if the height is 10 cm and radius 3 cm? Round to the nearest
whole number

Answers

[tex]282.8cm pa brainlest po[/tex]

Find m of angle NSR.

Answers

Answer:

j

Step-by-step explanation:

Answer:

117

Step-by-step explanation:not sure the steps but my teacher gave the answers out

Write in word form:

436,783,210

Answers

Answer:

Four hundred thirty six million, seven hundred eighty-three thousand, two hundred ten

Step-by-step explanation:

four hundred and thirty six

seven hundred and eighty three

two hundred and ten

Step-by-step explanation:

In rugged terrain, Martin can hike 1/8 Mile in 1/2 hour. At this rate, how far can Martin hike in 1 hour?
A. 5/8 mile
B. 1/16 mile
C. 1/4 mile
D. 1/6 mile​

Answers

1/4 mile because if martin is able to walk 1/8 mile in half an hour then what you do is add 1/8+ 1/8 which gets 1/4 mph

Jamie has a rectangular room in her home with a width of 8 feet and a diagonal distance of 17 feet. Find the total area of the room.

Answers

Step-by-step explanation:

8²+x²=17²

74+ײ=289

x²=225

Sq root both sides

x=15

15×8=120 Sq ft

Challenge The bakery manager at the grocery store decides to have a 17% off sale on all bread.
You decide to purchase 7 loaves of bread. Let b be the original price of a loaf of bread. Expand the
expression 7(b-0.17b). What do the terms of the expansion represent?
Which expression represents the correct expansion?
OA. 7b - 1.19
OB. 7b + 1.19
OC. 7b - 1.19b
OD. 7b + 1.19b

Answers

Answer:

C

Step-by-step explanation:

7×b-7×0.17b

=7b-1.19b

C ........................

In the figure name ALL the angles that are congruent to angle 8.

Answers

The angels that are congruent to 8 are 6, 3, 1.

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