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.

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

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]

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

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.

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.

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]

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]

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]

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]

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

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

Answer:

13

Step-by-step explanation:

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

12 -8 +9= 13

Answer:

j

Step-by-step explanation:

Answer:

117

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

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°

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.

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

Answer:

C

Step-by-step explanation:

7×b-7×0.17b

=7b-1.19b

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

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

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

Answer:

10/70

Step-by-step explanation:

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:

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.

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/

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°

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

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)

Step-by-step explanation:

8²+x²=17²

74+ײ=289

x²=225

Sq root both sides

x=15

15×8=120 Sq ft

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:

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

Answer:

third one

Step-by-step explanation:

pls try it yourself lololol

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