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In a class of 32 students
the mean height of the 14 boys is 1.56 metres
the mean height of all 32 students is 1.515 metres.

Work out the mean height of the girls.

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]

Step-by-step explanation:

8²+x²=17²

74+ײ=289

x²=225

Sq root both sides

x=15

15×8=120 Sq ft

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

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:

third one

Step-by-step explanation:

pls try it yourself lololol

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:

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

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.

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:

C

Step-by-step explanation:

7×b-7×0.17b

=7b-1.19b

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: 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:

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:

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

Answer:

10/70

Step-by-step explanation:

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:

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)

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

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:

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:

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

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

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

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

Answer:

j

Step-by-step explanation:

Answer:

117

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