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Volgvan
4 years ago
6

Nine more than twice a number is 17

Mathematics
1 answer:
Anettt [7]4 years ago
4 0

Answer:

2x+9=17

(solved is x=4)

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Suppose that y is inversely proportional to the 4th power of x, and that y=16 when x=6. What is y when x=3? Round your answer to
Ede4ka [16]
Please I’m I right ??

7 0
3 years ago
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2. The volume of both of these trapezoidal prisms is 24 cubic units. Their
Valentin [98]

Answer:

area of a trapezoidal base  of each prism with heights  6 and 8 units are 4 square units and 3 square units respectively

Step-by-step explanation:

Let us first be aware of formula of volume for any regular geometrical figure.

Fundamental formula for  volume for any regular geometrical figure is.

volume = area of cross section of object*  height of object (A)

In the problem stated area of cross section of object will be  area of a trapezoidal base.

Given in the question is

Volume of both the trapezoidal prisms = 24 cubic units

*************************************************************************************

For prism with height 6 unit

Substituting the value of height and volume in formula for trapezoidal prisms

24 = 6 * area of a trapezoidal base

=> area of a trapezoidal base = 24/6 = 4 square units

*************************************************************************************

For prism with height 8 unit

Substituting the value of height and volume in formula for trapezoidal prisms

24 = 8 * area of a trapezoidal base

=> area of a trapezoidal base = 24/8 = 3 square units

*************************************************************************************

Therefore area of a trapezoidal base  of each prism with heights  6 and 8 units are 4 square units and 3 square units respectively.

4 0
3 years ago
Find the values of x,y,z. This diagram is not a scale.
Serjik [45]

Important:
                             The sum of the three angles inside
                              every triangle is always 180°.


First, look at the left triangle alone.
Two of its angles are 46° and 58° .  (46° + 58° ) = 104°
That leaves (180° - 104° ) = 76° degrees for the third angle.
The third angle in that triangle is 'x'. 
                                                         x = 76° .

At the point where 'x' and 'z' come together:
'x' and 'z' are a "linear pair".
Placed side-by-side, they form a straight line.
So (x + z) = 180° .
But  x = 76°.
So z = (180° - 76°).              z = 104° .

Now look at the the skinny triangle on the right alone.
The angle at the top is 13°, and  z = 104°. 
(13° + 104°) = 117° . 
That leaves (180° - 117°) = 63° for the third angle.
'y' is the third angle.
                                                 y = 63° .

3 0
3 years ago
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Find the surface area of the composite figure. 6cm 5 cm 20cm 4cm 12cm 6cm​
Crazy boy [7]

Answer:

644 cm²

Step-by-step explanation:

Surface area of the composite figure = surface area of the large rectangular prism + surface area of the small rectangular prism - 2(area of the surface of the small rectangular prism that joins the larger prism)

✔️Surface area of the large rectangular prism = 2(LW + LH + WH)

L = 6 cm

W = 5 cm

H = 20 cm

Surface area = 2(6*5 + 6*20 + 5*20)

= 500 cm²

✔️Surface area of the small rectangular prism = 2(LW + LH + WH)

L = 6 cm

W = 4 cm

H = 12 cm

Surface area = 2(6*4 + 6*12 + 4*12)

= 288 cm²

✔️area of the surface of the small rectangular prism that joins the larger prism = L*W

L = 12 cm

W = 6 cm

Area = 12*6

= 72 cm²

✅Surface area of the composite figure = 500 + 288 - 2(72)

= 644 cm²

7 0
3 years ago
Ann is mailing packages. Each small package costs her $2.10 to send. Each large package costs her $3.30. How much will it cost h
Liula [17]

Answer:

$35.76

Step-by-step explanation:

12.60

23.10

--------

35.76

4 0
3 years ago
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