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2 years ago

Really need help with this .

Mathematics

2 answers:

Elza [17]2 years ago

7 0

Answer:

216 square units

Step-by-step explanation:

Apparently, we're supposed to ignore the fact that the given geometry cannot exist. The short diagonal is too short to reach between the angles marked 98°. If Q and S are 98°, then R needs to be 110.13° or more for the diagonals to connect as described.

The equal opposite angles of 98° suggests that the figure is symmetrical about the diagonal RT. That being the case, diagonal RT will meet diagonal QS at right angles. Then the area is half the product of the lengths of the diagonals:

(1/2)×18×24 = 216 . . . . square units

_____

In a quadrilateral, the area can be computed as half the product of the diagonals and the sine of the angle between them. Here, we have assumed the angle to be 90°, so the area is simply half the product of diagonal measures.

lions [1.4K]2 years ago

6 0

Answer:

Step-by-step explanation:

The attached photo shows the diagram of quadrilateral QRST with more illustrations.

Line RT divides the quadrilateral into 2 congruent triangles QRT and SRT. The sum of the angles in each triangle is 180 degrees(98 + 50 + 32)

The area of the quadrilateral = 2 × area of triangle QRT = 2 × area of triangle SRT

Using sine rule,

q/SinQ = t/SinT = r/SinR

24/sin98 = QT/sin50

QT = r = sin50 × 24.24 = 18.57

Also

24/sin98 = QR/sin32

QR = t = sin32 × 24.24 = 12.84

Let us find area of triangle QRT

Area of a triangle

= 1/2 abSinC = 1/2 rtSinQ

Area of triangle QRT

= 1/2 × 18.57 × 12.84Sin98

= 118.06

Therefore, area of quadrilateral QRST = 2 × 118.06 = 236.12

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Olegator [25]

Answer:

Cost = 616000 DHS per square centimetre.

Step-by-step explanation:

curved surface of a cylinder = 2 $\pi$ rh

r = 7 cm

h = 1400 m = 140000 cm

The outer curved surface area of the cylinder = inner curved surface area of the cylinder

The inner curved surface of the cylinder = 2 $\pi$ rh

= 2 x $\frac{22}{7}$ x 7 x 140000

= 2 x 22 x 1 x 140000

= 6160000

The inner curved surface of the cylinder is 6160000 square centimetre.

But, the cost of painting is at the rate of 10 DHS per square centimetre.

The inner curved surface of the cylinder = 6.16 x $10^{6}$ square centimetre.

cost of painting the inner curved surface area = $\frac{6.16*10^{6} }{10}$

= 616000 DHS per square centimetre

The cost of painting the inner surface is 616000 DHS per square centimetre.

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2 years ago

Worth 20 pts

Verizon [17]

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2 years ago

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Masteriza [31]

Answer:

$(5,1)$

Step-by-step explanation:

Hi there!

Midpoint = $\displaystyle (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )$ where the two endpoints are $(x_1,y_1)$ and $(x_2,y_2)$

Plug in the given information:

Midpoint = (5,3), Endpoint = (5,5)

$(5,3)=\displaystyle (\frac{5+x_2}{2},\frac{5+y_2}{2} )$ where $(x_2,y_2)$ is the other endpoint

Solve for $x_2$ :

$\displaystyle \frac{5+x_2}{2} =5\\\\5+x_2 =10\\x_2 =5$

Solve for $y_2$ :

$\displaystyle\frac{5+y_2}{2}=3 \\\\{5+y_2}=6\\y_2=1$

Therefore, the other endpoint $(x_2,y_2)$ is $(5,1)$ .

I hope this helps!

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2 years ago

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Answer:

a. m=3

b. m= -1/4

c. m= 0.25

d. m= 7

Step-by-step explanation:

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