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Tamiku [17]
3 years ago
8

Find the area of the shaded region .

Mathematics
1 answer:
klasskru [66]3 years ago
8 0
Area of the shaded region=area of the greater rectangle- area of the inner rectangle.

Area of a rectangle=length x width.

Area of the greater rectangle=(8x-1)(6x)
area of the inner rectangle=(5x+3)(2x)

Area of the shaded region=(8x-1)(6x)-(5x+3)(2x)
=48x²-6x-(10x²+6x)
=48x²-6x-10x²-6x
=38x²-12x

Answer: the area of the shaded region would be: 38x²-12x
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AC is tangent to circle O at point C. What is the length of OC
Sedaia [141]

Let OC is x, so OC=OB=x

{4}^{2}  + x^{2}  =  {(2 + x)}^{2}  \\ 16 +  {x}^{2}  = 4 + 4x +  {x}^{2}  \\ 12 = 4x \\ x = 3

Answer: OC=3 points

6 0
3 years ago
Bonjour, pouvez vous m'aidez svp ^^ Ci-contre, [MH] est une hauteur du triangle MAT. Éva affirme que le périmètre du triangle MA
Anna35 [415]

Cette question est incomplète.

Question complète

Exercer:

En face, [MH] est une hauteur du triangle MAT.

a.Calculer MH, puis HT.

b. Eva dit: "".

A-t-elle raison? Expliquer.

MA = 7,8cm

MT = 7,5cm

AH = 3cm

Answer:

La réponse d'Eva est incorrecte

Step-by-step explanation:

Nous résolvons les questions abive en utilisant le théorème de Pythagore

c² = a² + b²

a) Application de la formule ci-dessus:

Étape 1

Trouver MH

MA² = MH² + HA²

7,8² = MH² + 3²

MH² = 60,84-9

MH² = 51,84

MH = √51,84

MH = 7,2 cm

Étape 2

Résoudre pour HT

MT² = MH² + HT²

7,5² = 7,2² + HT²

HT² = 56,25 à 51,84

HT = √4,41

HT = 2,1 cm

b) La formule pour le périmètre du triangle MAT =

MA + MT + AH + HT

= 7,8 + 7,5 + 2,1 + 3 = 20,4 cm

Le périmètre du triangle MAT est de 20,4 cm

Donc, la réponse d'Eva est incorrecte

8 0
3 years ago
How old am I if 400 reduced by 2 times my age is 244?
lora16 [44]
If A is your age:
400 - 2A = 244
2A = 400 - 244
2A = 156
A = 78
5 0
3 years ago
Mollie watches a film that lasts 130 min it begins at 6:15 pm. What time did it end?
Natalka [10]
Answer:

Starts at 6:15

Note: An hour is 60 minutes.

So an hour after 6:15 is 7:15 and an hour after that is 8:15. Now just add another 10 minutes and you get 8:25.

So the film ended at 8:25.

8 0
3 years ago
A central angle theta in a circle of radius 7 m is subtended by an arc of length 8 m. Find the measure of theta in degrees. (Rou
gogolik [260]

Answer: In degrees , The measure of \theta=65.5^{\circ}

In radians , the measure of  \theta =\dfrac{8}{7}\text{ radians}.

Step-by-step explanation:

We know that the formula for length of arc is given by :-

l=\theta r

, where \theta = Central angle subtended by arc.

r= radius of the circle.

As per given , we have

Radius of circle : r=7 m

Length of arc : l=  8 m

Substitute these values in the above formula , we get

8=\theta (7)\\\\\Rightarrow\ \theta =\dfrac{8}{7}\text{ radians}

Hence, the measure of \theta =\dfrac{8}{7}\text{ radians}.

To convert it into degrees we multiply it with \dfrac{180^{\circ}}{\pi}

The measure of \theta =\dfrac{8}{7}\times\dfrac{180^{\circ}}{\pi}

=(\dfrac{8\times180}{7\times3.14})^{\circ}=65.5141037307^{\circ}

\approx65.5^{\circ}

Hence, the measure of \theta=65.5^{\circ}

8 0
3 years ago
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