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melamori03 [73]
3 years ago
6

A jeweler made a new crown for the queen. It was made with an 8.74-carat diamond, a 7.086-carat ruby, and a 4.932-carat sapphire

.
What is the approximate total weight of the gems?
Mathematics
1 answer:
miss Akunina [59]3 years ago
4 0

Answer:

20.758

Step-by-step explanation:

8.74 + 7.086 + 4.932

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Find the perimeter of each of the two non congruent triangles where a=15,b=20 and a=29
Alborosie

Answer:

b. about 63.9 units and 41.0 units

Step-by-step explanation:

In question ∠a= 29° and Side of a= 15 and b= 20

Using sine rule of congruence of triangle.

⇒ \frac{a}{sin A} = \frac{b}{sin B} = \frac{c}{sin C}

⇒ \frac{15}{Sin 29} = \frac{20}{sin B}

Using value of sin 29°

⇒ \frac{15}{0.49} = \frac{20}{sin B}

Cross multiplying both side.

⇒ Sin B= \frac{20\times 0.49}{15} = 0.65

∴ B= 41°

Now, we have the degree for ∠B= 41°.

Next, lets find the ∠C

∵ we know the sum total of angle of triangle is 180°

∴∠A+∠B+∠C= 180°

⇒ 29+41+B= 180

subtracting both side by 70°

∴∠C= 110°

Now, again using the sine rule to find the side of c.

\frac{b}{SinB} = \frac{c}{SinC}

⇒\frac{20}{sin41} = \frac{C}{sin110}

Using the value of sine and cross multiplying both side.

⇒ C= \frac{20\times 0.94}{0.65} = 28.92

∴ Side C= 28.92.

Now, finding perimeter of angle of triangle

Perimeter of triangle= a+b+c

Perimeter of triangle= (15+20+28.92)= 63.9

∴ Perimeter of triangle= 63.9 units

7 0
3 years ago
1. The table shows the relationship between y, the cost to rent a bicycle, and x, the amount of time the bicycle is rented in ho
Arlecino [84]

Answer:

I am not really sure what the question is But it is a slope

Step-by-step explanation:

5 0
3 years ago
Which Graph correctly solves the equation below? -1/2x^2 +2 = 2x^2 -8
lubasha [3.4K]

Answer:

see attachment

Step-by-step explanation:

The given equation is

-  \frac{1}{2}  {x}^{2}  + 2 = 2 {x}^{2}  - 8

The graph of the left hand side of this equation is

y =  -  \frac{1}{2}{x}^{2}  + 2

This quadratic graph has its vertex at (0,2) and turns upside down.

The right hand side of the equation is

y = 2 {x}^{2}  - 8

This quadratic graph opens upwards and has its vertex at (0,-8).

The two graphs intersects at two points , which are (-2,0) and (2,0).

6 0
3 years ago
Evaluatethe expression (-0.3)^4. what is the value of the expression​
ozzi

Answer:

(-0.3)^4 = 0.0081

Step-by-step explanation:

4 0
4 years ago
Find the x- and y-intercepts of the graph of the equation y = x2 – 2.
sertanlavr [38]

Answer:

See below ~

Step-by-step explanation:

<u>X-intercept(s) : Take y = 0</u>

  • 0 = x² - 2
  • x = ±√2
  • X-intercepts are : (-√2, 0) and (√2, 0)

<u>Y-intercept : Take x = 0</u>

  • y = (0)² - 2
  • y = -2
  • Y-intercept is : (0, -2)
3 0
2 years ago
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