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2 years ago

−|9| = −9 True or False

Mathematics

2 answers:

Westkost [7]2 years ago

8 0

Answer:

false because the absolute value of -9 would be 9 not negativ 9

Ket [755]2 years ago

7 0

Answer:

false

Step-by-step explanation:

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List the angles in triangle QRS from smallest to largest.

schepotkina [342]

Answer:

angle R

Step-by-step explanation:

To solve this we will use cosine rule

Cosine rule

cos(A) = $\frac{b^{2}+c^{2}-a^{2}}{2bc}$

suppose,

q = 6.25

s = 11.04

r = 13.19

angleQ = $cos^{-1}(\frac{13.19^{2}+11.04^{2}-6.52^{2}}{2(13.19)(11.04)})$

= 30.58

angleR = $cos^{-1}(\frac{6.52^{2}+11.04^{2}-13.19^{2}}{2(6.52)(11.04)})$

= 93.82

angleS = $cos^{-1}(\frac{6.52^{2}+13.19^{2}-11.04^{2}}{2(6.52)(13.19)})$

= 56.63

4 0

2 years ago

Lisa's favorite chocolate candies are wrapped in the shape of a triangular prism with shiny gold paper as shown below. if all si

ANEK [815]

It is 96.
triangular part:
1/2 a* g = 1/2 * 8 * 3 = 12 = d
c = √(3²+(8/2)²)=5
square part:2*c + 2*b = 7*2 + 5 * 2 = 24 = e
since you have 2x triangular and 3x squares

2*d+ 3*e = 96

7 0

2 years ago

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In the figure, triangle CAE is an enlargement of triangle CBD with scale factor of 4/3. The area of the smaller triangle is 9cm2

balandron [24]

Answer:

16 cm^2

Step-by-step explanation:

Given

$\triangle CAE$ -- Bigger Triangle

$\triangle CBD$ -- Smaller Triangle

$k = \frac{4}{3}$ --- Scale factor

Area of CBD = 9

Required

Determine the area of CAE

The area of triangle CBD is:

$A_1 = \frac{1}{2}bh$

$\frac{1}{2}bh = 9$

The area of CAE is:

$A_2 = \frac{1}{2}BH$

Where:

$B = \frac{4}{3}b$ and

$H = \frac{4}{3}h$

The above values is the dimension of the larger triangle (after dilation).

So, we have:

$A_2 = \frac{1}{2}*\frac{4}{3}b * \frac{4}{3} * h$

$A_2 = \frac{1}{2}*\frac{4}{3} * \frac{4}{3} *b* h$

$A_2 = \frac{1}{2}*\frac{16}{9} *b* h$

Re-order

$A_2 = \frac{16}{9}*\frac{1}{2}* b* h$

$A_2 = \frac{16}{9}*\frac{1}{2}bh$

Recall that:

$\frac{1}{2}bh = 9$

$A_2 = \frac{16}{9}*9$

$A_2 = 16$

Hence, the area is 16 cm^2

3 0

2 years ago

Show work please. need asap.

Ulleksa [173]

Answer:

129 = QRX

Step-by-step explanation:

The exterior angle is equal to the sum of the opposite interior angles

49+80 = QRX

129 = QRX

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2 years ago

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What is a example of an irrational ?

Mazyrski [523]

Answer:

$\pi \: \: \ \sqrt{2} \: \: \sqrt{72 } \: \: \: \: 9.2434871...$

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2 years ago

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