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3 years ago

#7 HELP ! WILL GIVE BRANLIEST

Mathematics

1 answer:

likoan [24]3 years ago

3 0

Answer:

x = 8, y = 4√3, z = 8√3

Step-by-step explanation:

Assuming that y is the altitude of the triangle (perpendicular to the hypotenuse), the triangles are similar. So we can write proportions:

x / 4 = 16 / x

x² = 64

x = 8

4 / y = y / 12

y² = 48

y = 4√3

z / 12 = 16 / z

z² = 192

z = 8√3

Note: after finding one side, you can also use Pythagorean theorem to find the other two sides.

You might be interested in

If secθ = 13\5 and 270° < θ < 360°, then tanθ = _____. -12\5 -5\12 5\12 12\5

r-ruslan [8.4K]

Answer:

tanΘ = - $\frac{12}{5}$

Step-by-step explanation:

Using the trigonometric identity

tan²Θ + 1 = sec²Θ, thus

tan²Θ + 1 = ( $\frac{13}{5}$ )² = $\frac{169}{25}$ ( subtract 1 from both sides )

tan²Θ = $\frac{144}{25}$ ( take the square root of both sides )

tanΘ = ± $\sqrt{\frac{144}{25} }$

Since 270 < Θ < 360 , that is the fourth quadrant where tan Θ < 0, thus

tanΘ = - $\frac{12}{5}$

4 0

3 years ago

I will give you brainliest !! please help!

astra-53 [7]

The answer is 1.47
hope this help you

5 0

3 years ago

Peter took one of his friends out to lunch. The lunches cost $100 plus he

77julia77 [94]

Answer:

Tax = $12 Tip = $18 Total Cost = $130

Step-by-step explanation:

tax = tax percentage x amount

0.12 x 100 = 12

tip = tip percentage x amount

0.18 x 100 = 18

The Total Cost

total cost = cost + tax + tip

100 + 12 + 18

Add them up and it would be

$130

5 0

3 years ago

Perform the following operations and write the answers in radical form. Part A:√7+√3+√98−√18 Part B:3√5−3√11+2√121−3√90

Sveta_85 [38]

Answer:

$\sqrt{7}+\sqrt{3}+4\sqrt{2}$
$3\sqrt{5}-3\sqrt{11}+22-9\sqrt{10}$

Step-by-step explanation:

Part A ;

$\sqrt{7} +\sqrt{3} +\sqrt{98} -\sqrt{18} \\\\\sqrt{98}=7\sqrt{2}\\\sqrt{18}=3\sqrt{2}\\\\=\sqrt{7}+\sqrt{3}+7\sqrt{2}-3\sqrt{2}\\\\\mathrm{Add\:similar\:elements:}\:7\sqrt{2}-3\sqrt{2}=4\sqrt{2}\\\\=\sqrt{7}+\sqrt{3}+4\sqrt{2}$

Part B ;

$3\sqrt{5} - 3\sqrt{11} + 2\sqrt{121} -3\sqrt{90} \\\\2\sqrt{121}=22\\3\sqrt{90}=9\sqrt{10}\\\\=3\sqrt{5}-3\sqrt{11}+22-9\sqrt{10}$

8 0

3 years ago

The price of a ceramic bead necklace (Y) is directly proportional to the number of beads (x) on the necklace. Using the graph, w

Annette [7]

Answer: C) (1,0.80) represents the unit rate. E) (25,20) represents the price of a necklace with 25 beads

Step-by-step explanation:

(1, 0.80) represents the unit rate.

(25, 20) represents the price of a necklace with 25 beads.

$\frac{y}{x}$ = unit rate → $\frac{4}{5}$ = 0.80; $\frac{12}{15}$ = 0.80; $\frac{16}{20}$ = 0.80

Point (1, r) → (1, 0.80) represents the unit rate.

25(0.80) = 20; thus, (25, 20) represents the price of 25 beads.

Hope this helps

8 0

3 years ago