find out the arc length of DG and the measure of angle DHG

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Explanation:

Both legs are the same length, as indicated by the tickmark.

Use the pythagorean theorem to solve for x

[tex]a^2+b^2 = c^2\\\\( \sqrt{10} )^2 + ( \sqrt{10} )^2 = x^2\\\\10 + 10 = x^2\\\\x^2 = 20\\\\x = \sqrt{20}\\\\x = \sqrt{4*5}\\\\x = \sqrt{4}*\sqrt{5}\\\\x = 2\sqrt{5}\\\\[/tex]

The horizontal distance from Jayden to the bridge will be equal to 845.17 feets.

Trigonometry is the branch of mathematics which set up a relationship between the sides and angle of the right-angle triangles.

Given that:-

The angle of elevation of 42⁰

The bridge stands 761 feet above

Here the horizontal distance will be calculated as:-

[tex]x= \dfrac{761}{tan42}=845.187\ feet\\[/tex]

Therefore the horizontal distance from Jayden to the bridge will be equal to 845.17 feet.

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Answer:

TU ≈ 12.96

Step-by-step explanation:

Using the Altitude on Hypotenuse theorem

(leg of outer triangle)² = (part of hypotenuse below it) × (whole hypotenuse)

TU² = UV × SU = 6 × 28 = 168 ( take square root of both sides )

TU = [tex]\sqrt{168}[/tex] ≈ 12.96 ( to the nearest hundredth )

Answer:

isn't it b i remember doing something almost the same as this

Answer:

24

Step-by-step explanation:

f(4) means you plug the 4 into the equation so 4 x 4= 16

then 3(4)= 12

16+12-4=24

Answer:

2224.32 cm³

Step-by-step explanation:

La fórmula para el volumen de una pirámide hexagonal = 1/3 (1/2 × P × a) × h

Donde a = Apotema = 9,93 cm

P = Perímetro =

Pirámide hexagonal = 6 × Bordes de la base = 6 × 8 cm = 48 cm

h = Altura = 28 cm

Por eso,

Volumen de la pirámide hexagonal = 1/3 (1/2 (48 × 9.93) × 28 cm

= 1/3 × 238.32 × 28 cm

= 2224.32 cm³

Volumen de la pirámide hexagonal = 2224.32 cm³

Answer:

2ft

Step-by-step explanation:

Depth = volume / ( length x width)

11.81 / (2.8 x 1.7)

11.81 / 4.76

depth = 2.48

2 ft (to the nearest whole number)

Answer:

9.6% or 9.7% did not finish

Step-by-step explanation:

You can solve this 2 different ways:

First way: 17+8=25, so 25 out of 260 did not complete. 25/260=0.096, or 9.6% did not finish.

Second way: 235 out of 260 finished. 235/260=0.903, or 90.3% finished. 100-90.3= 9.7, which is almost exactly equal to our first answer.

They can't be the same because 25/260 and 235/260 are very random decimals, so the answer is 9.6% to 9.7% :)

Answer:

x = 32

Step-by-step explanation:

The sum of all interior angles of this pentagon is 540

Solve for x by using this formula

540 = (180-71)+(180-85)+(180-44)+(180-3x)+(180-2x)

540 = 700 - 5x

540 - 700 = -5x

-160 = -5x

-160/-5 = x

32 = x

Answer:

8 = 3a + 4

4=3a

4/3=a

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

a = [tex]\frac{4}{3}[/tex]

Step-by-step explanation:

To solve for a, you must isolate it (variables on one side, constants on the other):

8 = 3a + 4 (starting equation)

8 - 4 = 3a + 4 - 4 (subtract 4 from both sides)

4 = 3a + 0 (calculate)

4 = 3a (no need to write +0)

[tex]\frac{4}{3}[/tex] = [tex]\frac{3a}{3}[/tex] (divide both sides by 3)

[tex]\frac{4}{3}[/tex] = a (simplify -- 3/3 = 1)

So, a = [tex]\frac{4}{3}[/tex].

Answer:

the answer is if a=5

than, 5+x=-3

or,x=-3-5

therefore x=-8

Answer:

[tex]x = - 8[/tex]

Step-by-step explanation:

[tex]a + x = - 3[/tex]

[tex]5 + x = - 3[/tex]

[tex] x = - 3 - 5[/tex]

[tex]x = - 8[/tex]

Answer:

Completa la tabla para la expresión en que y= 2x – 1

y = 2x – 1

y = 2(1) – 1

y = 2 – 1 = 1 ahora hagan lo mismo con los otros valores de x en la tabla notación científica las siguientes cantidades, observa el ejemplo

Answer:

The volume of the cylinder is 125.664 cubic inches, without rounding off

Answer:

they are congruent im pretty sure

Step-by-step explanation:

looks like they are congruent by SAS

Answer:its a or c hope it helps i

Step-by-step explanation:

Answer:

It is a vertical COMPRESSION

Step-by-step explanation:

"The graph of function g is a vertical compression of the graph of function f"... I just took the test. It's NOT B. Hope this helps!

Answer:

Angle BCA = 90

Step-by-step explanation:

A triangle inscribed inside of a circle using the diameter as it's hypotenuse is a right triangle

Where the angle opposite of the hypotenuse ( or diameter ) is the right angle

Angle BCA is the angle opposite of the diameter

Hence BCA = 90

Answer: -42 is the answer.

Answer:

Step-by-step explanation:

x=[tex]\sqrt{100+16}[/tex]

x=[tex]\sqrt{116}[/tex]

x=2[tex]\sqrt{29[/tex]

Answer:

[tex] x = \blue{2\sqrt{29}} [/tex]

Step-by-step explanation:

[tex] a^2 + b^2 = x^2 [/tex]

[tex] 4^2 + 10^2 = x^2 [/tex]

[tex] 16 + 100 = x^2 [/tex]

[tex] x^2 = 116 [/tex]

[tex] x = \sqrt{116} [/tex]

[tex] x = \sqrt{4 \times 29} [/tex]

[tex] x = \blue{2\sqrt{29}} [/tex]

Answer:

Decreasing linear

Step-by-step explanation:

An arithmetic sequence decreases by a set amount every time through subtraction, so that means it's linear

Answer:

B.white

Step-by-step explanation:

They are more white mask.

Answer:

C. 25 ft²

Step-by-step explanation:

the length of side = 20/4 = 5 ft

so the area of the square = 5² = 25 ft²

Answer:

C: 25 ft2

Step-by-step explanation:

Perimeter is the factor of all the side lengths added together. If 4 equal sides added together equals 20, what times 4 equals 20? 5 times 4 equals 20. Which means the side length is 5. Area is side length x side length, so 5 x 5=25 so the answer is C hope this helps!

Answer:

a = 2

b = 0

c = 3

Step-by-step explanation:

if I understand correctly the problem should look like

2x⁴ + 2x³ + 5x² + 3x + 3 = (x² + x + 1)(ax² + bx + c)

let's calculate the right side

ax⁴ + ax³ + ax² + bx³ + bx² + bx + cx² + cx + c

as there is only one term of x⁴, we know a = 2

as there is only one term without any x, we know c = 3

now we get

2x⁴ + 2x³ + 2x² + bx³ + bx² + bx + 3x² + 3x + 3

remember, that is equal to

2x⁴ + 2x³ + 5x² + 3x + 3

after subtracting 2x⁴ and 3 from both sides we get

2x³ + 5x² + 3x = 2x³ + 2x² + bx³ + bx² + bx + 3x² + 3x

we subtract 2x³ and 3x from both sides and get

5x² = 2x² + bx³ + bx² + bx + 3x² = 5x² + bx³ + bx² + bx

we subtract 5x² from both sides and get

0 = bx³ + bx² + bx

=> b must be 0 to make this true for all values of x

Answer:

7 m

Step-by-step explanation:

63/9=7 and 7*9=63

Answer: 7.

Step-by-step explanation:

Divide 63 and 9 and you get 7. Remember, length times width equals area.

Answer: The slope of the line is -2

Step-by-step explanation:

We can use the formula [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex] to solve to for this

[tex]\frac{-9--1}{-1--5} \\\frac{-8}{4} \\-2[/tex]

Answer:

Wouldn't it be B?

Step-by-step explanation:

When you have a radical like -[tex]\sqrt{25}[/tex], it would be -5 because the negative is added after the radical is simplified. When the negative is in the inside like your [tex]\sqrt{-25}[/tex], then you can ignore the negative temporarily and simplify to get 5. Then you add an imaginary number.

So it would be 5i?

5si = good

Given :

The garden is 12m by 10m. 15% of the total area is gardern patch and 3/8 is a flowerbed.

Solution :

Area of lawn = Area of garden - area of garden patch - area of flowerbed.

[tex]A = 12\times 10 - 12\times 10 \times 0.15 - \dfrac{3}{8} \times 12 \times 10\\\\A = 57 \ m^2[/tex]

Total cost of spray is given by :

[tex]Total \ cost =Total\ area \times cost \ per \ area\\\\T = 57 \times \dfrac{0.35}{3} \\\\T = \$6.65[/tex]

Hence, this is the required solution.

Answer:

x = 71.5 in

Step-by-step explanation:

Remember the SOHCAHTOA rule

Soh...

Sine = Opposite / Hypotenuse

...cah...

Cosine = Adjacent / Hypotenuse

...toa

Tangent = Opposite / Adjacent

In this case, we use: CAH.

cos(52) = 44/x

x = 44/cos(52)

x = 71.5 inches

Answer:

99407/100000

Step-by-step explanation:

100000 - 593 = 99407

Answer:

C.) g(x) = 3x^2