PLEASE HELP PLEASE HELP

Answer:

D

Step-by-step explanation:

use the sine or cosine ratio in the right triangle.

using the sine ratio and the exact value

sin45° = [tex]\frac{\sqrt{2} }{2}[/tex] , then

sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{4}[/tex] = [tex]\frac{\sqrt{2} }{2}[/tex] ( cross- multiply )

2x = 4[tex]\sqrt{2}[/tex] ( divide both sides by 2 )

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

The value of x is 2√2.

Hence the correct option is D.

Given that a right triangle with acute angles 45° each, and hypotenuse is 4 units,

we need to find the length of the perpendicular,

In a right triangle, the length of the perpendicular (also known as the altitude) can be found using trigonometric ratios.

In this case, since we have an angle of 45°, we can use the sine or cosine function.

Let's use the sine function to find the length of the perpendicular:

sin(45°) = opposite / hypotenuse

sin(45°) = perpendicular / 4

1/√2 = perpendicular / 4

perpendicular = 4/√2

perpendicular = 2√2

Hence the value of x is 2√2.

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Answer:

54.45 in²

Let the base and height be 9.9 inches and 5.5 inches respectively.

Formula;

Area of parallelogram = Base × Height

Substitute the base and the height in the formula:

Evaluate the area of the parallelogram:

Answer:

54.45 in²

Step-by-step explanation:

Formula

Area of a parallelogram = base × height

If you turn the parallelogram so that the sides that measure 9.9in are the base, you will see that 5.5in is the height (refer to the attached diagram).  Therefore, we can use the formula with these values to calculate the area.

Given:

⇒ area = 9.9 × 5.5 = 54.45 in²

Answer:

Joel is losing money.

Step-by-step explanation:

4,721-35%=?

First, convert the percentage into a decimal.

35%=35/100=.35

Then multiply 4721 by .35 which is 1652.35

At last, subtract 4,721 by 1652.35= 3068.65

Answer:

C

Step-by-step explanation:

find the plot and interpret the point in the equation

Answer:

100mph

Step-by-step explanation:

Answer:

2,850

Step-by-step explanation:

I'm not very good with percentages, so this may be incorrect, but 1 ℅ of the total purchase price would be 2850 because 1 ℅ is essential 0.01 x 285,000. 285,000 would be adding the down-payment to the mortgage.

hope this helps

We are given the equation x² + 8x = 33, and we need to solve it from completing the square, for which we will be following the below steps

Step 1 :- First, notice, what's the coefficient of x², if it's 1, then proceed to step 2, if not then divide both sides by the coefficient of x²

[tex]{:\implies \quad \sf x^{2}+8x=33}[/tex]

Step 2 :- Here, we need to develop a whole square in both sides somehow, so we have the coefficient of x, so add the square of half of coefficient of x on both sides :

[tex]{:\implies \quad \sf x^{2}+8x+{\bigg(\dfrac82\bigg)}^{2}=33+{\bigg(\dfrac82\bigg)}^{2}}[/tex]

Simplify both sides now :

[tex]{:\implies \quad \sf x^{2}+8x+(4)^{2}=33+(4)^{2}}[/tex]

Step 3 :- So now, here LHS is in the form of a² + 2ab + b², so we can just replace it by (a + b)², and we will keep simplifying RHS

[tex]{:\implies \quad \sf (x+4)^{2}=33+16}[/tex]

[tex]{:\implies \quad \sf (x+4)^{2}=49}[/tex]

[tex]{:\implies \quad \sf (x+4)^{2}=(\pm 7)^{2}}[/tex]

Step 4 :- As, power on both sides is 2, so we can just equate the bases

[tex]{:\implies \quad \sf x+4=\pm 7}[/tex]

Step 5 :- Equating x + 4 to 7, will yield x = 3, and equating it to -7, will yield x = -11, so we are now left with

[tex]{:\implies \quad \boxed{\bf{x=-11,3}}}[/tex]

Answer:

The answer is C. 13

Step-by-step explanation:

Answer:

x=20

Step-by-step explanation:

These vertically opposite angles are equal

3x+50=6x-10

50+10=6x-3x

3x=60

x=20

Step-by-step explanation:

3x+50=6x-10(vertically opp angles)

3x-6x=-10-50

-3x=-60

Divide both side by - 3

X=20

we subtracted 4 from the x value

we subtracted 7 from the y value

Answer:

(x,y) => (x-4,y-7)

Answer:

D is the correct answer

Step-by-step explanation:

2n-1<5= n<3

2n-1>-5= n>-2

Answer:

Step-by-step explanation:

We can see that 9 is being added to each term.

Thus, we obtain the following rule:

To make this easier, let's simplify the rule.

Substitute 41 as "x" to obtain the 41st term:

The value of 41st term of sequence 8, 17, 26 is,

⇒ 368

An arithmetic sequence is the sequence of numbers where each consecutive numbers have same difference.

Given that;

The sequence is,

⇒ 8, 17, 26.

Now, The common difference is,

⇒ d = 17 - 8 = 9

⇒ d = 26 - 17 = 9

Thus, The sequence is in arithmetic.

Hence, The value of 41st term of sequence 8, 17, 26 is,

⇒ a + (n - 1)d

⇒ 8 + (41 - 1) 9

⇒ 8 + 369 - 9

⇒ 8 + 360

⇒ 368

Thus, The value of 41st term of sequence 8, 17, 26 is,

⇒ 368

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Answer:

4.9% increase

Step-by-step explanation:

Starts at 61 inches

Ends at 64 inches

64 - 61 = 3 inches increase

percent of 3 to 61

3 / 61

≈ 0.49

= 4.9%

Answer:

inverse variation

Step-by-step explanation:

Answer:

Locker B

Step-by-step explanation:

When you divide 32 by 3 you get 10.667. Then when you divide that by 4 you get $2.667/ft2 per week.

Answer:

Step-by-step explanation:

y = 2(2)2 - 5(2) - 9

= 8 - 10 - 9

= -11.

Answer:

The hundred thousands place

Step-by-step explanation:

Answer:

The hundred thoudsands place; (700,000)

Step-by-step explanation:

The places of the number are listed below:

Hundred Thousands - 700,000
Ten Thousands - 10000
Thousands - 4000
Hundreds - 500
Tens - 80
Ones - 3

The digit 7 is in the hundred thoudsands place.

hope this helps!

Answer:

D

Step-by-step explanation:

y=5x-2 since the formula is. y=mx+c

ANSWER: C. 25x^2 + 70x + 49

Hope for help po

Answer:

this is broken english

Step-by-step explanation:

ok ok

Answer:

the answer is 5100 im pretty sure.

Step-by-step explanation:

yes

Answer:

18.37500

Step-by-step explanation:

Here You Go! Hope It Helps Bud

Answer:

b=330.90 and c=314.97

Step-by-step explanation:

b=245×sin71.2/sin44.5. c=245×sin64.3/sin44.5. you get the 64.3 by subtracting 180_(71.2+44.5)

Answer:

6 units

Step-by-step explanation:

the horizontal difference is the distance between the x values of both points. we know the distance between 4 and -2 is 6.

Answer:

As they triangles are congruent, we can say that, angle A = angle O

So, angle A = 105+25 =130

A = 180 - 130 = 50° all angles in a triangle add up to 180)

Soo 50° is the answer,

I'm not too sure about it but I think this is correct, hope this helps, correct me if I'm wrong....

Answer:

(5,5)

(-3,-15)

(6,-12)

(-2,8)

Step-by-step explanation:

Multiply the value of "a" with the coordinates.

#1

y=ax²

Coordinates (1,5)

#2

So

Coordinates (5,-15)

#3

So

Coordinates (-2,-12)

#4

So

Coordinates (-4,8)