I need help ASAP jsnsnsbdbsbsnsnsnd

Answer:

[tex]m\angle 2=53^{\circ}[/tex]

[tex]m\angle 7=74^{\circ}[/tex]

Step-by-step explanation:

It is given that quadrilateral GHJK is a rectangle and [tex]n\angle 3=37^{\circ}[/tex].

All interior angles of a rectangle are right angles. Diagonals are equal and bisect each other.

Now,

[tex]m\angle HKJ+m\angle HKG=90^{\circ}[/tex]    (Interior angles of a rectangle are right angles)

[tex]m\angle 3+m\angle HKG=90^{\circ}[/tex]

[tex]37^{\circ}+m\angle HKG=90^{\circ}[/tex]

[tex]m\angle HKG=90^{\circ}-37^{\circ}[/tex]

[tex]m\angle HKG=53^{\circ}[/tex]

In an isosceles triangle, angle with equal sides are equal.

[tex]m\angle JGK=m\angle HKG[/tex]

[tex]m\angle 2=53^{\circ}[/tex]

Therefore, measure of angle 2 is 53 degrees.

Let the diagonals intersect each other at point O.

In triangle OGK,

[tex]m\angle OGK+m\angle OKG+m\angle GOK=180^{\circ}[/tex]    (Angle su property)

[tex]53^{\circ}+53^{\circ}+m\angle GOK=180^{\circ}[/tex]

[tex]106^{\circ}+m\angle GOK=180^{\circ}[/tex]

[tex]m\angle GOK=180^{\circ}-106^{\circ}=74^{\circ}[/tex]

Vertical opposite angles are equal. So,

[tex]m\angle 7=74^{\circ}[/tex]

Therefore, measure of angle 7 is 74 degrees.

Answer:

40/100 = 0.4

your welcome

Answer:

[tex]\boxed{\mathrm{view \: attachment}}[/tex]

Step-by-step explanation:

The zeros of a function is where the function crosses the x-axis. The x-intercepts are the zeros of a function.

[tex]f(x) = (x - 1)(x - 7)[/tex]

Let output equal to 0.

[tex]0 = (x - 1)(x - 7)[/tex]

Set factors equal to 0.

[tex]x-1=0\\x=1[/tex]

[tex]x-7=0\\x=7[/tex]

The zeros of the function are [tex]x=1[/tex] and [tex]x=7[/tex].

Answer:

Step-by-step explanation:

Hope this Helps ;)

Distribute the sum:

[tex]\displaystyle\sum_{i=1}^{24}(3i-2)=3\sum_{i=1}^{24}i-2\sum_{i=1}^{24}1[/tex]

Use the following formulas:

[tex]\displaystyle\sum_{i=1}^n1=n[/tex]

[tex]\displaystyle\sum_{i=1}^ni=\dfrac{n(n+1)}2[/tex]

[tex]\implies\displaystyle\sum_{i=1}^{24}(3i-2)=3\cdot\frac{24\cdot25}2-2\cdot24=\boxed{852}[/tex]

In case you don't know where those formulas came from:

The first one is obvious; you're just adding n copies of 1, so 1 + 1 + ... + 1 = n.

The second can be proved in this way: let S be the sum 1 + 2 + 3 + ... + n. Rearrange it as S = n + (n - 1) + (n - 2) + ... + 1. Then 2S = (n + 1) + (n + 1) + (n + 1) + ... + (n + 1), or n copies of n + 1. So 2S = n(n + 1). Divide both sides by 2 and we're done.

Answer:

4

Step-by-step explanation:

y = 4 sin (3x)

The amplitude is the coefficient in front of sin

4 is the amplitude

Answer:

see below

Step-by-step explanation:

f(x) = –(x + 6)(x + 2)

The function is increasing until it reaches the vertex, so it will increase until x=-4.  The function will decrease after the vertex, so after x = -4

increasing: -∞ < x < -4

decreasing : -4 < x < ∞

Answer:

The function is increasing for all real values of x where x is -2

Step-by-step explanation:

You can put your work in a graphing calculator

The answer is C. Ability to rust. This is because rusting is a chemical property of a substance, which is caused by environmental factors causing said substance to tarnish.

Step-by-step explanation:

Total letters = 11

Probability of letter M = 2/11

Probability of second M = 1/10

Answer:

A. 336 ft²

Step-by-step explanation:

Add the sides: 6*8 + 6*12 + 12*8 + 10*12 = 336

One little trick: the area of the triangle sides is base times half height, i.e., 6*8/2, but since we have two of them you can just use 6*8!

Answer:

Step-by-step explanation:

Solve 3x + 5y = 1 for y to obtain the slope of the given line:

5y = -3x + 1, or y = (-3/5)x + 1.

Any line perpendicular to this one has the slope which is the negative reciprocal of (-3/5):  That would be 5/3.

The desired line has slope 5/3 and passes through (2, 7);

Adapt y = mx + b by substituting the known values, to find b:

7 = (5/3)(2) + b.  The LCD is 3, so multiply each term by 3 to eliminate the fractional coefficient:

21 = 10 + 3b, or 11 = 3b.  Then b = 11/3, and the desired equation in slope intercept form is

y = (5/3)x + 11/3

To obtain the standard form, multiply all three terms by 3 again:

3y = 5x + 11, or

5x + 11 - 3y = 0, or

5x - 3y + 11 = 0

Answer:

a = 3

Substitute the value of point (a,7) in the equation and solve for a

5(a)-7=8

5(a)=8+7

5(a)=15

a = 15/5 = 3

God Bless and stay safe!

- Eli <3

Answer:

living organism

Step-by-step explanation:

soil particals and decad crops living organism

Answer:

The answer is 24.

Answer:

24

Step-by-step explanation:

Seeing that triangle ACD is a 5-12-13 right triangle, AD=12. Then using Pythagorean Theorem, we can calculate BD to be BD=[tex]\sqrt{15^2-12^2}=\sqrt{3^2(5^2-4^2)}=3\sqrt{25-16}=3\sqrt{9}=3 \cdot 3 = 9$[/tex]. Thus, the area of triangle ABD is [tex]$\frac{1}{2} \cdot 12 \cdot 9=6 \cdot 9=54 \text{ sq units}$[/tex] and the area of triangle ACD is [tex]$\frac{1}{2} \cdot 12 \cdot 5=6 \cdot 5=30 \text{ sq units}$[/tex]. The area of triangle ABC is the difference between the two areas: [tex]$54 \text{sq units} - 30 \text{sq units} = \boxed{24} \text{sq units}$.[/tex]

Answer:

63m

Step-by-step explanation:

Step-by-step explanation:

great circle = 9[tex]\pi[/tex] = r^2.[tex]\pi[/tex] --> r = 3 m

Surface area S = 4[tex]\pi[/tex].r^2 = 36[tex]\pi[/tex] m^2

Volume V = 4/3[tex]\pi[/tex].r^3 = 36[tex]\pi[/tex] m^3

The volume of a sphere is 36π m³ and the Surface area of sphere 36π m². Therefore, option A is the correct answer.

The volume of sphere is the measure of space that can be occupied by a sphere.  If the radius of the sphere formed is r and the volume of the sphere is V. Then, the volume of the sphere is given by: Volume of Sphere, V = (4/3)πr³

Given that, sphere with great circle area 9π m².

We know that, area of a circle = πr²

Now, πr²=9π m²

r=3 m

Here, volume of a sphere = 4/3 ×π×3³

= 36π m³

Surface area of sphere = A = 4πr²

= 4×π×3²

= 36π m²

Therefore, option A is the correct answer.

To learn more about the volume of a sphere visit:

https://brainly.com/question/9994313.

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Answer:

y = 10 - 0.5x for 0 &le;  x &le; 20

Step-by-step explanation:

Initial value = (0,10)

final value = (20,0)

Cost per trip = debit of 0.50 = slope

equation : y = 10 - 0.5x for 0 <=  x <= 20

Answer:

  (4.4, 4.4)

Step-by-step explanation:

The point S can be found as the weighted average of the end points. The relative weights are the reverse of the distances to the end points:

  RS : ST = 1 : 4

  S = (4R +1T)/5

  S = (4(2, 2) +(14, 14))/5 = (22, 22)/5

  S = (4.4, 4.4)

Answer:

sin(B) = cos(90 - B).

Step-by-step explanation:

To answer this question, you must understand SOH CAH TOA.

SOH = Sine; Opposite divided by Hypotenuse

CAH = Cosine; Adjacent divided by Hypotenuse

TOA = Tangent; Opposite divided by Adjacent

I roughly drew a triangle for reference. Let's say we have a 3-4-5 triangle.

As you can see, sin(b) does not equal sin(a). To get the sine of an angle, you would do opposite over hypotenuse. For angle B, that would be 3/5, while for angle A, that would be 4/5.

As stated above, sin(B) is 3/5. Now, if you did cos(90 - B), it would be the same thing as cos(A). This is because the triangle is a right triangle. Since a triangle has 180 degrees, and one angle is a right triangle, the other two angles will add up to be 90 degrees. So, 90 - B = A. cos(A) is the same thing as adjacent over hypotenuse, which is 3/5. So, sin(B) = cos(90 - B) must be true.

Let's just check the others to make sure they are false.

cos(B) = 4/5.

sin(180 - B) is basically the same thing as sin(A + C), which is definitely NOT 4/5.

cos(B) = 4/5, which is NOT the same as A.

So, your answer is sin(B) = cos(90 - B).

Hope this helps!

Answer:

B. 8sqrt(2)

Step-by-step explanation:

The legs of an isosceles right triangle are congruent and measure 45 deg. The right angle measures 90 deg. The ratio of the lengths of the sides of a 45-45-90 deg triangle is 1 : 1 : sqrt(2).

Since the hypotenuse measures 8, then the legs measure 8/sqrt(2)

8/sqrt(2) * sqrt(2)/sqrt(2) = 8sqrt(2)/2 = 4sqrt(2)

Answer: B. 8sqrt(2)

Answer:  a)pentágono 540° = 108×5  

b)heptágono 900°≈128.57 ×7

- c)octágono 1080° = 135 × 8

- d)nonágona 1260 = 140 × 9

Step-by-step explanation:

360 ÷ number of sides  = x  Subtract  x from 180 =y measure of interior∠

Multiply y × number of sides == sum of interior angles

Answer:

y=2x-8

Step-by-step explanation:

Every hour, temperatures INCREASE by two degrees, so 2x.

At the beginning (x=0), the temperature was -8 degrees, so -8.

So temperature as a function of time is y=2x-8

Answer:

y = 2x-8

Step-by-step explanation:

At the beginning = -8 F

Let y be the temperature and x be the no. of hours

So, the equation becomes

=> y = -8 + 2x

Writing it in proper form

=> y = 2x-8

Answer:

57.8 degrees and 122.2 degrees (to one decimal place)

Step-by-step explanation:

Since there are two pairs of angle/side involved, we can use the sine rule.

sin(A)/a = sin(B)/b

where

A = angle x

a = 11cm

B = 38 degrees

b = 8 cm

substitute in the sine rule equation,

sin(A) = sin(x) = sin(38)/8 * 11 = 0.61566 * 11/8 = 0.84653

Now there are two solutions for x where sin(x) = 0.84653, they are supplement angles, namely 57.8367 degrees and 122.1633 degrees.

The reason for the two solutions is because the 8cm side can swing in two positions, one that makes x acute, and the other one obtuse.

Answer:

$261,500

Step-by-step explanation:

What amount should Nash report as its December 31 inventory?

Item                                                             Amount

Goods on hand as per physical count    $208,000

(+) Goods purchased from Swifty             $30,000

Corporation FOB shipping point    

(+) Goods sold to Marigold Corp               $23,500

FOB destination (at cost value)

Ending inventory                                        $261,500

Notes:

1) In case of FOB shipping point, the ownership of goods is transferred to the buyer when the goods are shipped and hence in the case of purchases from Swifty corporation, the goods should be included in the inventory of Nash's Trading Post as the goods are shipped and are in transit.

2) In case of FOB destination, the ownership of goods is transferred to the buyer when the goods reaches to the buyer, hence in the case of sales made to Marigold Corp, the goods are still in transit and the ownership is not transferred to Marigold Corp, hence Nash's Trading Post should included that goods in its inventory.

Answer:

Option B

Step-by-step explanation:

With a scale factor of 1/2, the dilated shape should be smaller because of the scale factor, So in Option B the dilated shape is smaller than the real one.

1) Option A is an enlargement

2) Option B is reduction

3) Option C is equality

Answer:

Hey there!

You can use the ASA postulate, when two angles are congruent, and one side is congruent.

Hope this helps :)

Answer:

[tex](fof^{-1})(x)=x[/tex]

Step-by-step explanation:

Composition of two functions f(x) and g(x) is represented by,

(fog)(x) = f[g(x)]

If a function is,

f(x) = (-6x - 8)² [where x ≤ [tex]-\frac{8}{6}[/tex]]

Another function is the inverse of f(x),

[tex]f^{-1}(x)=-\frac{\sqrt{x}+8}{6}[/tex]

Now composite function of these functions will be,

[tex](fof^{-1})(x)=f[f^{-1}(x)][/tex]

                  = [tex][-6(\frac{\sqrt{x}+8}{6})-8]^{2}[/tex]

                  = [tex][-\sqrt{x}+8-8]^2[/tex]

                  = [tex](-\sqrt{x})^2[/tex]

                  = x

Therefore, [tex](fof^{-1})(x)=x[/tex]

Answer:

e)  (3.77%, 8.70%)

95% confidence interval for the percentage of all medical students who plan to work in a rural community

(3.83% , 8.69%)

95% confidence level for the population proportion who blame oil companies for the recent increase in gasoline prices

(0.406 , 0.454)

Step-by-step explanation:

Step(i):-

Given random sample size 'n' = 369

Sample proportion

                              [tex]p = \frac{x}{n} = \frac{23}{369} = 0.0623[/tex]

95% confidence intervals are determined by

[tex](p^{-} - Z_{0.05} \sqrt{\frac{p(1-p)}{n} } , p^{-} + Z_{0.05} \sqrt{\frac{p(1-p)}{n} })[/tex]

[tex](0.0623 - 1.96 \sqrt{\frac{0.0623(1-0.0623)}{369} } , 0.0623 + 1.96\sqrt{\frac{0.0623(1-0.0623)}{369} })[/tex]

(0.0623 - 0.0246 , 0.0623 + 0.0246)

(0.0383 , 0.0869)

(3.83% , 8.69%)

95% confidence interval for the percentage of all medical students who plan to work in a rural community

(3.83% , 8.69%)

Step(ii):-

Given 43% of those polled blamed of companies the most for the recent increase in gasoline prices

sample proportion 'p' = 0.43

Given Margin of error (M.E) = 0.024

95% confidence intervals are determined by

[tex](p^{-} - Z_{0.05} \sqrt{\frac{p(1-p)}{n} } , p^{-} + Z_{0.05} \sqrt{\frac{p(1-p)}{n} })[/tex]

[tex](0.43 - 0.024 } , 0.43 +0.024 )[/tex]

(0.406 , 0.454)

Final answer:-

95% confidence level for the population proportion who blame oil companies for the recent increase in gasoline prices

(0.406 , 0.454)

Answer:

The trip normally takes 8 minutes

Step-by-step explanation:

The given information states that the away distance the boat traveled = 400 m

The time traveled at the same initial  speed , v₁, by the boat on the way back = 2 minutes

The increase in speed of the boat by Pilar =  10 m/min

The new speed, v₂ = v₁ + 10

The time for the return trip, t₂ = 60 seconds (1 minute) faster than time for the trip, t₁

t₂ = t₁ - 1

Therefore we have;

v₁ × t₁ = v₁×2 + v₂×(t₂-2) = 400

v₁×2 + (v₁ + 10)×(t₂-2) = 400

(v₁ + 10)×t₂ - 20 = 400

But v₁ = 400/t₁ = 400/(t₂ + 1)

Which gives;

(400/(t₂ + 1) + 10)×t₂ - 20 = 400

10×(t₂²+ 36·t₂-2)/(t₂+1) = 400

10·t₂²+ 10·t₂-420 = 0

t₂²+ t₂-42 = 0

(t₂ - 7)(t₂ + 6) = 0

t₂ = 7 minutes or -6 minutes

Given that t₂ is a natural number, we have, t₂ = 7 minutes

Whereby, t₂ = t₁ - 1, we have;

7 =  t₁ - 1

t₁ = 1 + 7 = 8 Minutes

The trip normally takes 8 minutes

Answer:

actually, it is 7

Step-by-step explanation:

the previous guy's explanation was all correct, but the question is asking for the return trip, which is one minute less, so the answer is 7. Hope this helped, also, i go to rsm as well and i got this one correct

Answer:

40 km away.

Step-by-step explanation:

a^2 + b^2 = c^2

In this case, a = 16 * 2 = 32 km, since he travels 16 km per hour for 2 hours.

b = 12 * 2 = 24 km, since she travels 12 km per hour for 2 hours.

32^2 + 24^2 = c^2

1,024 + 576 = c^2

1600 = c^2

c^2 = 1600

c = plus or minus 40

Since distance cannot be negative, they will be 40 km away.

Hope this helps!

The required, after 2 hours, Rachel and Amos will be 40 kilometers apart.

In a right-angled triangle, its sides, such as hypotenuse, and perpendicular, and the base is Pythagorean triplets.

Here,

We can use the Pythagorean theorem to solve this problem. After 2 hours, Rachel will have traveled 24 kilometers (12 km/hour x 2 hours) due east, and Amos will have traveled 32 kilometers (16 km/hour x 2 hours) due north. Let's call the distance between them after 2 hours "d".

Using the Pythagorean theorem, we can write:

d² = (24 km)²+ (32 km)²

Simplifying this expression:

d² = 576 km² + 1024 km²

d² = 1600 km²

Taking the square root of both sides,

d = 40 km

Therefore, after 2 hours, Rachel and Amos will be 40 kilometers apart.

Learn more about Pythagorean triplets here:

brainly.com/question/22160915

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Answer:

$912

Step-by-step explanation:

First, find the tax.

Multiply the tax rate by the price.

tax rate * price

The tax rate is 14% and the price is $800.

14% * 800

Convert 14% to a decimal. Divide 14 by 100 or move the decimal places 2 spaces to the left.

14/100=0.14

14.0–> 1.4 —> 0.14

0.14 * 800

Multiply

112

The tax is $112.

Now find the total bill.

Add the tax and the price.

tax + price

The tax is $112 and the price is $800.

$112 + $800

Add

$912

The final bill is $912.