Consider this expression. When and , the value of the expression is

[tex]\\ \rm\Rrightarrow cos40=\dfrac{Base}{Hypotenuse}[/tex]

[tex]\\ \rm\Rrightarrow cos40=\dfrac{a}{10}[/tex]

[tex]\\ \rm\Rrightarrow 0.766=a/10[/tex]

[tex]\\ \rm\Rrightarrow a=0.766(10)[/tex]

[tex]\\ \rm\Rrightarrow a=76.6[/tex]

Answer:

7.66 (dp)

Step-by-step explanation:

Use the cosine trig ratio:

[tex]\mathsf{\cos(\theta)=\dfrac{A}{H}}[/tex]

where:

Given:

Substituting the given values into the equation:

[tex]\implies \mathsf{\cos(40)=\dfrac{a}{10}}[/tex]

[tex]\implies \mathsf{a=10\cos(40)}[/tex]

[tex]\implies \mathsf{a=7.660444431...}[/tex]

[tex]\implies \mathsf{a=7.66 \ (2 \ dp)}[/tex]

Answer:

[tex]5x^2+9x+3[/tex]

Step-by-step explanation:

We just need to add like terms together

[tex]11x^2-6x^2=5x^2[/tex]

[tex]5x+4x=9x[/tex]

[tex]8-5=3[/tex]

Answer:

Step-by-step explanation:

Formula: Scored Marks/Out of Marks × 100 = result %

( 37 ÷ 50 ) x 100 = 74%

Hope this Helps!!!!

Answer:

the answer is C)13

Step-by-step explanation

50x2=100. 74% of 100 is 74 which leaves 26. 26/2 is 13

The midpoint given illustrates that the length of the segment CG will be C. 15.

It should be noted that in geometry, the midpoint simply means the middle point of a line segment.

In this case, from the diagram given, midpoints F and G are located with segments CG and DF intersecting at H and CH =10.

Therefore, the length of CG will be:

= 10 + (1/2 × 10)

= 10 + 5

= 15

In conclusion, the length of CG is 15.

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Answer:

C.   [tex]\sf \dfrac{7}{4}[/tex]

D.  [tex]\sf 1\dfrac{3}{4}[/tex]

Explanation:

[tex]\hookrightarrow \sf 4\dfrac{1}{4}-2\dfrac{2}{4}[/tex]

[tex]\hookrightarrow \ \sf \dfrac{17}{4}-\dfrac{10}{4}[/tex]

[tex]\hookrightarrow \sf \dfrac{17-10}{4}[/tex]

[tex]\hookrightarrow \ \sf \dfrac{7}{4}[/tex]

[tex]\hookrightarrow \ \sf 1\dfrac{3}{4}[/tex]

[tex]\hookrightarrow 1.75[/tex]

Answer: 7/4 and  1 3/4

Step-by-step explanation:

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(4, 4) = 4. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 4 × 4 = 16. In the following intermediate step, it cannot further simplify the fraction result by canceling.

In other words - seventeen quarters minus ten quarters = seven quarters.

Answer:

True, now give me braniest

Step-by-step explanation:

It is choice (D)

Let's set that unknown number to x.

The first step is the difference of 3 times a number and 15 --> 3x - 15

That is no less than the square of the number  '[tex]\geq[/tex] [tex]x^{2}[/tex]'

Now combine them [tex]3x - 15 \geq x^2[/tex]

Hope that helped!

Answer: A. X = 3

Step-by-step explanation:

Since the line passes through the point (3, -5), this pair of coordinates must satisfy the equation of the line.

Glancing through the answer choices, the only one that works is option A since the X coordinate of 3 satisfies the equation of X = 3.

hope this helps :)

An Unsecured Line of Credit is a variable rate credit product that allows you access to funds as you need them.  As you repay your outstanding balance, the amount of available credit is replenished and made available for future use.  Qualifying is simple.1 You do not need to use your home or other personal assets as collateral.  An Unsecured Line of Credit provides peace of mind because you’ll always have immediate access to funds as needed.

Answer:A-

A line of credit which does not require collateral

Step-by-step explanation:

Step-by-step explanation:

-4x - 20 = -2x

2x = -20

x = -10

y = -2x

y = -2(-10)

y = 20

The geometric series which diverges is shown in the option number c as the absolute value of the common ratio of this series 4.

[tex]\sum_{n=1 }^{\infty} \dfrac{2}{3}(-4)^{n-1}[/tex]

Geometric sequence is the sequence in which the next term is obtained by multiplying the previous term with the same number for the whole series.

It can be given as,

[tex]a+ar+ ar^2+ ar^3+...[/tex]

Here,

is the (a) first term of the sequence, and (r) is the common ratio.

To be a series as geometric series diverges, it should follow,

[tex]|r| > 1[/tex]

First option given as,

3/5+3/10+3/20+3/40+ ...

Here, the common ratio is,

[tex]r=\dfrac{\dfrac{3}{10}}{\dfrac{3}{5}}\\r=\dfrac{1}{2}[/tex]

The common ratio is less than one. Thus option a is not correct.

First option given as,

-10+4-8/4+18/25- ...

Here, the common ratio is,

[tex]r=\dfrac{4}{-10}\\r=\dfrac{-2}{5}[/tex]

For the option number two the common ratio is (-2/5) which is less than 1. This option is also not correct.

In the option number c, the value of common ratio is -4. The absolute value of common ratio is,

[tex]|r|=|-4|\\|r|=4[/tex]

The absolute value of this common ratio is more than one. Thus, this is the correct option.

The geometric series which diverges is shown in the option number c as the absolute value of the common ratio of this series 4.

[tex]\sum_{n=1 }^{\infty} \dfrac{2}{3}(-4)^{n-1}[/tex]

Learn more about the geometric sequence here;

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Answer:

its C

Step-by-step explanation:

Using the z-distribution, as we have the standard deviation for the population, it is found that the correct decision is given by:

Reject the null hypothesis. There is enough evidence to oppose the company's claim.

At the null hypothesis, it is tested if the mean is of 2.7 years, that is:

[tex]H_0: \mu = 2.7[/tex]

At the alternative hypothesis, it is tested if the mean is different of 2.7 years, hence:

[tex]H_1: \mu \neq 2.7[/tex]

The test statistic is given by:

[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

The parameters are:

In this problem, the values of the parameters are given by:

[tex]\overline{x} = 3.1, \mu = 2.7, \sigma = 0.85, n = 25[/tex]

Hence, the value of the test statistic is given by:

[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{3.1 - 2.7}{\frac{0.85}{\sqrt{25}}}[/tex]

[tex]z = 2.35[/tex]

Considering a two-tailed test, as we are testing if the mean is different of a value, with a significance level of 0.05, the critical value is of [tex]|z^{\ast}| = 1.96[/tex].

Since the absolute value of the test statistic is greater than the critical value, the correct decision is:

Reject the null hypothesis. There is enough evidence to oppose the company's claim.

More can be learned about the z-distribution at https://brainly.com/question/16313918

Answer:

Reject the null hypothesis. There is enough evidence to oppose the company's claim.

Step-by-step explanation:

The test statistic needs to fall within the rejection regions that are above and below the critical z-score associated with a 5% level of significance in order to reject the null hypothesis. Otherwise, we will fail to reject the null hypothesis.

Answer:

If it wants you simplify the answer 6x + 21

Step-by-step explanation:

4x times 2x = 8x. Then 4x times 3 = 12x

Then 8x + 12x = 20x

-7 times 2x = -14x. Then -7 times -3 = 21

20x - 14x = 6x + 21

I hope that helped! :)

Answer:

130.68 mm²

Step-by-step explanation:

given 2 similar figures with ratio of sides = a : b , then

ratio of areas = a² : b²

here ratio of sides = 5 : 11 , then

ratio of areas = 5² : 11² = 25 : 121

let x be the area of Δ YPR , then by proportion

[tex]\frac{25}{27}[/tex] = [tex]\frac{121}{x}[/tex] ( cross- multiply )

25x = 3267 ( divide both sides by 25 )

x = 130.68

area of Δ YPR ≈ 130.68 mm²

Answer:

If you have the hypotenuse, multiply it by sin(θ) to get the length of the side opposite to the angle. Alternatively, multiply the hypotenuse by cos(θ) to get the side adjacent to the angle. If you have the non-hypotenuse side adjacent to the angle, divide it by cos(θ) to get the length of the hypotenuse.

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

total area. 9*2-6=12

unshaded area. 2+2=4

shaded area. 12-4

Answer:

270

Step-by-step explanation:

To solve this, we use the unitary method.

Distance flown in 20 sec = 180

Distance flown in one sec =  [tex]\frac{180}{20}[/tex] = 9

Thus, distance flow in 30 secs = 9 × 30 = 270

I think this is the answer. Hope its correct :)

Have a great day!

Answer:

(1,10)

Step-by-step explanation:

Cause if you move up 3 that's 10 then move east which is to the right so 1 plus 0, which is 1 so (1,10)

Answer:

C.

Step-by-step explanation:

You can get the area of each square by taking 8*6 = 48. There are 2 of them so that would so far equal 96.

To get the triangles, we can subtract 15-8 to get 7, which is the base of 1 triangle. 7*6/2 to get the area of one triangle is 21. Since there are 4 triangles 21*4 = 84

The area of the hexagon is 180ft^2.

If it's asking for one of the trapezoid it is 90ft^2

I hope this helped <3

Answer:

It is n≥6 because it says “if n is atleast 6.”

Step-by-step explanation:

hope this helped

Answer:

This tile is a sqaure

so , The perimeter of the sqaure is 4× side

so 4 × 3 = 12 in.

therefore , 12 in. is the perimeter of this tile

Answer:

12 inches

Explanation:

You have to add up all of the sides that are parallel to each other. So, 3+3+3+3=12, or 3x4=12, 4= the number of sides in a square.

Answer:

12x+2y=-3

Step-by-step explanation:

y=-6x-3/2

-6x-y=3/2

2(-6x-y)=2(3/2)

-12x-2y=6/2

-12x-2y=3

12x+2y=-3

Answer:

m = -1/2, y-intercept = -3, x-intercept = -6,0

Step-by-step explanation:

M is the gradient (or slope) and is always in front of the x coefficient. -1/2 in this case.

To find the y-intercept, we have to know that it is at the point where the graph passes through the y-axis. At this point x = 0. So just substitute 0 for x and solve for y to give -3.

To find the x-intercept, do the opposite. When the graph passes through the x-axis, y = 0. So when y = 0, x = -6

Answer:

[tex]1 + 2 + 2 = 5[/tex]

1÷5×60=12

1÷2×60= 24

1÷2×60=24

12+24+24=60

Step-by-step explanation:

add the ratio

Answer:

1/4th of a second, or .25 seconds

Step-by-step explanation:

graphed it.

The grasshopper is 1 foot off the ground after 0.25 seconds.

A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.

The given function is,

f(t) = -16t² + 8t

This represents the height y (in feet) of a grasshopper jumping straight up from the ground t seconds after the start of the jump.

We have to calculate the time t when f(t) = 1 foot.

-16t² + 8t = 1

-16t² + 8t - 1 = 0

This is a quadratic equation.

Solve using quadratic formula.

Discriminant = [tex]\sqrt{8^2-(4*-16*-1)}[/tex] = 0

t = (-8 ± 0) / (2 × -16) = -8/-32 = 0.25

Hence the time is 0.25 seconds when the grasshopper is at 1 foot.

Hence the grasshopper will be at 1 foot from the ground in 0.25 seconds.

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2.59 * 4.73 = cost of grapes

2.59 * 4.73 = 12.2507

$12.25 for that bag

Answer:

You will pay $65.88 in total

Step-by-step explanation:

Bill amount: $54
Tip: 22% = $54 * 0.22 = $11.88

Sum up: $54 + $11.88 = $65.88

Gary will take to exercise a total of 21 hours in 4 weeks. And the equation will be 5.25x = 21.

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

Gary exercises 1.75 hours on Mondays, Wednesdays, and Saturdays.

So in a week, Gary exercises 5.25 hours.

She will take time to exercise 21 hours will be

Let she will take x week, then the equation will be

5.25x = 21

       x = 4

More about the linear system link is given below.

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