In another right angle triangle the hypotenuse is 53, and the one of the side lengths is 28. Please find the missing side length.

Answer:

- 4

Step-by-step explanation:

h(x) = sin x

f(x) = | 3x - 4 |

g(x) = 2x² - 6

h( [tex]\frac{\pi }{2}[/tex] ) = sin ( [tex]\frac{\pi }{2}[/tex] ) = 1

f ( 1 ) = | 3 × 1 - 4 | = 1

g ( 1 ) = 2( 1² ) - 6 = - 4

g ( f ( h ( [tex]\frac{\pi }{2}[/tex] ) ) ) = - 4

A. t(x)=450-0.06x

hope this helps

Answer:

R= 1203 P= 1478

Step-by-step explanation:

2681- 275= 2406/2 = 1203+ 275= 1478

Answer:

Step-by-step explanation:

angle 4=angle 6(being alternate interior angle)

65 degree=angle 6

Answer:

x = 19

Step-by-step explanation:

Since the angles are vertical, that means these angles are equal to each other:

7x + 34 = 10x - 23

7x - 10x = -23 - 34

-3x = -57

x = 19

Answer:

Step-by-step explanation:

7x+34=10x-23 (being vertically opposite angles)

34+23=10x-7x

57=3x

57/3=x

19=x

Answer:

4-2 = 2

2x5+9 = 19

2^19 = 2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2 = 524288

Answer:

29

Step-by-step explanation:

Use PEMDAS

P- Parenthesis

E- Exponents

M- Multiply

D- Divide

A- Add

S- Subtract

(4-2)^2×5+9 first you do parenthesis which is (4-2)=2

(2)^2×5+9 next the exponents (2)^2=4

4×5+9 now the multiplication, 4×5=20

20+9 And now finish it off with the addition

So the answer ends up being 29.

Answer:

8m ×3.5m

Step-by-step explanation:

Area of rectangle= length ×width

Let the length and width of the rectangle be L and W meters respectively.

Area of rectangle= LW

LW= 28 -----(1)

L= 2W +1 -----(2)

Subst. (2) into (1):

(2W +1)(W)= 28

Expand:

2W² +W= 28

-28 on both sides:

2W² +W -28= 0

Factorise:

(W +4)(2W -7)= 0

W +4=0 or 2W -7=0

W= -4 (reject) or W= 3.5

Substitute W= 3.5 into (2):

L= 2(3.5) +1

L= 7 +1

L= 8

∴ The dimensions of the rectangle is 8m ×3.5m.

it would be photosynthesis because of the flowers

Answer:

0.75 could be a 25% discount. 1.06 could be a sales tax.

Step-by-step explanation:

If  p  is the original price, then  1.06p  could be the amount after a 6% tax is include.  Then multiplying by  0.75  could indicate a 25% discount (if you don't pay 25% = 0.25, then you do pay 75% = 0.75).

In case you're wondering about discounting first then charging tax, the result is the same because the multiplication can be done in either order.

0.75(1.06p) = 1.06(0.75p)

The answer is ,The polygon has 3 sides

Answer:

The null hypothesis is [tex]H_0: p = 0.51[/tex].

The alternate hypothesis is [tex]H_1: p \neq 0.51[/tex].

The p-value of the test is 0.0164 > 0.01, which means that there is not sufficient evidence at the 0.01 level to refute the chief's claim.

Step-by-step explanation:

A local police chief claims that about 51% of all drug related arrests are ever prosecuted

At the null hypothesis, we test if the proportion is of 51%, that is:

[tex]H_0: p = 0.51[/tex]

At the alternate hypothesis, we test if the proportion is different from 51%, that is:

[tex]H_1: p \neq 0.51[/tex]

The test statistic is:

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

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

0.51 is tested at the null hypothesis:

This means that [tex]\mu = 0.51, \sigma = \sqrt{0.51*0.49}[/tex]

A sample of 900 arrests shows that 47% of the arrests were prosecuted.

This means that [tex]n = 900, X = 0.47[/tex]

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

[tex]z = \frac{0.47 - 0.51}{\frac{\sqrt{0.51*0.49}}{\sqrt{900}}}[/tex]

[tex]z = -2.4[/tex]

P-value of the test:

Probability that the sample proportion differs from 0.51 by at least 0.04, which is P(|z|>2.4), which is 2 multiplied by the p-value of Z = -2.4.

Looking at the z-table, the Z = -2.4 has a p-value of 0.0082.

2*0.0082 = 0.0164.

The p-value of the test is 0.0164 > 0.01, which means that there is not sufficient evidence at the 0.01 level to refute the chief's claim.

Answer:

The probability that x equals 19.62 is 0

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

In the normal probability distribution, the probability of an exact value, that is, P(X = x) is 0. Thus, the probability that x equals 19.62 is 0

Answer:

4w

Step-by-step explanation:

1w+3w=4w

Answer:

w+ 3w = 4 w. helpful answer

Answer:

9 and 16

Step-by-step explanation:

let the two numbers are X and Y

X+Y=24

X^2-Y^2=144

solve simultaneously

Answer:

1/4

Step-by-step explanation:

Q=event of pulling a quarter (25 cents)

D=event of pulling a dime (10 cents)

N=event of pulling a nickel (5 cents)

P=event of pulling a penny (1 cent)

Simon needs to pull out the penny last, so that the first three coins add up to $0.40.

We assume the coins are wrapped so it is a random choice.

For the first coin, probability of NOT pulling a penny is 3/4,

similarly, for the second coin, probability of NOT pulling a penny is 2/3,

for the third coin, probability of NOT pulling a penny is 1/2,

For all this to happen, we use the multiplication rule

P(3 coins but no penny) = (3/4*2/3*1/2) = 1/4

Answer:

[tex]f(t) = 15 -1.2t[/tex]

[tex]0 \le t \le 12.5[/tex]

[tex]15 \ge f(t)t \ge 0[/tex]

The length of the candle (in inches) 3.6 hours after it was lit is 0.95 inches

Step-by-step explanation:

Given

[tex]a = 15[/tex] ---- candle length

[tex]r =- 1.2[/tex] --- rate (it is negative because the candle length reduces)

Solving (a): The function, f(t)

This is calculated as:

[tex]f(t) = a + rt[/tex]

So, we have:

[tex]f(t) = 15 + -1.2 * t[/tex]

[tex]f(t) = 15 -1.2t[/tex]

Solving (b): The domain

The domain, in this case, represents time from 0 till the candle burns out.

Set [tex]f(t) = 0[/tex] to calculate the time the candle burns out

[tex]f(t) = 15 -1.2t[/tex]

[tex]0 = 15 - 1.2t[/tex]

Collect like terms.

[tex]1.2t = 15[/tex]

Solve for t

[tex]t = 15/1,2[/tex]

[tex]t = 12.5[/tex]

Hence, the domain is: [tex]0 \le t \le 12.5[/tex]

Solving (c): The range

The domain, in this case, represents the candle height from 15 till the candle burns out (0 inches)

Hence, the range is: [tex]15 \ge f(t)t \ge 0[/tex]

Solving (d): [tex]f(t) = 3.6[/tex]

Recall that:[tex]f(t) = 15 -1.2t[/tex]

Sp, we have

[tex]15 - 1.2t - 3.6[/tex]

Collect like terms

[tex]12t =15 -3.6[/tex]

[tex]12t =11.4[/tex]

Divide by 12

[tex]t =0.95[/tex]

Step-by-step explanation:

in step 2 leon made mistake

OPTION B step 2

[tex] \frac{1}{2} w = 30[/tex]

[tex]w = 30 \times 2[/tex]

[tex]w = 60[/tex]

Answer:

5

Step-by-step explanation:

90 ÷ 18 = 5 days. Hope this helps! :)

Answer:

15

Step-by-step explanation:

15=90/60=1.5 as whole is 15

The sum of the interior angles of a triangle is 180 degrees. Therefore, if we add up all of these angles, they will equal 180.

82 + 55 + x = 180

137 + x = 180

x = 43 degrees

Hope this helps!! :)

Answer:

Step-by-step explanation:

55+82+missing angle=180 degree(sum of interior angle of atriangle is 180 degree)

137+missing angle=180

missing angle=180-137

missing angle=43 degree

therefore ur answer is 43 degree.

Answer:

tan62= 7/25

Step-by-step explanation:

tan = opposite/adjacent

Option A is the correct answer.

We need to find, from the given option which is equivalent to the tangent of 62°.

The ratio of trigonometric function tangent is tanθ=Opposit/Adjacent.

Now, tan62°=24/7.

Therefore, option A is the correct answer.

To learn more about trigonometric ratios visit:

https://brainly.com/question/13724581.

#SPJ2

Step-by-step explanation:

1 mile=5280 feet

0.5 mile=2640 feet.

The fastest that a seahorse can travel is 2,640 feet per hour. The top speed in miles per hour is 0.5 miles per hour.Can be also.

If the answer is correct plz mark me as brainliest.

Answer:

-11

Step-by-step explanation:

(8+3)(-1)   Add 8 + 3

(11)(-1)       Multiply

-11           Final Answer

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\large\textsf{(8 + 3)(-1)}\\\\\large\textsf{(8 + 3) = \bf 11}\\\\\large\textsf{11(-1)}\\\\\large\textsf{= \bf -11}\\\\\boxed{\boxed{\large\textsf{\large\textsf{Answer: \huge \bf -11}}}}\huge\checkmark\\\\\\\\\\\large\text{Good luck on your assignment and enjoy your day!}\\\\\\\\\\\\\\\\\\\\\\\frak{Amphitrite1040:)}[/tex]

Answer:

$3089.4

Step-by-step explanation:

A circle is a locus of a point such that its distance from a point known as the center is always constant.

The area of a circle is given by the formula:

Area = πr²; where r is the radius of the circle.

From the image attached, we can see that the garden is circular with a radius of 5.5 yard. Hence:

Amount of mulch needed to cover garden = area of garden = πr² = π(5.5)²  = 95 yd²

Since mulch cost $32.52 per square yard, hence:

Cost of mulch needed = $32.52 per yd² * 95 yd² = $3089.4

Answer:a. 0.13% b. 2.28%

Step-by-step explanation:

Let x  denotes the useful life of batteries.

Given: [tex]\mu=56[/tex] months, [tex]\sigma=6[/tex]

Since X is normally distributed.

The probability that batteries with a useful life of less than 38 months

[tex]P(X<38)=P(\frac{X-\mu}{\sigma}<\frac{38-56}{6})\\\\=P(Z<-3) \ \ \ [Z=\frac{X-\mu}{\sigma}]\\\\=1-P(Z<3) \\\\=1- 0.9987\\\\=0.0013[/tex]

The percent of batteries with a useful life of less than 38 months =0.13%

The probability that batteries will last longer than 68 months

[tex]P(X>68)=P(\frac{X-\mu}{\sigma}>\frac{68-56}{6})\\\\=P(Z>2) \ \ \ [Z=\frac{X-\mu}{\sigma}]\\\\=1-P(Z<2)\\\\=1-0.9772=0.0228[/tex]

The percent of batteries that will last longer than 68 months =2.28%

Answer:

No

Step-by-step explanation:

Due to the absence of the squared coefficient, we can automatically strike this as not a quadratic.

And, judging by the terms of the function, this is a trinomial.

Answer:

the first one , one below it and the one beside the one below it

Step-by-step explanation:

Answer:

sorry I don't Know

Answer:

Step-by-step explanation:

The Bible uses this same value for pi. Just an irrelevant fact to add to your list of such facts.

pi is about 3

r = 3

C = 2 pi * r

C = 2 * 3 * 3

C = 18

Answer:

The circumference of circle is 18.

Step-by-step explanation:

Given :-

To Find :-

Formula Used :-

Where,

r, is the radius of circle.

Solution :-

Using Formula

Circumference of circle = 2 π r

substitute the values

Circumference of circle = 2 × 3 × 3

multiply the values

Circumference of circle = 18

Hence, the circumference of circle is 18.