Donna wants to draw a right triangle. She wants the hypotenuse to be 1.5 inches long and one of the legs to be 1.2 inches long. Enter the length that she must use for the second leg to form a right triangle.

Answer:

10 ml of 10%

30 ml of 50%

Step-by-step explanation:

x = amount of 10%

40 - x = amount of 50%

-------------------------------------

10x + 50(40 - x) = 40(40)

10x + 2000 - 50x = 1600

-40x + 2000 = 1600

-40x = -400

x = 10 ml of 10%

40 - x = 30 ml of 50%

Answer:

1. The radius of a circle is  5 m

Option B

2. The area of circle is

Option A  

3. The area of a triangle is

Option C

4. To compute for the area of the shaded region we  

B. subtract both areas

5. What is the area of the shaded region?

Option A

Answer:

[tex]\frac{7}{6}[/tex]

Step-by-step explanation:

[tex]\frac{5}{12} + \frac{9}{12} = ?[/tex]

When adding fractions, the denominators must be the same. In this case, they are both 12, so we can just add the numerators.

5 + 9 = 14

We are left with:

[tex]\frac{14}{12}[/tex]

14 and 12 are both even numbers and can be simplified by dividing by 2.

14 ÷ 2 = 7

12 ÷ 2 = 6

[tex]\frac{14}{12}[/tex] simplifies to [tex]\frac{7}{6}[/tex]

This is your answer.

Hope this helps!

5a) The total cost of buying the car, priced at $32,000 with the harmonized sales tax (HST) of 13%, is $36,160.

5b) Through the lease, the customer saves $14,760.

5c) The lease options for the lessee after returning the car include:

6a) The after-tax cost of the Honda Civic is $32,199.35.

6b) The value of the vehicle that needs to be financed is $26,199.35.

6c) The monthly payment will be $567.26 for 4 years.

6d) After four years, the total amount paid for the vehicle is $33,228.48.

A lease is a financing option for the use of capital assets by which the lessee utilizes an asset for a stated period while making periodic payments to the lessor.

A car purchase can also be financed through loans, like home mortgages.

Value of the car = $32,000

Harmonized Sales Tax (HST) = 13%

Cost of the car with HST = $36,160 ($32,000 x 1.13)

Down payment = $1,000

Financing part = $35,160 ($36,160 - $1,000)

Installment payments = 48

Periodic payments = $425

Total lease cost = $21,400 ($1,000 + 48 x $425)

Savings (advantages) from leasing = $14,760 ($36,160 - $21,400)

The value of the Honda Civic = $28,495

Harmonized Sales Tax (HST) = 13%

After-tax cost = $32,199.35 ($28,495 x 1.13)

Annual interest rate = 1.9% compounded monthly

Down payment = $6,000

Financing part = $26,199.35 ($32,199.35 -$6,000)

Financing period = 4 years

N (# of periods) = 48 months (4 years x 12)

I/Y (Interest per year) = 1.9%

PV (Present Value) = $26,199.35

FV (Future Value) = $0

P/Y (# of periods per year) = 12

C/Y (# of times interest compound per year) = 12

Results:

Monthly Payments (PMT) = $567.26

Sum of all periodic payments = $27,228.48

Total Interest $1,029.13

Total amount paid over 4 years = $33,228.48 ($27,228.48 + $6,000)

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The new frequency of short tail mice in HJP is 0.60.

Algebra is a branch of mathematics that deals with symbols or variables and uses arithmetic operations (+, –, ×, ÷) to find the unknown quantities represented by these variables.

Let, initial number of mice in HJP be 'x'

and the number of mice travelling from BioPyc building to HJP be 'ý

So, Total mice in HJP= x+ y

As, [tex]\frac{y}{x+y} = 0.2[/tex]

  y= 0.2x + 0.2 y

   0.8y =0.2 x

    x= 4y

Now, total short tail mice in HJP= 0.7 x + 0.2 y

Thus, New frequency of short tail among mice in HJP

 = [tex]\frac{0.7x + 0.2y}{x+y}[/tex]

Put x= 4y in above equation we get,

= [tex]\frac{0.7 * 4y+ 0.2y}{4y+y}[/tex]

= [tex]\frac{3y}{5y}[/tex]

= 0.60

Hence, the new frequency of short tail mice in HJP is 0.60.  

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Answer:

5/3 is correct

Step-by-step explanation:

The value of x is 10 yards. The given shape is a trapezoid.

What are trigonometry ratios?

Trigonometric ratios are based on the value of the ratio of sides of a right-angled triangle and contain the values of all trigonometric functions. The trigonometric ratios of a given acute angle are the ratios of the sides of a right-angled triangle with respect to that angle.

Draw a line parallel to the base.

Name the corner point of the shape.

Assume that ∠ADG = θ.

Consider △BDF:

BD = 6 + x

DF = 8 + 4.8 = 12.8 yrds.

The cosine of an angle is the ratio of the base to the hypotenuse of the right-angle triangle.

cos θ = DF/BD

cos θ = 12.8 /(6+x)  .....(i)

Consider △CDE:

cos θ = DE/CD

cos θ = 8/x  .....(ii)

Now equate equations (i) and (ii):

12.8 /(6+x) = 8/x

Cross multiply:

12.8 × x = 8(6+x)

12.8x = 48 + 8x

12.8x - 8x = 48

4.8x = 48

Divide both sides by 4.8:

x = 48/4.8

x = 10

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The value of x is 10 yards. The given shape is a trapezoid.

Trigonometric ratios are based on the value of the ratio of sides of a right-angled triangle and contain the values of all trigonometric functions. The trigonometric ratios of a given acute angle are the ratios of the sides of a right-angled triangle with respect to that angle.

Draw a line parallel to the base.

Name the corner point of the shape.

Assume that ∠ADG = θ.

Consider △BDF:

BD = 6 + x

DF = 8 + 4.8 = 12.8 yrds.

The cosine of an angle is the ratio of the base to the hypotenuse of the right-angle triangle.

cos θ = DF/BD

cos θ = 12.8 /(6+x)  .....(i)

Consider △CDE:

cos θ = DE/CD

cos θ = 8/x  .....(ii)

Now equate equations (i) and (ii):

12.8 /(6+x) = 8/x

Cross multiply:

12.8 × x = 8(6+x)

12.8x = 48 + 8x

12.8x - 8x = 48

4.8x = 48

Divide both sides by 4.8:

x = 48/4.8

x = 10

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Answer:

[tex]3a + 1 - a = 9 \\ 2a = 8 \\ a = 4 \\ 5a + 2 = \\ 5(4) + 2 = 22[/tex]

first find the value of a, which is 4

then substitute a with 4

The angle measure of ∠F is approximately 66.9º.

What is an angle?

To find ∠F, we can use the Law of Cosines:

c² = a² + b² - 2ab cos(C)

Where c is the side opposite to the angle we want to find (in this case, side EF), a and b are the other two sides, and C is the angle opposite to side c (in this case, ∠F).

First, we need to find the length of side EF:

EF² = DE² + DF² - 2DE * DF cos(∠D)

EF² = (9.8)² + (5.6)² - 2(9.8)(5.6)cos(149º)

EF² ≈ 95.415

EF ≈ 9.769

Now, we can use the Law of Cosines again to find ∠F:

EF² = DE² + DF² - 2DE * DF cos(∠F)

cos(∠F) = (DE² + DF² - EF²) / 2DE * DF

cos(∠F) = ((9.8)² + (5.6)² - (9.769)²) / (2 * 9.8 * 5.6)

cos(∠F) ≈ 0.4035

∠F ≈ [tex]cos^{-1(0.4035)}[/tex]

∠F ≈ 66.9º (rounded to the nearest 10th)

Therefore, the measure of ∠F is approximately 66.9º.

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Complete question is: In ADEF, e = 9.8 inches, f = 5.6 inches and ZD=149º, the measure of ∠F is approximately 66.9º.

Answer:

- 420° =  -7/3 π ≈ - 2.333 π

Step-by-step explanation:

- 420° =  -7/3 π ≈ - 2.333 π

Coterminal angle in [0, 360°) range:

300°, located in the fourth quadrant.

Positive coterminal angles: 300°, 660°, 1020°, 1380°, 1740°...

Negative coterminal angles: -60°, -420°, -780°, -1140°

I hope this helps!1!!

-420° = -360° - 80° = -80°

-80° = 360° - 80° = 280°

Co terminal angle = 280° and -80°

The closest to the number of yards of ribbon Mario had altogether will be 11 yards

A fraction is a part of the whole number, and a way to split up a number into equal parts. Or, A number that is expressed as a quotient is called a fraction. It can be written in the form of p: q, which is equivalent to p / q.

Given that;

Mario had 8 1/5 yards of ribbon for a project.

And, Sue gave him 2 3/4 more yards of ribbon.

Since Mario had 8 1/5 yards of ribbon for a project. And, Sue gave him 2 3/4 more yards of ribbon.

Hence, Total ribbon for the project Mario have = 8 1/5 yards + 2 3/4 yards

= 41/5 + 11/4

= (164 + 55) / 20

= 219 / 20 yards

= 10.95 yards

≈ 11 yards

Thus, the total ribbon for the project Mario has = 11 yards

The complete question is given below;-

Mario had 8 1/5 yards of ribbon for a project. Sue gave him 2 3/4 more yards of ribbon. Which is closest to the number of yards of ribbon Mario had altogether?

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Answer:

4/15

Step-by-step explanation:

find common denominators, which is 15

multiply 2/3 by 5 and and 2/5 by 3

2 x 5 = 10 and

3 x 5 = 15

10/15

2 x 3 = 6 and

5 x 3 = 15

6/15

subtract numerators

10 - 6

 15

= 4/15

Step-by-step explanation:

try this option:

[tex]a) \ log_{15}5+log_{15}3=log_{15}15;\\b) \ log_{1/2}log_{49}7=log_77;\\c) \ log_44=log_22.[/tex]

Teacher: In all your subjects I am giving you D's.

Student: Well I am also going to be giving you D's.

Teacher: What do you mean?

Student: Deeez nuts!

9+5+1+5+4=24 In

this shld be the ans.

if its that simple

Answer: 7t+7

Step-by-step explanation: i know

Well, both 4t and 3t have the same variable so add them together to get 7t, then add 4 and 3 to get 7, so your fill in the blank should be 7t+7

Answer:

True

Step-by-step explanation:

By sampling a larger proportion of Mississippi's population, the percentage of people who wear seatbelts in Mississippi surveys would be closer and nearer to the population proportion.

The rule of large numbers states that if we collect samples of increasing size from every population (here, Mississippi vs. Washington WA state), the sampling distribution's mean, px, continues to get closer and nearer to the actual true population proportion (p).

Recall that as n becomes greater, the sample mean obeys a normal distribution because of the Central Limit Theorem. However, as (n) rises, the sampling distribution's standard deviation reduces.

where:

sampling proportion's standard deviation = [tex]\sqrt{\dfrac{p((1-p)}{n}}[/tex]

If n rises, the sample proportion [tex]P_x[/tex] have to get nearer to the population proportion P.

For both counties, the sample size is 1000, but the true population varies. According to the provided statement, the true population of Mississippi (3 million) is less than that of Washington State (7.5 Million). As a result, we can confidently assume that our sampling proportion in Mississippi seems to be much closer to the true actual population than our sampling proportion in Washington state.

Answer:

B) 5x+15y=30

5x-5y=10

Step-by-step explanation:

First, we solve the top equations by addition.  Multiply the first one by -4.

-4x-12y=-24

4x-8y=4

This equals -20y=-20, so y=1.  Now we put that back into either equation and find that x=3.  So the solution set is (3,1)

Plugging those into each of the possible choices, we find that the answer is

B) 5x+15y=30.   5(3)+15(1)=30 15+15=30.   30=30 CHECK

5x-5y=10     5(3)-5(1)=10.  15-5=10.    10=10. CHECK

Answer:

7/8 = 87.5%

Step-by-step explanation:

You have only one of eight (1/8) evenly divided sections that is orange. The rest is not orange (1 - 1/8 = 7/8).

Therefore, spinning once will yield 7/8 odds of not landing on orange, or 0.875 or 87.5%.

The probability of not getting orange is 87.5%. The correct option is C.

Probability is a number that indicates the likelihood of an event occurring. Probability is defined as the ratio of favourable outcomes to all outcomes.

Probability = Number of favourable outcomes / Number of samples

Given that a spinner with repeated colours numbered from 1 to 8 is shown. Sections 1 and 8 are purple. Sections 2 and 3 are yellow. Sections 4, 5, and 6 are blue. Section 7 is orange.

You only have one of eight (1/8) evenly divided orange sections.

The rest is not orange,

P = (1 - 1/8

P =  7/8

P = 87.5%

Therefore, spinning once will yield 7/8 odds of not landing on orange or 0.875 or 87.5%.

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Answer:

13

Step-by-step explanation:

Cuz the factor of y is angle to the 115° is to the Y value

Answer:

B

Step-by-step explanation:

The slope-intercept form of the two straight lines in the graph of the question are;

The slope-intercept form of the equation of a straight line is; y = m·x + c

Where;

m = The slope of the line

c = The y-intercept of the line

The values of the ordered pair of the points on the line are in the form (x, y)

The graph consists of two straight lines, therefore the equations that represent the graphs are found as follows;

Points on the blue line graph are (0, 4), (2, 4), and (4, 4)

The slope of the blue line graph is therefore;

m = (4 - 4)/(2 - 0) = 0

The y-intercept of the blue line graph is; c = 4

The slope-intercept form of the equation representing the blue line graph is therefore;

y = 0 × x + 4

The slope-intercept form of the equation of the blue line graph is; y = 4

Points on the red line graph are; (0, 3), (2, 3), (4, 3)

The sloped of the red line graph is therefore; m = (3 - 3)/(2 - 0) = 0

The y-intercept of the red line graph is; c = 3

The slope-intercept form of the equation of the red line graph is therefore; y = 0 × x + 3

y = 3

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Answer:

I think that the answer is 3495.24in

Answer:

1.6 hours

Step-by-step explanation:

Answer:

[tex] \frac{8}{5}~hours~~or~~1.6~hours} [/tex]

Step-by-step explanation:

[tex] \frac{4}{5}~of~2~hours = [/tex]

[tex] = \frac{4}{5} \times 2~hours [/tex]

[tex]= \frac{4}{5} \times \frac{2}{1}~hours[/tex]

[tex] = \frac{4 \times 2}{5 \times 1}~hours [/tex]

[tex] = \frac{8}{5}~hours [/tex]

[tex] = 1.6~hours [/tex]

The value of the numerical expression 5² + 7 - 3 + 4 will be 33.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The expression is given below.

⇒ 5² + 7 - 3 + 4

Simplify the expression, then we have

⇒ 5² + 7 - 3 + 4

⇒ 25 + 7 - 3 + 4

⇒ 36 - 3

⇒ 33

The value of the numerical expression 5² + 7 - 3 + 4 will be 33.

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Answer:

It is False

Step-by-step explanation:

16>17 is not a true statement.

Answer:

The ratio given cannot be used to find the answer