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4 years ago

Find the value of x to the nearest tenth

Mathematics

2 answers:

mr Goodwill [35]4 years ago

5 0

Answer:

The opposite side x is 7

Step-by-step explanation:

Step one

From the given expression in the picture

We can estimate x by applying the

SOH CAH TOA rule on the triangle

Since we have one side and one angle given

step two

From the given picture we have

We have θ and adjacent side given

Hence we need to apply

tan θ= opposite/adjacent =

Tan 35°=x/10

Step three

From 4 figure table or calculator

tan 35° is 0.7

0.7=x/10

x=0.7*10

x= 7

uysha [10]4 years ago

4 0

Check the picture below.

make sure your calculator is in Degree mode.

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1) write a system on equations with the solution (2, -3). Work the problem out using the substitution method

solmaris [256]

The system of the equations that have the solution of (2, -3) are given below.

3x + 2y = 0 and 3y = 2x - 13

<h3>What is the linear system?</h3>

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.

Write a system of equations with the solution (2, -3).

From a single point, an infinite number of lines pass through this point.

Let one line is passing through the origin. Then the equation of the line will be

$\rm y = \dfrac{-3}{2} (x)\\\\y = -1.5x$

And the other line is perpendicular to the line which is passing through the origin and a point (2, -3).

$\rm y = \dfrac{2}{3} x + c$

Then this line also passes through a point (2, -3). Then the value of c will be

$\rm -3 = \dfrac{2}{3} \times 2 + c\\\\c \ \ = -13$

Then the equation of the line will be

3y = 2x -13

More about the linear system link is given below.

brainly.com/question/20379472

#SPJ4

8 0

2 years ago

Use proportional reasoning to solve for the missing value in each of the following scenarios. Enter a numerical answer only.A bu

yuradex [85]

Q1. A business jet burns 300 gallons of gasoline per hour. How many gallons of gasoline will the jet burn in a three hour flight?

Let the number of gallons required in 3 hours be = x

$\frac{x}{3}=\frac{300}{1}$

$x=900$ gallons.

Answer: The business jet burns 900 gallons of gasoline in a three hour flight.

Q2. On average, one gallon of gasoline weights approximately six pounds. How many pounds does fifty gallons of gasoline weigh?

Let the weight in pounds of 50 gallons be = x

$\frac{1}{6}=\frac{50}{x}$

$x=300$ pounds

Answer: Fifty gallons of gasoline weighs 300 pounds.

Q3. For every one yard, there are thirty-six inches. Convert 2,124 inches to an equivalent number of yards.

Let the number of yards be = x

$\frac{1}{36}=\frac{x}{2124}$

$36x=2124$

$x=\frac{2124}{36}=59$ yards

Answer: 2,124 inches = 59 yards

Q4. A person who weighs 240 pounds burns 180 calories per mile of running. If a person burns thirty-six calories by running one mile, how much does the person weigh?

Let the weight of the person be = x

$\frac{240}{180}=\frac{x}{36}$

$180x=240\times36$

$180x=8640$

$x=48$ pounds

Answer: A person who weighs 48 pounds, burns thirty-six calories while running one mile.

Q5. A rice casserole recipe serves four people and requires two tablespoons of butter. How many people will the rice casserole serve if the recipe is scaled to require six tablespoons of butter?

Let the number of people who can be served be = x

$\frac{4}{2}=\frac{x}{6}$

$2x=24$

$x=12$

Answer: A rice casserole that requires six tablespoons of butter serves 12 people.

5 0

3 years ago

4768 x 1551<br> divided by 10.2

balandron [24]

4768 x 1551 is 7395168
7395168 divided by 10.2 is 725016.5 (rounded to the nearest tenths)

3 0

4 years ago

Read 2 more answers

Write as an equation: 1/3 of a shipment of books weights 28 pounds.

FromTheMoon [43]

Answer:

Option D

Step-by-step explanation:

A third of a shipment of books is 28 pounds. <u>Assuming that 'f' will be the total weight of the entire shipment,</u> we would divide 'f' by 3 to get 28.

The answer should be D.

3 0

3 years ago

BRAINLIESTTT ASAP! :)

serious [3.7K]

Ok so basically I dunno all the corr. coefict stuff, but...
in 10 sec it went for 4 to 8, that's doubled
then from 8 to 12 is, +4, 4×3

A. Just during these two intervals we have, y/x: 4/10, then 8/20, then 12/30
0.4, 0.4, 0.4, but then it goes 15/30 = 0.5
so it's not a perfect 100% (1.00) correlation, but it would be very close [I'd choose b) 0.99]

B. from 10-30mins, it went from 4 to 8 to 12
m = change in y ÷ change in x
m = (12-4)/(30-10) = 8/20 = 0.40

C. means that the rate there is 0.40 miles per min. steady, which is 0.40 miles/min × 60min/hr = 24mi/hr steadily without increase or decrease, but a slight decrease from 30-40
RARELY say Causation, Ehr on the side of caution... correlation when in doubt

6 0

3 years ago