A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is 70% salt and Solution B is 95% salt. She wants to obtain 50 ounces of a mixture that is 80% salt. How many ounces of each solution should she use?

Answer:

In the triangle ABC,  A is the right angle;  the side "a", opposite to the angle A, is the hypotenuse and side "b" is the leg.

√ (√2)²-1² = √2-1= √1= 1

according to the Pythagorean theorem.

It means that you have the right angled triangle with congruent legs; thus the triangle is isosceles.

Hence, the angles at the base (at the hypotenuse) are congruent and each is equal to  180°-90°/2 = 45°

Answer.  The measure of the angle B is 45°.

Step-by-step explanation:

The required value of the angle B is obtained as 45°.

The trigonometric ratios are defined for a right angled triangle.

The example of these ratios are sin, cos, tan, cosec, sec and cot.

The trigonometric ratios are useful in determining the heights and distances of the large objects.

The given problem can be shown in the form of diagram as below,

The measure of given sides and angle of the triangle are as below,

∠A = 90°, a = BC = √2 and b = AC = 1.

Use the trigonometric ratio to obtain,

Sin∠B = BC/AC

⇒ Sin∠B = 1/√2

⇒ ∠B = 45°

Hence, the measure of angle B is given as 45°.

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Answer:

You should first find the side length of each square, and then use the Pythagorean theorem to find x.

Step-by-step explanation:

Answer:

340 ? maybe

Step-by-step explanation:

i rounded 163 down to 160 and i rounded 176 up to 180.

then, i added it up to be around 340, if that is the right answer. hope this helps:), sorry if it doesnt:(

Answer:

163+176=339 SO rounded the answer would be 340

Step-by-step explanation:

Answer: A

Step-by-step explanation: A is the statistical question since it complies many test scores together

Answer:

they are both 12

Step-by-step explanation:

5+5+12+12=34

Answer:

5 hours

Step-by-step explanation:

so you do 8 times 4

which gives you 32

72 - 32

40 divided by 8

5

The answers are

1). warmer

2). end  behavior

3). higher

When Gianna initially placed the two cups in the refrigerators, the liquid placed in refrigerator A was warmer than the liquid placed in refrigerator B.

The end  behavior of the two functions implies that refrigerator A is set to a

higher temperature than refrigerator B.

I hope this really helps

Answer: a

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 given angles and equate to 180, thus

x + 5 + x + 7x - 5 = 180, that is

9x = 180 ( divide both sides by 9 )

x = 20 → D

Answer:

28 units²

Step-by-step explanation:

[tex]\frac{8}{3}[/tex]×[tex]\frac{21}{2}[/tex]= 28

Answer:

Next year Aimee will be 13 years old

Step-by-step explanation:

Let's call Aimee's age A, and Jamie's age J.

From the information given, we have that:

A = (1/3) * J

A + 12 = (1/2) * (J + 12)

Using the value of A from the first equation in the second one, we have:

J/3 + 12 = J/2 + 6

J/2 - J/3 = 6

J/6 = 6

J = 36

Now we can find A:

A = (1/3) * 36 = 12

So next year Aimee will be 13 years old

Answer:

Aimee will be 13 years old next year/

Step-by-step explanation:

A stands for Aimee, and J stands for Jamie.

A = (1/3) * J

A + 12 = (1/2) * (J + 12)

Using the value of A from the first equation in the second one, we have:

J/3 + 12 = J/2 + 6

J/2 - J/3 = 6

J/6 = 6

J = 36

Now we can find A:

A = (1/3) * 36 = 12

In conclusion, Aimee will be 13 years old next year.

Answer:

Building 37 Scuba diver -37 Basement -13.7 Oliver's money -25 Erica's jump 2.5 Positive values are assigned to height above ground. Negative values are assigned to distance below the water surface or below ground, and to money that is owed.

Step-by-step explanation:

Match Term Definition

c

A building is 35 feet tall.

a

The scuba diver was 35 feet below sea level.

b

The basement is 7.6 feet below ground.  

d

Oliver owes his sister $23.

e

Erica jumped 2.3 feet above ground.

Idk if its right i hope it is and i hope this helped bye hope u have a wonderful day today you wonderful person.

As per the given statement matching of the term definition are as follow,

A. Building is [tex]35[/tex] feet tall → D. [tex]35[/tex]

B. The scuba diver was [tex]35[/tex] feet below sea level. → E. [tex]-35[/tex]

C. The basement is [tex]7.6[/tex] feet below ground. → B. [tex]-7.6[/tex]

D. Oliver owes his sister [tex]\$23[/tex].→ C. [tex]-23[/tex]

E. Erica jumped [tex]2.3[/tex] feet above ground.→ A .[tex]2.3[/tex]

" Statement is defined as sentence which represents the declaration of true or false but not both."

According to the question,

As per given statement we have,

A. Building is [tex]35[/tex] feet tall → D. [tex]35[/tex]

Height is always positive value.

B. The scuba diver was [tex]35[/tex] feet below sea level. → E. [tex]-35[/tex]

Below the sea level , therefore negative value.

C. The basement is [tex]7.6[/tex] feet below ground. → B. [tex]-7.6[/tex]

Below the ground, therefore negative value.

D.  Oliver owes his sister [tex]\$23[/tex].→ C. [tex]-23[/tex]

Owes amount represents negative value.

E. Erica jumped [tex]2.3[/tex] feet above ground.→ A .[tex]2.3[/tex]

Above the ground , therefore positive value.

Hence, as per the given statement matching of the term definition are as follow,

A. Building is [tex]35[/tex] feet tall → D. [tex]35[/tex]

B. The scuba diver was [tex]35[/tex] feet below sea level. → E. [tex]-35[/tex]

C. The basement is [tex]7.6[/tex] feet below ground. → B. [tex]-7.6[/tex]

D. Oliver owes his sister [tex]\$23[/tex].→ C. [tex]-23[/tex]

E. Erica jumped [tex]2.3[/tex] feet above ground.→ A .[tex]2.3[/tex]

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Answer:

y = -2/5 x + 4.8

Step-by-step explanation:

1. 6-4/3-8 = 2/-5, m= 2/-5, m = slope

2. y = mx + b, 6 = 2/-5(3) + b

3. 6 = 1.2 + b

4. 4.8 = b

5. y = -2/5 x + 4.8

Answer:

12

Step-by-step explanation:

Answer:

5.3

Step-by-step explanation:

do the math

Answer:

55 degrees

Step-by-step explanation:

Answer:20 degrees

Step-by-step explanation:because all around is 360 you take the 35 times 2 to get 70 and the 125 times 2 to get 250. Add 70 and 250 to get 320. Then subtract 320 from 360 to get 40. 40 is for both missing answers so divide the 40 by 2 to get 20

Answer:

circumference

Step-by-step explanation:

In geometry, the circumference is the perimeter of a circle or ellipse. That is, the circumference would be the arc length of the circle, as if it were opened up and straightened out to a line segment. More generally, the perimeter is the curve length around any closed figure.

Formula

C = 2 \pi r

Answer:

1/258 *(t^28)

= t^28 / 4^4

= t^28 4^-4

= (t^-7 * 4)^-4

= (4t^-7)^-4

The simplified form of an expression   [tex]\frac{1}{256} * t^{28}[/tex] will be [tex](4 t^{-7})^{-4}[/tex] which is given in option number [tex](D)[/tex] i.e. ([tex]4\ t[/tex] Superscript negative [tex]7[/tex] Baseline) Superscript negative [tex]4[/tex] .

Simplified form a rational expression is considered simplified if the numerator and denominator have no factors in common.

We have,

 [tex]\frac{1}{256} * t^{28}[/tex]

Now to simplify it,

Convert [tex]256[/tex] into a exponent form with a base.

i.e.

[tex]\frac{1}{4^4} * t^{28}[/tex]

Now,

Using the exponent rule;

[tex]\frac{1}{a^n}= a^{(-n)}[/tex]

So,

[tex]4^{-4}\ *\ t^{28}[/tex]

Now, simplify it more by taking common power of [tex]4[/tex] and [tex]t[/tex] ,

[tex](4\ *\ t^{-7})^{-4}[/tex]

⇒ [tex](4 t^{-7})^{-4}[/tex]

So, this is the simplified form of given expression which is given in option number [tex](D).[/tex]

Hence, we can say that the simplified form of an expression   [tex]\frac{1}{256} * t^{28}[/tex] will be [tex](4 t^{-7})^{-4}[/tex] which is given in option number [tex](D)[/tex] i.e. ([tex]4\ t[/tex] Superscript negative [tex]7[/tex] Baseline) Superscript negative [tex]4[/tex] .

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Answer:

(-1, 0.5)

Step-by-step explanation:

desmos is an awesome tool to see what the graphs look like

(sorry if this isn't the answer you're looking for)

Answer:

(-1, 0.5)

Step-by-step explanation:

i hope this helpssssss

Answer:

x = ±5sqrt(2)

Step-by-step explanation:

x^2 = 50

Take the square root of each side

sqrt(x^2) = ±sqrt(50)

x =  ±sqrt(25*2)

We know that sqrt(ab) = sqrt(a) sqrt(b)

x = ±sqrt(25)*sqrt(2)

x = ±5sqrt(2)

Answer:

The volume of a cylinder:

[tex]V \approx 150.796[/tex] [tex]ft^3[/tex]

Step-by-step explanation:

To find the volume of a cylinder, you need the this formula:

[tex]V = \pi r^2h[/tex]

-Use the given height and radius for the formula:

[tex]V = \pi 4^2 3[/tex]

-Then, solve the formula:

[tex]V = \pi \times 4^2 \times 3[/tex]

[tex]V = \pi \times 16 \times 3[/tex]

[tex]V = \pi \times 48[/tex]

[tex]V = 48\pi \approx 150.796[/tex]

So, the volume of a cylinder is approximately [tex]150.796[/tex] [tex]ft^3[/tex] .

Remember how the tangent function is defined as

[tex]\frac{sinx}{cosx}[/tex]

Now where exactly are the vertical assymptotes? Well, where cosx = 0, because  anything over 0 is undefined, and where a value is undefined, you are required to draw  a vertical assymptote.  

Now where exactly are the x interecepts? Well, where sinx = 0, because remember, an x-intercept  is where y = 0, or where it crosses the x-axis, meaning where the tangent function is equal to 0.

So the x-intercepts are at where sinx = 0.

Graph of the tangent will have vertical asymptotes when cosine function is 0 and has x intercept when sine function is 0.

Tangent function of an angle in a right angled triangle is defined as the ratio of the opposite side to the adjacent side.

Tangent function can be defined as,

f(x) = tan (x) = [tex]\frac{sin(x)}{cos (x)}[/tex]

Vertical asymptote of a function is the line x = m, where the graph of the function will move to infinity when x approaches m.

Here the function is tan (x).

tan (x) → ∞, when [tex]\frac{sin(x)}{cos (x)}[/tex] → ∞

[tex]\frac{sin(x)}{cos (x)}[/tex] → ∞, when cos (x) = 0, then x = ±[tex]\frac{\pi }{2}[/tex], ±[tex]\frac{3\pi }{2}[/tex], .......

Vertical asymptotes will be line through x = ±[tex]\frac{\pi }{2}[/tex], ±[tex]\frac{3\pi }{2}[/tex], ±[tex]\frac{5\pi }{2}[/tex], .....

x intercept is the point, where the y value equals 0.

That is, tan (x) = 0, at the point of x intercept.

[tex]\frac{sin(x)}{cos (x)}[/tex] = 0

⇒ sin (x) = 0

⇒ x = 0, π, 2π, .....

So tan(x) will have the x intercepts at x = 0, π, 2π, .....

Hence the vertical asymptotes and x intercepts of tan function can be found using sine and cosine.

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Answer:

9112.46

Step-by-step explanation:

Answer:

5320

Step-by-step explanation:

Answer:

D or C

Step-by-step explanation:

Answer:

The Answer is D 130 degrees

Step-by-step explanation:

The answer is 130 degrees

Since Line SP And line RQ are equal Angle R is 50

Angles P and Q have to be the same so it equals 130

Answer:

Step-by-step explanation:2500 amonth He pays $400 per month on a car which means his budget equals 16percent

Answer:

D) The answer cannot be determined

Answer:

D. the answer cannot be determined​

Answer:

898.75 is your answer.

Step-by-step explanation:

Please mark brainliest and 5 stars!

Answer:

His original speed was 60 mph.

Step-by-step explanation:

The average speed formula is shown below:

speed = distance / time

For the first leg of the trip Mr. Blue drove at a speed of "x" mph, for a distance of 105 miles, therefore the time that took to complete the trip is:

time 1 = distance / speed

time 1 = 105 / x h

On the second leg of the trip Mr. Blue drove faster at a speed of "x + 10" mph, so the time it took him to complete the trip was 15 minutes less, therfore:

time 2 = time1 - (15/60) = (105/x) - 0.25 = (105 - 0.25*x)/x h

Applyint the time and speed from the second leg to the average speed formula we have:

x + 10 = {105/[(105 - 0.25*x)/x]}

x + 10 = 105*x/(105 - 0.25*x)

(x + 10)*(105 - 0.25*x) = 105*x

105*x + 1050 -0.25*x² - 2.5*x = 105*x

-0.25*x² -2.5*x + 1050 = 0 /(-0.25)

x² + 10*x - 4200 = 0

x1 = [-(10) + sqrt((10)² - 4*(1)*(-4200))]/2 = 60

x2 = [-(10) - sqrt((10)² - 4*(1)*(-4200))]/2 = -70

Since his speed couldn't be negative the only possible value was 60 mph.

Answer:

60 mph

Step-by-step explanation:

Answer:

34

opposite interior angle

Answer:

a is the answer it is really easy but if it is not right tell me.