a display order of numbers are called​

Answer:

(-2,2) and (-3,-4)

Step-by-step explanation:

by graphing the line and parabola, you should get this graph

Answer:

90

Step-by-step explanation:

The sum of the angles of a triangle is 180 degrees

x+x+10 +x+50 = 180

3x+60= 180

3x = 180-60

3x = 120

Divide by 3

3x/3 = 120/3

x = 40

The largest angle is

x+50

40+50 = 90

We have to,

find the measure of the largest angle.

Given that,

The angles in a triangle are represented by x, x+10, and x+50.

Let's start to solve,

→ x+ (x+10) + (x+50) = 180°

→ x + x + x = 180° (-50-10)

→ 3x = 180° -60

→ 3x = 120

→ x = 120/3

→ [x = 40°]

Then the value of x + 10,

→ x + 10

→ 40 + 10

→ 50°

Then the value of x + 50,

→ x + 50

→ 40 + 50

→ 90°

The measure of the largest angle is,

→ D. 90 degrees

Thus, option (D) is the correct answer.

=============================================================

Explanation:

Focus entirely on the triangle on the right side. The other parts of the drawing are not necessary. In my opinion, they are distracting filler.

Refer to the diagram below.

We have an unknown adjacent side, let's call it x, that's along the horizontal part of the triangle.

The hypotenuse however is known and it is 19 ft

We use the cosine ratio to tie the two sides together

cos(angle) = adjacent/hypotenuse

cos(75) = x/19

19*cos(75) = x

x = 19*cos(75)

x = 4.9175618569479 which is approximate

x = 4.9

The base of the ladder is roughly 4.9 feet away from the base of the house.

Side note: make sure your calculator is in degree mode.

Answer:

50 ft

Step-by-step explanation:

For this problem we will use the Pythagorean theorem which is: a^2+b^2= c^2

I found the length for both of the legs on this triangle which are: 30 ft (for the side on the far left) and 40ft (for the other leg of the triangle whose hypotenuse is the walkway).

Now that we know the two legs we can use the Pythagorean theorem:

40^2 + 30^2 = 2500

then take the square root of 2500 in order to find the hypotenuse length:

Square root of 2500= 50ft

plz consider marking me as brainliest, it truly helps me!

Answer:

50ft

Step-by-step explanation:

trust me on this answer

Answer:

[tex]\frac{dv}{dt} =7239.168 cm/sec[/tex]

Step-by-step explanation:

From the question we are told that:

Rate [tex]\frac{dh}{dt}=1cm[/tex]

Height [tex]h=12cm[/tex]

Radius [tex]r=4h[/tex]

Generally the equation for Volume of Cone is mathematically given by

[tex]V=\frac{1}{3}\pi r^2h[/tex]

[tex]V=\frac{1}{3}\pi (4h)^2h[/tex]

Differentiating

[tex]\frac{dv}{dt} =\frac{16}{3}\pi3h^2\frac{dh}{dt}[/tex]

[tex]\frac{dv}{dt} =\frac{16}{3}*3.142*3*12^2*1[/tex]

[tex]\frac{dv}{dt} =7239.168 cm/sec[/tex]

9514 1404 393

Answer:

  140°

Step-by-step explanation:

The long arc intercepted by angle c is 360° -80° = 280°. The measure of inscribed angle c is half the measure of the arc it intercepts.

  c = 280°/2 = 140°

Answer:

a) Average age of girls is also 151.

b)  [tex]h_{10}=144cm[/tex]

Step-by-step explanation:

From the question we are told that:

Average height of the boys at age [tex]h_9= 137 cm[/tex]

Average height of the boys at age [tex]h_11= 151 cm[/tex]

a)

Since

The average height of all the children was 151 cm.

This implies that The average height of all children is 151

Therefore

Average age of girls is also 151.

b)

Assuming all factors being equal

Height of 10 year old boy

[tex]h_{10}=\frac{h_9+h_11}{2}[/tex]

[tex]h_{10}=\frac{137+151}{2}[/tex]

[tex]h_{10}=144cm[/tex]

Therefore my Guess is

[tex]h_{10}=144cm[/tex]

9514 1404 393

Answer:

  a.  12 cm

  b.  90°

  c.  60°

Step-by-step explanation:

The relevant relationships are ...

__

a) The perimeter, 48 cm, is the sum of four equal side lengths, so any given side is (48 cm)/4 = 12 cm.

  GH = 12 cm

__

b) Angle EJF is where the diagonals meet. It is a right angle.

  ∠EJF = 90°

__

c) Angle EFJ is the complement of the one marked, so is 30°. Angles EHJ and GHJ are congruent to that, so both are 30°. Angle EHG is the sum of those two congruent 30° angles, so is ...

  ∠EHG = 60°

15,068 mi/hr

Step-by-step explanation:

[tex]22100\:\frac{\text{ft}}{\text{s}}×\frac{1\:\text{mi}}{5280\:\text{ft}}×\frac{60\:\text{s}}{1\:\text{min}}×\frac{60\:\text{min}}{1\:\text{hr}}[/tex]

[tex]=15,068\:\text{mi/hr}[/tex]

The speed of 22100 feet per second will be 15068.18 miles per hour.

Multiplication or division by a numerical factor, selection of the correct number of significant figures, and unit conversion are all steps in a multi-step procedure.

Unit conversion is the expression of the same property in a different unit of measurement. Time, for example, can be expressed in minutes rather than hours, and distance can be converted from miles to kilometres, feet, or any other length measurement.

Given that the speed of the satellite is 22100 feet per second. The speed in miles per hour will be calculated as,

22100 ft /s = ( 22100 x 3600 ) / 5280

22100 ft/s = 79560000 / 5280

22100 ft/s = 15068.18 miles per hour

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Answer:

[tex](12\frac{1}{3} *2)+(10\frac{3}{4} *2)\\\\=(\frac{12(3)+1}{3} *2)+(\frac{10(4)+3}{4} *2)\\\\=\frac{37*2}{3} +\frac{43*2}{4} \\\\=\frac{74}{3} +\frac{86}{4} \\\\=\frac{74(4)+86(3)}{3*4} \\\\=\frac{296+258}{12} \\\\=\frac{554}{12}[/tex]

If y (0) = -1/3, then

-1/3 = 1 / (1 + C e ⁻⁰)

Solve for C :

-1/3 = 1 / (1 + C )

-3 = 1 + C

C = -4

So the particular solution to the DE that satisfies the given initial condition is

[tex]\boxed{y=\dfrac1{1-4e^{-x}}}[/tex]

The answer at the end of the day would be 4

Answer:

I set up an equation to show that the number of bracelets multiplied by the cost of each bracelet minus the commission is equal to the total, 6(x – 1.25) = 16.50. I divided each side by 6, then added 1.25 to each side with a result of x = 4. Hyo-Jim sold each bracelet for $4.

Step-by-step explanation:

Answer:

It cannot be 0

Step-by-step explanation:

it can also be positive number :2/4

it can be odd number too:3/9

it is bigger than numerator bcoz we have to divide it for numerator

So, 0 number cannot be put as denominator in fraction is true statement

9514 1404 393

Answer:

  x = 5

Step-by-step explanation:

The given side is opposite the angle, and the unknown is the hypotenuse. The relevant trig relation is ...

  Sin = Opposite/Hypotenuse

  sin(30°) = (5/2)/x

  x = (5/2)/sin(30°) = (5/2)/(1/2) = 5/1

  x = 5

__

Additional comment

In this 30°-60°-90° "special" right triangle, the long leg is √3 times the short leg, so ...

  y = (5/2)√3

Answer:

is 84

Step-by-step explanation:

why aronou much and yes so many sorry

Answer: I believe that you have to do e^3 to find the volume of a cube.

If you had the side, you would do a^3 (a stands for the side length)

9514 1404 393

Answer:

  3/(x +1) -4/(x +1)^2

Step-by-step explanation:

The partial fraction expansion will be of the form ...

  A/(x+1)^2 +B/(x+1)

We can find the values of A and B by writing the sum of these terms:

  = (A +B(x +1))/(x +1)^2

Then we require ...

  B = 3

  A +B = -1   ⇒   A = -4

So, the desired expansion is ...

  3/(x +1) -4/(x +1)^2

9514 1404 393

Answer:

  382 cm²

Step-by-step explanation:

The side facing is a trapezoid with bases 8 and 14 cm, and height 7 cm. Its area is ...

  A = 1/2(b1 +b2)h

  A = (1/2)(8 +14)(7) = 77 . . . . cm²

The perimeter of the face is ...

  7 cm + 8 cm + 9 cm + 14 cm = 38 cm

The total surface area is the sum of the lateral area and the base area.

  SA = LA + BA

  SA = (38 cm)(6 cm) + 2×(77 cm²) = 228 cm² + 154 cm²

  SA = 382 cm²

The surface area of the composite figure is 382 square centimeters.

_____

Additional comment

The lateral area is the width of a rectangular face (6 cm) times the total of all of the lengths of those faces. That total is the perimeter of the trapezoidal base (38 cm).

There are two trapezoidal bases that contribute area. The first calculation figured the area of one of them.

Answer:

-3<x≤4

Step-by-step explanation:

Answer:

4 [tex]\geq[/tex] x > -3

Step-by-step explanation:

I just put the written form into inequality form.

Answer:

Domain: [-5, 4]

Range: [-5, 0] U (2, 4]

Step-by-step explanation:

The domain encompasses whatever the input (in this case, the horizontal values) can be and the range is what the output (in this case, the vertical values) can be.

As shown on the graph, all horizontal values including and between -5 and 4 are used on the graph. It does not matter that they are on two separate lines. Therefore, the domain is [-5, 4]. Note that the closed brackets signify that -5 and 4 are used

The y values used in the bottom line range from -5 to 0, and in the top one they range from 2 to 4 (not including the 2, as shown by the open circle). Therefore, the bottom range is [-5, 0] and the top range is (2, 4]. We can combine these to say the range is [-5, 0] U (2, 4]

The exact amount of oil that leaks out for 0 ≤ t ≤ 10 is given by the integral,

[tex]\displaystyle\int_0^{10}r(t)\,\mathrm dt[/tex]

Then the upper and lower estimates of this integral correspond to the upper and lower Riemann/Darboux sums. Since r(t) is said to be decreasing, this means that the upper estimate corresponds to the left-endpoint Riemann sum, while the lower estimate would correspond to the right-endpoint sum.

So you have

• upper estimate:

(8.8 L/h) (2 h - 0 h) + (7.6 L/h) (4 h - 2h) + (6.8 L/h) (6 h - 4h) + (6.2 L/h) (8 h - 6h) + (5.7 L/h) (10 h - 8 h)

= (2 h) (8.8 + 7.6 + 6.8 + 6.2 + 5.7) L/h)

= 70.2 L

• lower estimate:

(7.6 L/h) (2 h - 0 h) + (6.8 L/h) (4 h - 2h) + (6.2 L/h) (6 h - 4h) + (5.7 L/h) (8 h - 6h) + (5.3 L/h) (10 h - 8 h)

= (2 h) (7.6 + 6.8 + 6.2 + 5.7 + 5.3) L/h)

= 63.2 L

Answer:

0.6121 = 61.21% probability that the sample average amount of time taken on each day is at most 11 min.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

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.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Normal distribution with mean value 10 min and standard deviation 3 min.

This means that [tex]\mu = 10, \sigma = 3[/tex]

First day:

5 individuals, so [tex]n = 5, s = \frac{3}{\sqrt{5}}[/tex]

The probability is the p-value of Z when X = 11. So

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

By the Central Limit Theorem

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

[tex]Z = \frac{11 - 10}{\frac{3}{\sqrt{5}}}[/tex]

[tex]Z = 0.745[/tex]

[tex]Z = 0.745[/tex] has a p-value of 0.7719.

Second day:

6 individuals, so [tex]n = 6, s = \frac{3}{\sqrt{6}}[/tex]

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

[tex]Z = \frac{11 - 10}{\frac{3}{\sqrt{6}}}[/tex]

[tex]Z = 0.817[/tex]

[tex]Z = 0.817[/tex] has a p-value of 0.793.

What is the probability that the sample average amount of time taken on each day is at most 11 min?

Each day is independent of other days, so we multiply the probabilities.

0.7719*0.793 = 0.6121

0.6121 = 61.21% probability that the sample average amount of time taken on each day is at most 11 min.

Answer:

117.8 in.

Step-by-step explanation:

To find the perimeter, add all the side lengths together. If we do that, we get 117.8 in, which is the answer.

9514 1404 393

Answer:

  6 units

Step-by-step explanation:

The dilation factor is 2, so the length of A'B' will be 2 times the length of AB.

AB can be seen to be 3 units, so A'B' will be 2×3 = 6 units.

Answer:

sqrt( 150)

Step-by-step explanation:

it can also be 5sqrt(6)

The solution is,  the area of the triangle. ABC is 10 cm^2.

Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.

here, we have,

from the given diagram, we get,

we have to find the area of the triangle. ABC

now, we have,

using the Pythagorean theorem, we get,

BD = √AB² - AD²

     =√50 - 45

     =√5

now, we know that,

area of triangle = 1/2 * base * height

                          = 1/2 * √5 * 4√5

                          = 10

Hence, The solution is,  the area of the triangle. ABC is 10 cm^2.

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Answer:

3

Step-by-step explanation:

3t + 2 = 5t - 4

3t - 5t = -4 - 2

-2t = -6

t = 6/2

t = 3

Answer:

t = 3

Step-by-step explanation:

3t + 2 = 5t - 4

3t - 5t = - 4 - 2

-2t = -6

(Cut those two -)

t = 6÷2

t = 3