Ms. Trevino has 7 1/2 yards of string, She needs to cut them into strips, and each strip needs to be 1 1/2 yards in length. How many strips of string can she cut with 7 1/2 yards?

Given:

In triangle [tex]EFG, m\angle E = 5x, m\angle F=6x[/tex] and extirior angle G  is 110 degrees.

To find:

The measure of angle FEG.

Solution:

Exterior angle theorem, the sum of two interior angles of a triangle is equal to the opposite extirior angle.

Using extrior angle theorem in triangle EFG, we get

[tex]m\angle E+m\angle F=\text{Measure of extirior angle }G[/tex]

[tex]5x+6x=110^\circ[/tex]

[tex]11x=110^\circ[/tex]

[tex]x=\dfrac{110^\circ}{11}[/tex]

[tex]x=10^\circ[/tex]

Now,

[tex]m\angle FEG=5x[/tex]

[tex]m\angle EFG=5(10^\circ)[/tex]

[tex]m\angle EFG=50^\circ[/tex]

Therefore, the measure of angle FEG is 50 degrees. So, option C is correct.

Answer:

888sq. ft

Step-by-step explanation:

Volume of a rectangular prism = length * width * height

For the given diagram

area of the truck = area of the bigger + area of smaller prism

area of the bigger prism = 6 * 9 * 16

area of the bigger prism = 864sq. ft

Area of smaller prism = 2 * 2 * 6

Area of smaller prism = 24 sq. ft

Area of the figure = 864 + 24

Area of the figure = 888sq. ft

Answer:

9.91%

Step-by-step explanation:

cost price= 400

selling price=444

profit made= 444-400

= 44

profit percentage= 44/444 ×100

=9.91%

Answer:

The median value is better because it is not affected by the skewness of the data

Step-by-step explanation:

The median is  better in representing the data of a stem and leaf plot because the median value is not affected so much by outliers and skewness of the data. for example:  for a downward skewed stem and leaf plot the value of the median is greater than the mean value

Hence the median value is a better representation of the central tendency

Answer:

a = 15b

Step-by-step explanation:

It's given in the question that Alice has 15 times as many crayons as Bryan.

Let the number of crayons with Bryan = b

And the number of crayons with Alice = a

Therefore, equation representing the number of crayons with Alice will be,

a = 15b

Answer:

402.1

hope it helps

please mark Brainliest

Answer:

the answer for this question is C

Step-by-step explanation:

base radius = 0.8

Height = 3.5

Volume of a cone =

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

V=1/3 x 3.14 x 0.8^2 x 3.5

V=2.3445 in^3

V= 2.34 in^3

Option (C) is the correct option.

"In geometry, a quadrilateral is a four-sided polygon, having four edges (sides) and four corners (vertices). If the sides are represented by arrows, then the side is parallel to each other. A quadrilateral with sides of different lengths, may not have the sides parallel to each other".

For the given situation,

From the definition, a quadrilateral with sides of different lengths has no parallel sides.

Hence, option (C) is the correct option.

Learn more about quadrilaterals here

https://brainly.com/question/26843538

#SPJ2

Answer: I think it's D.

Answer:

To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.

Step-by-step explanation:

isnt the x a 90 degree angle?

Answer:

6 percent?

Step-by-step explanation:

.

Answer:

The t-score to be used to find the 95% confidence interval for the population mean is;

[tex]t_{(0.025, \, 25)} = 2.06[/tex]

Step-by-step explanation:

The t-score which is representative of a point with n - k (n, and k represents the sample size and the number of groups in the test respectively) degrees of freedom  from the Student's T-distribution is a standard test statistic obtained by applying a T-test

Therefore, the t-score used for a confidence interval is obtained by by making use of the the following information;

The number of degrees of freedom = n - k

The confidence level in the confidence interval

The parameters given in the question are;

The number of pizza orders in the sample, n = The sample size = 26

The number of samples used in the estimate, k = 1 group of 26 randomly sampled pizza

The level of confidence (the probability) that the interval contains the population mean = 95%

Therefore, the significance level, α = 1 - 95% = 1 - 95/100 = 0.05

∴ The α-level for the upper and lower limit of the interval are α/2 = 0.05/2 = 0.025 long

The degrees of freedom, df = n - k

∴ For the estimation, DF = 26 - 1 = 25

The t-statistic is therefore the t-value at the intersection of the row for DF = 25 and the 0.025 (one-tail) column (0.025 two-tail column) which gives;

[tex]t_{(\alpha /2, \, DF)} = t_{(0.025, \, 25)} = 2.06[/tex]

Answer:

1680 ways

Step-by-step explanation:

From the question,

nPr = n!/(n-r)!.................. Equation 1

Where, n = Total number of books to chose from, r = number of books to be arranged in the shelf.

Given: n = 8 books,  r = 4 books.

Substitute into equation 1

8P4 = 8!/(8-4)!

8P4 = 8!/4!

8P4 = (8×7×6×5×4!)/4!

8P4 = 1680 ways.

Hence the number of ways 4 books can be arranged in a shelf if there are 8 books to chose from is 1680 ways

Answer:

21 Adults= 7 Children , 35 Adults= 15 children and 56 Adults = 24 Children

Step-by-step explanation:

In other words, every 7 Adults creates a set of 3 Children

In the case of the 21 Adults, 21 /7 = 3sets of Children. Therefore 3x3 =9 Children.

For 35 adults, 35/7 gives us 5 sets

Therefore 5x3= 15 Children

Finally, 56 adults. 56/7= 8 sets

Therefore 8x3= 24 Children

Hope this helps and goodluck. Feel free to post more questions.

Answer:

The rate of change of the distance between the airplanes is approximately 316.760 kilometers.

Step-by-step explanation:

The distance between both airplanes (r), in kilometers, can be determined by the Pythagorean Theorem, that is:

[tex]r^{2} = x^{2}+y^{2}[/tex] (1)

Where:

[tex]x[/tex] - Distance of the westbound airplane from airport, in kilometers.

[tex]y[/tex] - Distance of the southbound airplane from airport, in kilometers.

By Differential Calculus, we derive an expression for the rate of change of the distance between the airplanes ([tex]\dot r[/tex]), in kilometers per hour:

[tex]2\cdot r\cdot \dot r = 2\cdot x \cdot \dot x + 2\cdot y \cdot \dot y[/tex]

[tex]\dot r = \frac{x\cdot \dot x + y\cdot \dot y}{\sqrt{x^{2}+y^{2}}}[/tex] (2)

Where:

[tex]\dot x[/tex] - Rate of change of the distance of the westbound airplane, in kilometers per hour.

[tex]\dot y[/tex] - Rate of change of the distance of the southbound airplane, in kilometers per hour.

If we know that [tex]x = 17\,km[/tex], [tex]y = 28\,km[/tex], [tex]\dot x = -164\,\frac{km}{h}[/tex] and [tex]\dot y = -271\,\frac{km}{h}[/tex], then the rate of change of the distance between the airplanes is:

[tex]\dot r = \frac{x\cdot \dot x + y\cdot \dot y}{\sqrt{x^{2}+y^{2}}}[/tex]

[tex]\dot r \approx -316.760\,km[/tex]

The rate of change of the distance between the airplanes is approximately 316.760 kilometers.

Answer:

105

Step-by-step explanation:

11×14= 154

7×7= 49

154-49= 105

Answer:

105 is ur answer!

you're welcome lol

Answer:

M< D = 105⁰

Step-by-step explanation:

the sum of the opposite angles of a cyclic quadrilateral is 180⁰

hence, <ADC + <ABC = 180⁰

<ADC + 75⁰ = 180⁰

<ADC = 180⁰ - 75⁰

< ADC= 105⁰

Answer:

Solution given:

y=-1/2 x²

for

f(x)=-1/2 x².

differentiating each term with respect to x

f'(x)=-x

when

x=-4

f'(-4)=4>0 increasing

when

x=-2

f'(-2)=2 >0 increasing

when x=0

f'(0)=0 stationary point.

other points are decreasing

so

largest interval of increasing is

A.X<-2

Answer:

5.375 quarts

1.625

Step-by-step explanation:

determine amount of quarts of latex per square feet = 5/200 = 0.025

quart for 215 = 0.025 x 215 = 5.375 quarts

quart for 65 = 65 x 0.025= 1.625

Answer:

Sugar for 1 cake = 7.4 g

Sugar for 7 cakes = 7.4 × 7 = 51.8 g.

Answer:

53.4° and 36.6°

Step-by-step explanation:

90.0 - 36.6 = 53.4

Answer:

i think its a

Step-by-step explanation:

Answer:

B 7.2

Step-by-step explanation:

the coordinate of C: (1, 3)

the coordinate of E: (5, -3)

the distance formula: [tex]\sqrt{(x2 - x1)^{2} + (y2 - y1)^{2} }[/tex]

= [tex]\sqrt{(5-1)^{2} + (-3-3)^{2}}[/tex]

= [tex]\sqrt{16+36}[/tex]

= [tex]\sqrt{52}[/tex]

≈ 7.2

Answer:

18 inches

Step-by-step explanation:

Answer:

108 associative

Step-by-step explanation:

Answer:

x = 14

Step-by-step explanation:

two negatives become a positive so the equation is now

x + 3 = 17

subtract 3 from both sides, giving you 14