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Semmy [17]
3 years ago
13

Look at the parallelogram below. Ð1 and Ð3 are each 35°. What is the measurement of Ð2?

Mathematics
1 answer:
m_a_m_a [10]3 years ago
3 0
The interior angel for this parallelogram is 360° because
180°(n-2) where n represent the total side.
Angle 1+ Angle 3=70°
360°-70°=290°
290°÷2=145°. As a result, the measurements of D2 is D. Hope it help!
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This hyperbola is centered at theorigin. Find its equation.Foci: (-2,0) and (2,0)Vertices: (-1,0) and (1,0)
beks73 [17]

SOLUTION

From the question, the center of the hyperbola is

\begin{gathered} (h,k),\text{ which is } \\ (0,0) \end{gathered}

a is the distance between the center to vertex, which is -1 or 1, and

c is the distance between the center to foci, which is -2 or 2.

b is given as

\begin{gathered} b^2=c^2-a^2 \\ b^2=2^2-1^2 \\ b=\sqrt[]{3} \end{gathered}

But equation of a hyperbola is given as

\frac{(x-h)^2}{a^2}-\frac{(y-k)^2}{b^2}=1

Substituting the values of a, b, h and k, we have

\begin{gathered} \frac{(x-0)^2}{1^2}-\frac{(y-0)^2}{\sqrt[]{3}^2}=1 \\ \frac{x^2}{1}-\frac{y^2}{3}=1 \end{gathered}

Hence the answer is

\frac{x^2}{1}-\frac{y^2}{3}=1

5 0
1 year ago
Cost of Bikes ($) at Bike Shop
AysviL [449]

Answer:380

Step-by-step explanation:sort the list, take center value or mean of center values if even number of items in list

8 0
1 year ago
Pollution Rates Assignment
stepan [7]

Answer:

1. a) 4.8 lb

I) 8%

II) 0.384 lb

2. a) 12.5 lb

I) 8%

II) 1 lb

Step-by-step explanation:

Let's begin by listing out the given variables:

mass of pesticide (m) = 12 lb,

40WP (40 weight percent) means the active ingredient comprises 40% of the total mass of the pesticide

a) amount of active ingredient = mass of the pesticide * weight percentage of the active ingredient

x = 12 * 40% = 12 * 0.4

x = 4.8 lb

I. If the soil has an absorption rate of 92%, that means 8% will go into the run-off

The percentage of active ingredient that will end up in the run-off = the percentage of the active ingredient (100%) - the absorption rate

y = (100 - 92)%

y = 8%

II. amount of of active ingredient that will end up in the run-off = amount of active ingredient * the percentage of active ingredient that will end up in the run-off

z = x * y = 4.8 * 8% = 4.8 * 0.08

z = 0.384 lb

2. Let's list out the variables given, we have:

mass of pesticide = 25 lb, weight percent of active ingredient = 50% = 0.5

amount of active ingredient = mass of the pesticide * weight percentage of the active ingredient

x = 25 * 0.5

x = 12.5 lb

I. If the soil has an absorption rate of 92%, that means 8% will go into the run-off

The percentage of active ingredient that will end up in the run-off = the percentage of the active ingredient (100%) - the absorption rate

y = (100 - 92)%

y = 8%

II. amount of of active ingredient that will end up in the run-off = amount of active ingredient * the percentage of active ingredient that will end up in the run-off

z = x * y = 12.5 * 8% = 12.5 * 0.08

z = 1 lb

7 0
3 years ago
As a part of their weather unit, Anoki’s science class took a hot air balloon ride. As they passed over a fenced field, the angl
yulyashka [42]
Please refer to the figure attached for the diagram of this problem.

Steps needed to find the width of the field (CD):

First, we should note that angle d would be equal to 27 degrees because there are two parallel lines that are cut by a transversal. Furthermore, angle a would be equal to 5 degrees since we just need to subtract 27 from 32.

We then subtract 27 and 5 from 180 to get angle c. 180-27-5=148. Angle c is therefore 148 degrees.

Next, we need to find angle e which is just the supplementary of angle c. Angle e therefore measures 180-148=32 degrees.

For the next step we use sine law to find the length of segment AC:
\frac{sin(32)}{800} = \frac{sin(90)}{AC}
AC=1509.66

Lastly, we need to utilize the sine law again to find the length of segment CD or the width of the field:
\frac{sin(27)}{1509.66} = \frac{sin(5)}{CD}
CD=290

ANSWER: The width of the field is 290 ft.

7 0
3 years ago
Renee is comparing the price of potting soil for her garden. Which store offers the lowest price for the soil?
olga55 [171]
A or E is the right answer
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