MAJOR GRADE TEST I NEED NUMBER 2

Answer: The four angles will fit together at a point with no gaps.

Step-by-step explanation:

Given: The ratio of four angles 2:3:4:11.

Let the angles be 2x , 3x, 4x and 11x.

Larget angle= 11x

As per given,

[tex]11x = 198\\\\\Rightarrow\ x=\dfrac{198}{11}\\\\\Rightarrow\ x=18^{\circ][/tex]

Then, [tex]2x= 2 \times 18^{\circ}=36^{\circ}[/tex]

[tex]3x=3\times 18^{\circ}=54^{\circ}[/tex]

[tex]4x= 4\times18^{\circ}=72^{\circ}[/tex]

All angles are : [tex]36^{\circ},54^{\circ},72^{\circ},198^{\circ}[/tex]

Sum of all angles =  they [tex]36^{\circ}+54^{\circ}+72^{\circ}+198^{\circ}=360^{\circ}\ \ \ \text{[Total angle at a point = }360^{\circ}][/tex]

Hence, the four angles will fit together at a point with no gaps.

Answer: 64 cm ²

Step-by-step explanation:

The perimeter of this rectangle will be:

= 2 * Length + 2 * Width

= 2 * 10 + 2 * 6

= 20 + 12

= 32 cm

The square has the same perimeter. Squares have 4 equal sides so each side of the square must be:

= 32 / 4

= 8 cm

Area = Length * Width

= 8 * 8

= 64 cm ²

Answer:-397x+-5

Step-by-step explanation:

-52x-345x-5

=-52x+-345x+-5

=(-52x+-345x)+(-5)

=-397x+-5

Answer:

4.3675 × 10^3

Step-by-step explanation:

Answer:

Step-by-step explanation:

using pythagorean theorem:

c^2=a^2+b^2

16^2=a^2+12^2

16^2-12^2=a^2

256-144=a^2

[tex] \sqrt{112 = a {}^{2} } [/tex]

10.5=a.(which is the diametre of the circle)

area of cirlcle=

[tex]pir {}^{2} [/tex]

=3.14×5.25^2

area=86.3

The area of the circle​ will be 87.91 cm² in the given figure.

The area of the circle is equal to the product of the square of the radius of the circle and pi.

A = πr²

where 'r' is the radius of the circle

The given figure represents a triangle inside a circle with a center O.

As per the given figure,

The lengths of the shorter sides of the triangle are 12 cm and 16 cm.

The triangle is given in the figure is the right triangle.

According to Pythagoras's theorem,

⇒ c² = a² + b²

Here c = 16 and b = 12

⇒ 16² = a² + 12²

⇒ 16² - 12² = a²

⇒ 256 - 144 = a²

⇒ a² = 112

⇒ a = √112

⇒ a = 10.58 cm

The diameter of the circle = a = 10.58 cm

The area of the circle​ = π × (a/2)²  = π × (10.58/2)²  

The area of the circle​ = 87.91 cm²

Therefore, the area of the circle​ will be 87.91 cm² in the given figure.

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Answer:

a) y = 9.95(x-3) + 20.00

b) Cost of 5 software packages = $39.90

Step-by-step explanation:

Given that:

Cost of 3 software at sale = $20

Cost of regular = $9.95

Let,

x be the number of software purchased.

We will subtract 3 from x because they cost $20.

y be the total cost.

y = 9.95(x-3)+ 20.00

Putting x=5 in expression

y = 9.95(5-3) + 20.00

y = 2(9.95) + 20.00

y = 19.90 + 20.00

y = $39.90

Hence,

a) y = 9.95(x-3) + 20.00

b) Cost of 5 software packages = $39.90

Answer:

Each person will earn $16.

Step-by-step explanation:

Given that:

Amount of loss faced by the company = $144

Number of people who would share the amount = 9

Let,

x be the share of each person.

Number of people * Share per person = Total loss

9x = 144

Dividing both sides by 9

[tex]\frac{9x}{9}=\frac{144}{9}\\[/tex]

x = $16

Hence,

Each person will earn $16.

Answer: m=12h

The dependent variable is m. The independent variable is h or hours worked. M or money earned is dependent because it will vary depending on the number of hours worked.

Step-by-step explanation:

I would say B

Hope I helped :)

Answer:

x = -9, 10

Step-by-step explanation:

[tex]x^2 - x = 90\\[/tex]

Solve this as a quadratic equation, so subtract 90 from both sides:

[tex]x^2-x-90=0[/tex]

Factoring:

[tex](x+9)(x-10) = 0[/tex]

This means that:

[tex]x + 9 = 0\\\\x=-9\\or\\x - 10 = 0\\x = 10[/tex]

x can be -9 or 10.

Answer:

200, 300, 800

Step-by-step explanation:

2x+3x+8x=1300

13x=1300

x=100

2x=200, 3x=300, 8x= 800

Answer:

233 and 20 hrs

Step-by-step explanation:

Answer:

Q1.

AC is the greatest side, therefore is hypotenuse. AB and BC are legs.

B is 90 deg as the two legs cross at this point.

Ratios:

BC is opposite to A and adjacent to C

AB is adjacent to A and opposite to C

Q2.

a) Answered above

b) Answered above

Answer:

19.948

Step-by-step explanation:

bc if u round it the 8 is bigger than 5 so its 19.95 if that makes any sense

Answer:A

Step-by-step explanation:

Step-by-step explanation:

Radius is 6 inches

Circumference is 37.68

Area is 113.0973

Answer:

$56.22

Step-by-step explanation:

Since movies cost $10.25 per ticket:

total cost for tickets: 3($10.25)= $30.75

Next, each person got one popcorn.

total cost for popcorn: 3($4.99)=$14.97

Each person got one candy bar: 3($3.50)=$10.50.

Finally, you add up the totals:

$30.75+$14.97+$10.50=$56.22

Answer:

$56.22

Step-by-step explanation:

$10.25 x 3 = $30.75

$4.99 x 3 = $14.97

$3.50 x 3 = $10.50

$30.75 + $14.97 + $10.50 = $56.22

Answer: Elisa

Step-by-step explanation:

Elisa withdrew $20 at a time from her bank account and withdrew a total of $160. The number of times she made a withdrawal will be:

= $160 / $20

= 8 times

Frances withdrew $49 at a time from his bank account and withdrew a total of $196. The number of times she made a withdrawal will be:

= $196 / $49

= 4 times.

From the calculations above, we can see that Elisa made the greater number of withdrawals.

Answer:

#1

Step-by-step explanation:

Hope this helps! <3

Answer:

B: 28pi m^3

Step-by-step explanation:

r = 4/2 = 2 m

h = 7 m

Volume of cylinder

[tex] = \pi {r}^{2} h \\ \\ = \pi \times {2}^{2} \times 7 \\ \\ = \pi \times 4 \times 7 \\ \\ = 28\pi \: {m}^{3} [/tex]

Answer:

The value of y = 0

Step-by-step explanation:

Given the equation

[tex]8^3\cdot 8^{-5}\cdot 8^{\:y}=8^{-2}[/tex]

Apply exponent rule:  [tex]a^b\cdot \:a^c=a^{b+c}[/tex]

so

[tex]8^3\cdot \:\:8^{-5}=8^{3-5}=8^{-2}=\frac{1}{8^2}=\frac{1}{64}[/tex]

Thus, the equation becomes

[tex]\frac{1}{64}\left(8\:^y\right)=\frac{1}{64}[/tex]

Divide both sides by 1/64

[tex]\frac{\frac{1}{64}\left(8\:^y\right)}{\frac{1}{64}}=\frac{\frac{1}{64}}{\frac{1}{64}}[/tex]

[tex]8\:^y=1[/tex]

Solve Exponent

[tex]8\:^y=1[/tex]

Take log of both sides

[tex]\:log\left(8\:^y\right)\:=log\:\left(1\right)[/tex]

[tex]y\cdot \left(log\left(8\right)\right)=log\left(1\right)[/tex]

[tex]y\:=\frac{log\left(1\right)}{\left(log\left(8\right)\right)}[/tex]

[tex]y = 0[/tex]

Therefore, the value of y = 0

Answer:

I am Jewish and here are some thing that we do that some people might not know of, ima just list random things that we do I guess, its gonna be a lot so brace urself.

Step-by-step explanation:

But the really religious Jews wear different things:

Women:

1. When they are married they have to wear wigs and you can take it off only next to your husband.

2. You have to wear skirts all they way up to your ankles, they cant show, you have to wear long sleeves that cover your elbows, and you have to wear something that covers your collar bone.

Everyone:

1. They have to eat kosher

2. Go to shul (basically a Jewish temple where they go pray).

3. They have to follow the 10 commandments.

4. They cant have pork

Men:

1. When they are married women cant touch them or the other way around.

2. When they are baby's they have something called a brit milah (if you want search it up cuz I cant really say what they do on here).

3. THEY HAVE TO GO TO SHUL

Ok I wrote too much ima go now byeeeee hope this helped

Btw we speak HEBREW and we are JEWISH, nit we speak jewish and we are hebrew, theres no such thing.

just wanted to make that clear thx ok now bye.

Judaism is more than an abstract intellectual system, though there have been many efforts to view it systematically. It affirms divine sovereignty disclosed in creation (nature) and in history, without necessarily insisting upon—but at the same time not rejecting—metaphysical speculation about the divine. It insists that the community has been confronted by the divine not as an abstraction but as a person with whom the community and its members have entered into a relationship. It is, as the concept of Torah indicates, a program of human action, rooted in this personal confrontation. Further, the response of this particular people to its encounter with God is viewed as significant for all humankind. The community is called upon to express its loyalty to God and the covenant by exhibiting solidarity within its corporate life on every level, including every aspect of human behaviour, from the most public to the most private. Thus, even Jewish worship is a communal celebration of the meetings with God in history and in nature. Yet the particular existence of the covenant people is thought of not as contradicting but rather as enhancing human solidarity. This people, together with all humanity, is called upon to institute political, economic, and social forms that will affirm divine sovereignty. This task is carried out in the belief not that humans will succeed in these endeavours solely by their own efforts but that these sought-after human relationships have their source and their goal in God, who assures their actualization. Within the community, each Jew is called upon to realize the covenant in his or her personal intention and behaviour.

In considering the basic affirmations of Judaism from this point of view, it is best to allow indigenous formulations rather than systematic statements borrowed from other traditions to govern the presentation.

God

An early statement of basic beliefs and doctrines about God emerged in the liturgy of the synagogue some time during the last pre-Christian and first Christian centuries; there is some evidence to suggest that such formulations were not absent from the Temple cult that came to an end in the year 70 CE. A section of the siddur that focuses on the recitation of a series of biblical passages (Deuteronomy 6:4–9; Deuteronomy 11:13–21; Numbers 15:37–41) is named for the first of these, Shema (“Hear”): “Hear, O Israel! the Lord is our God, the Lord alone” (or “…the Lord our God, the Lord is one”). In the Shema—often regarded as the Jewish confession of faith, or creed—the biblical material and accompanying benedictions are arranged to provide a statement about God’s relationship with the world and Israel (the Jewish people), as well as about Israel’s obligations toward and response to God. In this statement, God—the creator of the universe who has chosen Israel in love (“Blessed art thou, O Lord, who has chosen thy people Israel in love”) and showed this love by the giving of Torah—is declared to be “one.” His love is to be reciprocated by those who lovingly obey Torah and whose obedience is rewarded and rebellion punished. The goal of this obedience is God’s “redemption” of Israel, a role foreshadowed by his action in bringing Israel out of Egypt.

Unity and uniqueness

At the centre of this liturgical formulation of belief is the concept of divine singularity and uniqueness. In its original setting, it may have served as the theological statement of the reform under Josiah, king of Judah, in the 7th century BCE, when worship was centred exclusively in Jerusalem and all other cultic centres were rejected, so that the existence of one shrine only was understood as affirming one deity. The idea acquired further meaning, however. It was understood toward the end of the pre-Christian era to proclaim the unity of divine love and divine justice, as expressed in the divine names YHWH and Elohim, respectively. A further expansion of this affirmation is found in the first two benedictions of this liturgical section, which together proclaim that the God who is the creator of the universe and the God who is Israel’s ruler and lawgiver are one and the same—as opposed to the dualistic religious positions of the Greco-Roman world, which insisted that the creator God and the lawgiver God are separate and even inimical. This affirmation was developed in philosophical and mystical terms by both medieval and modern thinkers.

JUST LETTING U KNOW IM NOT JUDAISM

Step-by-step explanation:

Let l be the length of the room, and w be the width.

If the length is 6 feet longer than twice the width, then we can say l = 2w+6

Knowing that the formula for the perimeter of a rectangle is P = 2l+2w, and knowing that P=144 ft, we can say that 2L + 2w= 144 ft.

To find the dimensions, we plug our value for l into our perimeter equation

This gives us the following equation: 144= 2(2w+6) + 2w, which simplifies to 144=4w+12+2w, which further simplifies to 144= 6w+12

To get w on one side of the equation, we subtract 12 from each side, which gives us 132=6w

Dividing each side by 6, we determine that w= 22 ft.

Plugging this value back into our first equation we see that l= 2(22)+6

So l= 50 ft.

So, the dimensions of the room are as follows: length is 50 ft., width is 22 ft.

Answer:

L = w + 6

Step-by-step explanation:

We need to write an expression for the length.

We know that the length is 6ft longer than the width.

Make your expression:

We will represent length as "L" and width as "w".

L = w + 6

This would be our expression since we know that no matter what, the length will be 6ft more than the width, therefore you would add 6 to the width to get your length.

The correct answer is C. Trapezoid.

A trapezoid is a quadrilateral with at least one pair of parallel sides. It can have two parallel sides (a "parallel trapezoid") or none (a "non-parallel trapezoid").

The shape of the cross-section will depend on the orientation of the plane with respect to the pyramid. However, since the plane does not pass through the vertex of the pyramid, we know that the cross-section will not be a point or a line.

Assuming that the plane intersects all four triangular faces of the pyramid, the shape of the cross-section will be a trapezoid. Specifically, it will be a trapezoid with one pair of parallel sides (the bases) and two non-parallel sides (the legs) that meet at a common vertex.

Therefore, the correct answer is C. Trapezoid.

Tο learn more about Trapezoid, from the link given below.

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Answer: C.Trapezoid

Step-by-step explanation:

Answer:

43099200

Step-by-step explanation:

Answer: 4 boxes full and 1 jar left

Mia can fill 4 boxes with 18 jars having 2 leftovers.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, Mila is packing 18 jars into boxes.

Each box will hold 4 jars.

∴ No of the boxes she will fill is the integer value of 18 divided by 4 which is,

18 = 4×4 + 2.

So, she can fill 4 boxes with 18 jars having 2 leftovers.

learn more about numerical expressions here :

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Answer:

wHaT?!?!!??!?!?!?!?!