The diagram shows a circle with center O and radius 42 inches.
A and B are points on the circumference such that arc AB makes an angle of 120°
Calculate the length of the arc AB.
Use 22/7 as an approximation for IT
A 88 inches
B 132 inches
C176 inches
D 264 inches

Answer:

B. f(x) = 8x + 2

Step-by-step explanation:

You can start by checking the first answer

f(x) = 8x + 2

Use the first row of numbers

Use x as the numbers in the 'In' column

f(x) is the numbers in 'Out' column

Therefore:

8x + 2

8(-4) + 2 = - 30

-32 + 2 = 30

This statement is correct

Therefore the correct answer is A.

Answer:

568,000L

Step-by-step explanation:

1 Kiloliter = 1,000 Liters

568 x 1,000 = 568,000

Answer:

I'm like 99.8 percent sure it's b5

Answer:

B) y = 5

Step-by-step explanation:

10/y = 8/4

8y = 40

y = 5

Answer:

minus 5 by 7

Step-by-step explanation:

5 - 7 = -2

2 - 3 = -1

The smaller the negative integer, the bigger the number.

Given:

The height of the swipe card in feet after t seconds is

[tex]h(t)=-3t^2+15t+18[/tex]

To find:

The maximum height of the swipe card and the time at which it reaches this height.

Solution:

We have,

[tex]h(t)=-3t^2+15t+18[/tex]

Here, leading coefficient is -3, which is negative. It means it is a downward parabola and the vertex of the downward parabola is the point of maximum.

If a quadratic function is [tex]f(x)=ax^2+bx+c[/tex], then the vertex is

[tex]Vertex=\left(-\dfrac{b}{2a},f(-\dfrac{b}{2a})\right)[/tex]

In the given function, we get

[tex]a=-3,b=15,c=18[/tex]

Now,

[tex]-\dfrac{b}{2a}=-\dfrac{15}{2(-3)}[/tex]

[tex]-\dfrac{b}{2a}=2.5[/tex]

Putting t=2.5 in the given function, we get

[tex]h(2.5)=-3(2.5)^2+15(2.5)+18[/tex]

[tex]h(2.5)=36.75[/tex]

So, the vertex of the given parabola is at (2.5,36.75).

Therefore, the maximum height of the swipe card is 36.75 feet and it reaches this height after 2.5 seconds.

Answer:

1. 130°

2. corresponding

3. congruent

Step-by-step explanation:

Answer:

ummmm ok give a sec

Step-by-step explanation:

Answer:

14,22

Step-by-step explanation:

Answer:

1380 miles in 15 hours (92 mph).

Step-by-step explanation:

460/5 = 92.

92 mph.

92*15=1380

1380 miles in 15 hours

Answer:

1380 miles in 15 hours

Step-by-step explanation:

*Assuming the jet travel at a constant speed.

First, find the amount the jet flew in 1 hour. Divide 460 miles with 5 hours:

460/5 = 92

The jet travels 92 miles per hour.

Next, multiply 92 mph with 15 hours:

92 x 15 = 1380 miles

1380 miles in 15 hours is your answer.

Answer:

36

Step-by-step explanation:

Basically dividing both of the outcome of the reliable equation, the outlier was 36

Answer:

x ≈ 9.5 , y ≈ 15.3

Step-by-step explanation:

sin32° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{18}[/tex] ( multiply both sides by 18 )

18 × sin32° = x , then

x ≈ 9.5 ( to the nearest tenth )

cos32° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{y}{18}[/tex] ( multiply both sides by 18 )

18 × cos32° = y , then

y ≈ 15.3 ( to the nearest tenth )

Answer:

3

Step-by-step explanation:

Answer:

3

The factors of 51 are 1,3,17,51; The factors of 87 are 1,3,29,87

Hope this helps =]

Answer:

Amy

ED

ED

ED

ED

Step-by-step explanation:

Answer:

x<5

Step-by-step explanation:

−2(x−7)>4

Step 1: Simplify both sides of the inequality.

−2x+14>4

Step 2: Subtract 14 from both sides.

−2x+14−14>4−14

−2x>−10

Step 3: Divide both sides by -2.

−2x ÷ −2 > −10 ÷ −2

x<5

Answer:Alkali metals - s block; one valence electron; lose one valence electron; charge of an ion +1

Step-by-step explanation:

Alkali metals have electronegativity from 0.7 to 1, lowest in Periodic table of elements, which means that alkali metals (I group in Periodic table) has positive oxidation number in compounds.

Electronegativity is a chemical property that describes the tendency of an atom to attract a shared pair of electrons towards itself.

For example, sodium (Na) is an element with atomic number 11 and it has one valence electron (3s¹) like all alkaline metals.

Electron configuration of sodium atom: ₁₁Na 1s² 2s² 2p⁶ 3s¹.

2) Alkaline earth metals - s block; two valence electrons; lose two electrons; charge of an ion is +2.

Beryllium, magnesium,calcium and strontium are alkaline earth metals. The elements have very similar properties. Alkaline earth metals have in common an outer s- electron shell (two electrons).

For example, atomic number of calcium is 20, it means that it has 20 protons and 20 electrons, so atom of calcium is neutral.

Electron configuration of calcium atom: ₂₀Ca 1s² 2s² 2p⁶ 3s² 3p⁶ 4s²; calcium has two valence electrons (4s²).

3) Boron group - p block; three valence electrons; lose three electrons; charge of metal ions is +3; no nonmetals in this group; none.

For example, boron is an element with atomic number 5, which means it has 5 protons and 5 electrons, bcause atom has neutral charge.

Electron configuration of boron: ₅B: 1s² 2s² 2p¹, it has three valence electrons in 2s and 2p orbitals.

Atomic number is the number of protons, which is characteristic of a chemical element.

4) Carbon group - p block; four valence electrons; lose two or four electrons; charge of metal ions is +2 or +4; nonmetals gain four electrons; charge of nonmetals is -4.

Carbon (C), silicon (Si), germanium (Ge), tin (Sn), lead (Pb) and flerovium (Fl) are in group 14 of Periodic table. They have same number of valence electrons (four) and similar chemical properties.

For example, carbon is a chemical element with symbol C and atomic number 6, which means it has 6 protons and six electrons. Valence electrons are in 2s and 2p orbitals.

Electron configuration of carbon atom: ₆C 1s² 2s² 2p².

5) Nitrogen group - p block;  five valence electrons; lose three or five electrons; charge of metal ions is +3 or +5; nonmetals gain three electrons; charge of nonmetals is -3.

Nitrogen (N), phosphorus (P), arsenic (As), antimony (Sb), bismuth (Bi) and moscovium (Mc) are in group 15 of Periodic table. They have same number of valence electrons (five).

For example, bizmuth (Bi) has atomic number 83, it has 83 protons and 83 electrons. Valence electrons are in 6s and 6p orbitals.

Electron configuration of bizmuth atom: ₈₃Bi [Xe] 4f¹⁴ 5d¹⁰ 6s² 6p³.

6) Oxygen group - p block;  six valence electrons; lose four or six electrons; charge of metal ions is +4 or +6; nonmetals gain two electrons; charge of nonmetals is -2.

Oxygen (O), sulfur (S), selenium (Se), tellurium (Te) and the radioactive element polonium (Po) are in group 16 of Periodic table. They have same number of valence electrons (six).

For example, electron configuration of oxygen atom: ₈O 1s² 2s² 2p⁴.  

Oxygen atom has six valence electrons (2s² 2p⁴), so it is in 16 group of Periodic table of elements.  

7) Halogens - p block; seven valence electrons; nonmetals gain one electron; charge of nonmetals is -1.

Halogen elements are in group 17: fluorine (F), chlorine (Cl), bromine (Br) and iodine (I). They are very reactive and easily form many compounds.

Halogens need to gain one electron to have electron cofiguration like next to it noble gas.

For example, fluorine has 9 electrons and it gain easily one electron in chemical reaction to have electron configuration like noble gas neon (Ne) with 10 electrons.

Electron configuration of fluorine: ₉F 1s² 2s² 2p⁵.

8) Noble gases - p block; eight valence electrons (except helium with two valence electrons); do not gain or lose electrons; none.

Noble gases (group 18) are in group 18: helium (He), neon (Ne), argon (Ar), krypton (Kr), xenon (Xe) and radon (Rn). They have very low chemical reactivity.  

Noble gases have very stable electron configuration and does not need to gain electrons, only when they gain energy .

Helium has atomic number 2, it has 2 protons and 2 electrons.

Electron configuration of helium atom: ₂He 1s².

Electron configuration of krypton atom:  

₃₆Kr 1s² 2s² 2p⁶ 3s² 3p⁶ 3d¹⁰ 4s² 4p⁶.

Answer:

20.76 ✨

hope that helped!!!!

Answer:

i think it's $60.68

Step-by-step explanation:

if I'm wrong plz correct me

Answer:

y= mx+ b

y = 4/2x - 2

Step-by-step explanation:

mark me brainlist pls im first

Answer:

segments EA and DG

Step-by-step explanation:

A diameter is when a line segment crosses the center of the circle and its endpoints lie on the circle. Both segments EA and DG satisfy the definition of a diameter.

Answer:

EA and DG

Step-by-step explanation:

For it to be a diameter, it has to pass through the center (point H) and touch both sides of the circle.

The ones that work for that are EA and DG

Answer:

The length of the garage on the drawing is 22 cm

Step-by-step explanation:

The scale of the scale drawing = 11 centimeters: 5 meters

The actual length of the garage = 10 meters

The length of the garage in the drawing is found as follows;

5 meters = 500 centimeters

10 meters = 1,000 centimeter

Therefore, the scale of the drawing = 11 cm : 5 m = 11 cm : 500 cm

Let 'a' represent the length of the garage on the drawing, we have;

a : 1,000 cm = 11 cm : 500 cm

Therefore;

[tex]\dfrac{a}{1,000 \ cm} = \dfrac{11 \ cm}{500 \ cm}[/tex]

[tex]a= 1,000 \ cm \times \dfrac{11 \ cm}{500 \ cm} = 2 \ cm \times 11 = 22 \, cm[/tex]

The length of the garage on the drawing, a = 22 cm.

Answer:

6i+9j-15k

Step-by-step explanation:

multiply every thing by 3

Answer:

180-149=31

119+31+x=180

150+x=180

x=180-150

x=30

× is a variable for angle 1, so angle 1 is 30

Answer:

h/8 hope it helps youuuuuuuuu

Answer: 13

Step-by-step explanation:

Given

there are 4 sandwiches that each measures 12 inches

If they were cut into

[tex]3\ \dfrac{2}{3}\ in.=\dfrac{3\times 3+2}{3}=\dfrac{11}{3}\ in.[/tex]

Now, it becomes

[tex]\Rightarrow \text{No of sandwiches}=\dfrac{4\times 12}{\frac{11}{3}}=\dfrac{4\times 12\times 3}{11}=13.09\approx 13[/tex]

Now, there are 13 sandwiches