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Answer:

3 < x < 7

Step-by-step explanation:

From the diagram; |AB| = |AC|

The length AB is calculated as;

[tex]Sin\ 52^o = \frac{|BD|}{|AB|} \\\\|AB| = \frac{|BD|}{Sin\ 52^o} \\\\|AB| = \frac{12}{Sin\ 52^o} \\\\|AB| =15.228 \ m[/tex]

The length CD is calculated as;

[tex]Sin \ 31^o = \frac{|CD|}{|AC|} \\\\|CD| = |AC| \ \times \ Sin \ 31^o \\\\|CD| = 15.228 \ \times \ 0.515\\\\|CD| = 7.84[/tex]

|CD| = 2x - 6

2x - 6  = 7.84

2x = 7.84 + 6

2x = 13.84

x = 13.84 / 2

x = 6.92

x ≅ 7

Thus, 3 < x < 7

Answer: The blue whale's weight is 150 times heavier than the narwhal's weight.

Step-by-step explanation:

Given: Weight of Blue whale = [tex]3\times10^5\text{ pounds}[/tex]

Weight of Narwhal = [tex]2\times10^3\text{ pounds}[/tex]

Number of times blue whale's weight  is heavier than the narwhal's weight = [tex]=\dfrac{\text{Weight of Blue whale}}{\text{Weight of Narwhal }}[/tex]

[tex]=\dfrac{3\times10^5}{2\times10^3}\\\\=1.5\times10^{5-3}\ \ \ [\dfrac{a^m}{a^n}=a^{m-n}]\\\\=1.5\times10^2\\\\=1.5\times100=150[/tex]

Hence, the blue whale's weight is 150 times heavier than the narwhal's weight.

Answer: The equation for line b is [tex]y = -\frac{3}{4}x + 5[/tex]

The equation for line t is [tex]y= \frac{4}{3} x+5[/tex]

The attachment shows the original line in green, the parallel line b in red, and the perpendicular line t in blue.

Step-by-step explanation: Use slope intercept form, y = mx + b

The given coordinate, (0,5) is on the y-axis, so  5 will be the y-intercept of the equation. Keep the slope of the original equation and substitute the new value for "b"  

To write the equation for line t

Both lines share the y-intercept, (0,5) so the "b" term will be the same. The slope of a perpendicular line is the reciprocal of the original slope with the opposite sign.

So invert 3/4 to become 4/3 and change the negative sign to positive.

The resulting equation is y = 4x/3 + 5

Answer: y = 0.5x + 2.5

I took the test and got it right

Answer: y = 0.5x + 2.5

Step-by-step explanation: look at picture VVV VVV VVV

Answer:

[tex]Diameter = 11.28[/tex]cm  --- (a)

[tex]Diameter =22.58[/tex] cm  --- (c)

Step-by-step explanation:

Only (a) & (c) are clear enough to be solved. Others are not properly presented.

Use the following explanations of (a) & (c) to answer others.

[tex]a.\ Area = 100cm^2[/tex]

Area is calculated as:

[tex]Area = \pi r^2[/tex]

Substitute 100 for Area

[tex]100 = \pi r^2[/tex]

Take π as 3.14. So, the expression become

[tex]100 = 3.14 r^2[/tex]

Divide both sides by 3.14

[tex]\frac{100}{3.14} = \frac{3.14 r^2}{3.14}[/tex]

[tex]\frac{100}{3.14} = r^2[/tex]

[tex]r^2 = \frac{100}{3.14}[/tex]

[tex]r^2 = 31.847133758[/tex]

Solve for r

[tex]r = \sqrt{31.847133758[/tex]

[tex]r = 5.64[/tex]

But diameter = 2 * radius

So:

[tex]Diameter = 2 * 5.64[/tex]

[tex]Diameter = 11.28[/tex]

[tex]a.\ Area = 400cm^2[/tex]

Area is calculated as:

[tex]Area = \pi r^2[/tex]

Substitute 400 for Area

[tex]400 = \pi r^2[/tex]

[tex]400 = 3.14 r^2[/tex]

Divide both sides by 3.14

[tex]\frac{400}{3.14} = \frac{3.14 r^2}{3.14}[/tex]

[tex]\frac{400}{3.14} = r^2[/tex]

[tex]r^2 = \frac{100}{3.14}[/tex]

[tex]r^2 = 127.388535032[/tex]

Solve for r

[tex]r = \sqrt{127.388535032[/tex]

[tex]r = 11.29[/tex]

But diameter = 2 * radius

So:

[tex]Diameter = 2 * 11.29[/tex]

[tex]Diameter =22,58[/tex]

Answer:

Step-by-step explanation:

Given points:

Ratio of partitioning:

Use of formula:

Substitute values:

Answer:

plz mark me brainlist

Step-by-step explanation:

1206 is right answer

Answer:

The answer is approxiamately 1206

Step-by-step explanation:

377/5=75.4

75.4x16=1206.4

1206.4 is approxiamately 1206

Answer:

Split the equation into two equations:

4x - 3 ≤ 7

or

-(4x - 3) ≤ 7

The overall solution is the combination of the two individual solutions.

Answer:

Exterior Angle 1 (2x-10): 140 degrees

Exterior Angle 2 (x+25): 130 degrees

Exterior Angle 3 (right angle): 90 degrees

Step-by-step explanation:

Givens:

Angle 3 = 90 degrees

Angle 1 + Angle 2 + Angle 3 = 180 degrees

Angle 1/2/3 + exterior angle = 180 degrees -> 180 - Angle1/2/3 = exterior angle

Step 1: Solving for x.

1. Using the first equation above, substitute the angles.

(2x-10) + (x+25) + 90 = 180

2. Combine like terms.

3x + 105 = 180

3. Solve for x.

3x = 75

x = 25

Step 2: Solving for angle 1 and 2.

Plug 25 in for x for both angles

Angle 1:

(2(25)-10) = 40 degrees

Angle 2:

((25)+25) = 50 degrees

Step 3: Solving for exterior angles.

Plug in the knowns to the second equation above and solve.

Angle 1:

180 - 40 = 140 degrees

Angle 2:

180 - 50 = 130 degrees

Angle 3:

180 - 90 = 90 degrees

I hope this helps!

Answer:

x=25

Step-by-step explanation:

90+2x-1-+x+25=180

3x+105=180

    -105 -105

3x/3=25/3

Meaning x=25

Answer:

r = 5:8

Step-by-step explanation:

5 pound to 8 people

y=1-i

x=-3/2-i/2

thats what it should be

Answer:

B

Step-by-step explanation:

when you solve B you get 15 and for all the other ones you get a non-terminating decimal

Answer:

drag  10 to the

Step-by-step explanation:

Answer:

In order from left to right (each slash will be one line on the number line.)

Step-by-step explanation:

-10   -9            -7           -5      -4                -2           0

/____/___/___/__/___/____/___/_____/__/___/

Answer:

33 days

Step-by-step explanation:

15 + 18 = 33

Answer:

He will do 75 Knee lifts

Step-by-step explanation:

Every minute, he does 25 knee lifts.

We know this by dividing 50 and 2 which is 25

We multiply by three after because he is doing knee lifts for three minutes.

25 x 3 = 75

for the first one it is the second option because of one property of logarithms:

log(a)-log(b)=log[tex]\frac{a}{b}[/tex]

for the second one using the same property we can say that we third option is correct and not the second one but we use one more property of the logarithm

loga(b)^x=xloga(b) the power of the logarithm becomes a fator and [tex]\sqrt[3]{x}[/tex] is equal to [tex]x^{\frac{1}{3}}[/tex]

lets the length be 3x

width be 5x

perimeter = 48

so

3x +5x=48

8x = 48

x =48/8

x= 6

so.

3x = 3×6 = 18

5x = 5×6= 30

hope it will be helpful

Answer:

An angle is formed when two rays share a common endpoint.

Step-by-step explanation:

When two rays share a common endpoint they form A) an angle and the common endpoint is called the vertex.

A line has three subsets one is the line itself which can extend in both directions, the Second one is a ray which has one initial point and can extend only in another direction and lastly a line segment which has two endpoints.

We know that a ray has one initial point and it can extend indefinitely in another direction denoted by an arrow.

We also know that an angle is formed when two lines have one common point called the vertex. The measure of an angle is described by the amount of rotational distance it covered from the initial ray and the other ray.

learn more about angles here :

https://brainly.com/question/2882938

#SPJ1

Answer:

Each box weighs 0.18 kilogram.

Step-by-step explanation:

We can do proportions to solve.

[tex] \frac{1.29 \: kilograms}{7 \: boxes} = \frac{x}{1 \: box} \\ \\ \frac{7x}{7} = \frac{1.29}{7} \\ \\ x = 0.18 \\ x = 0.18 \: kilogram[/tex]

Answer:

Slope: 3

Y-intercept: -1

Linear equation: y=3x-1

Answer:

What is the x and y coordinate of (3,4)

Answer:

The chef bought 4.5 kg of beans

Step-by-step explanation:

1.5 x 3 = 4.5

4.5 kg

Answer:

B. The deposit increases by 3% of its current value, compounded monthly.

Step-by-step explanation:

When compounded monthly that means the account is getting more money monthly rather than annually, or each year, so this answer choice would give the best benefit to the account holder. I did this problem on Khan Academy myself and this was the correct answer.

Answer:

Answer: B. The deposit increases by 3% of its current value, compounded monthly.

Step-by-step explanation: When compounded monthly that means the account is getting more money monthly rather than annually, or each year, so this answer choice would give the best benefit to the account holder. I did this problem on Khan Academy myself and this was the correct answer.

Answer:

2y+18-3x

Step-by-step explanation:

Answer:

2y +18 -3x

Step-by-step explanation:

-5y +7y +18 -3x

-5y -5y            

2y +18 -3x