rationalising factor of 5 +root 7

Answer:

D

Step-by-step explanation:

7.17 x 10(4) = 71,700

8.17 x 10(5) = 817,000

Any numbers between 71,700 and 817,000 is obv the answer

I did the math

A 69,200

B 7,200,000,000

C 7,570

D 80,530

Pretty obv that D be the only one that is inbetween 71,700-817,000

(excuse my spelling pls)

C. 270

Hope this helps! :)

Answer:

A.)90 degrees

Step-by-step explanation:

Answer:

the answer choices oh uhm I think i

Answer:

i think its yz but not sure

Step-by-step explanation:

Answer:

Step-by-step explanation:

1) Vertically opposite angles are equal.

x + 30 = 180 - 2x

Add '2x' to both sides

x + 30  +2x = 180

3x + 30 = 180

Subtract 30 from both sides

3x = 180 - 30

3x = 150

 x = 150/3

x = 50

2)  Let the angle be x

It's complement angle = 90 - x

[tex]x = \frac{2}{3}(90-x)\\\\x = \frac{2}{3}*90 - \frac{2}{3}*x\\\\x =2*30 - \frac{2}{3}x\\\\x +\frac{2}{3}x = 60\\\\\frac{3}{3}x+\frac{2}{3}x=60\\\\\frac{5}{3}x =60\\\\x = 60*\frac{3}{5}\\\\x = 12*3\\x = 36[/tex]

The angles are : 36 , 54

3) Let the angle be x

It's supplement = 180 - x

[tex]x = \frac{1}{5}(180-x)\\\\x =\frac{1}{5}*180 - \frac{1}{5}x\\\\x + \frac{1}{5}x= 36\\\\\frac{5}{5}x +\frac{1}{5}x = 36\\\\\frac{6}{5}x = 36\\\\x = 36*\frac{5}{6}\\\\x = 6*5 = 30\\[/tex]

Angles are  30 , 150

4) Ratio = 7 : 3

The angles are = 7x , 3x

7x + 3x = 180

10x = 180

x = 180/10

x = 18

7x = 7 * 18 = 126

3x = 3 * 18 = 54

Angles are 126 , 54

1. Intersecting lines are lines that cross each other. When two lines intersect, the opposite angles are equal.

Given: x + 30° and 180° - 2x are vertically opposite angles

⇒   x + 30° = 180° - 2x

⇒   3x = 150°

⇒   x = 50°

2. Let the complement be : C

Given : The other angle is two third of its complement

[tex]\sf{\implies Other \ angle = \dfrac{2}{3} \times C}[/tex]

Two angles are said to be Complementary if their sum is equal to 90°

[tex]\sf{\implies C + \dfrac{2C}{3} = 90}[/tex]

[tex]\sf{\implies \dfrac{5C}{3} = 90}[/tex]

[tex]\sf{\implies 5C = 270}[/tex]

[tex]\sf{\implies C = 54}[/tex]

[tex]\sf{\implies Other \ angle = \bigg(\dfrac{2}{3} \times C\bigg) = \bigg(\dfrac{2}{3} \times 54\bigg) = 36 }[/tex]

Answer: The size of the angle which is two third of its complement is 36°

3. Let the supplement be : S

Given : The other angle is one fifth of its supplement

[tex]\sf{\implies Other \ angle = \dfrac{1}{5} \times S}[/tex]

Two angles are said to be Supplementary if their sum is equal to 180°

[tex]\sf{\implies S + \dfrac{S}{5} = 180}[/tex]

[tex]\sf{\implies \dfrac{6S}{5} = 180}[/tex]

[tex]\sf{\implies 6S = 900}[/tex]

[tex]\sf{\implies S = 150}[/tex]

[tex]\sf{\implies Other \ angle = \bigg(\dfrac{1}{5} \times S\bigg) = \bigg(\dfrac{1}{5} \times 150\bigg) = 30 }[/tex]

Answer: The size of the angle which is one fifth of its supplement is 30°

4. Two supplementary angles are in the ratio 7 : 3

Let the supplementary angles be : 7S and 3S

Two angles are said to be Supplementary if their sum is equal to 180°

⇒   7S + 3S = 180°

⇒  10S = 180°

⇒   S = 18°

First Angle : 7S = (7 × 18) = 126°

Second Angle : 3S = (3 × 18) = 54°

Answer:

35º

Step-by-step explanation:

u = 180 - 145

u = 35

Answer:

A

Step-by-step explanation:

cos(71)x19=6.1

6.1 =6

Answer:

ladder is 20 feet long.So answer is option c.

Step-by-step explanation:

let the length of a ladder be x

take 71 degree as reference angle

using sin rule

sin 71 =opposite/hypotenuse

0.94=19/x

x=19/0.94

x=20.21

x=20 feet

Answer:

it is 32

Step-by-step explanation:

the answer is 32 it is the answer

Answer:

32

Step-by-step explanation:

20% of 40 is 8

so 40-8=32

Answer:

Step-by-step explanation:

take 50 degree as reference angle

using sin rule

sin 50 = opposite/hypotenuse

0.766 = x /3

0.766*3 = x

2.298 = x

2.30  = x

Step-by-step explanation:

a) Since there are 2 #1 in the spinner, the probability of landing on a 1 is 2/8 or 1/4

b) Since there is only one #2, the probability is only 1/8.

c) Probability of landing on #3 is 2/8 or 1/4.

d) Probability of landing on a #4 is 1/8

e) Just like the case of #1 & #3, there are 2 chances out of eight that it will land on a #5 so the probability is 2/8 or 1/4

[tex]\longrightarrow{\green{\frac{5}{6}}}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex] \frac{1}{2} + \frac{1}{3} [/tex]

Since the denominators are unequal, we find the L.C.M (lowest common multiple) for both denominators.

The L. C. M for 2 and 3 is 6.

Now, multiply the L.C.M. with both numerator & denominator.

[tex] = \frac{1 \times 3}{2 \times 3} + \frac{1 \times 2}{3 \times 2} [/tex]

[tex]= \frac{3}{6} + \frac{2}{6} [/tex]

Now that the denominators are equal, we can add them.

[tex]= \frac{3 + 2}{6} \\ \\ = \frac{5}{6} [/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}[/tex]

Answer:

The Coordinates of Point C are C(5,2)

The slope of CD is 3

The possible coordinates of point D(a,b) are (6, 5) and (4, -1)

Step-by-step explanation:

According to the Question,

Now, Let The Coordinates of Point C are C( x , y ) .

        The Coordinates of Point C are C( x , y ) =  [tex]\frac{(10)}{2} , \frac{(4)}{2}[/tex] ⇒C(5, 2).

       Thus, The slope of CD is [tex]\frac{-1}{The slope of AB}[/tex]  =  [tex]\frac{-1}{\frac{-1}{3} }[/tex]  ⇔  3.

       ⇒ √{ (b - 2)² +(a - 5)² } = √10

      on squaring both sides we get,

       ⇒ a² - 10a + 25 + b² - 4b + 4 = 10

       ⇒ a² + b² - 10a - 4b = - 19 ⇔⇔ (Equation 1)

     ⇒Thus,  (b - 2)/(a - 5) = 3

     ⇒ b - 2 = 3a - 15

     ⇒ b = 3a - 13 ⇔⇔ (Equation 2)

 ⇒a² + (3a - 13)² - 10a - 4(3a - 13) = - 19

 ⇒a² + 9a² - 78a + 169 - 10a - 12a + 52 = - 19

 ⇒10a² - 100a + 240 = 0

 ⇒a² - 10a + 24 = 0

 ⇒(a - 4)(a - 6) = 0

 ⇒a = 4 or a = 6

Now,

Therefore, the possible coordinates of point D(a,b) are (6, 5) and (4, -1).

Answer:

the number is 2

Step-by-step explanation:

5x2=10+9=19

Answer:

yes

Step-by-step explanation:

Answer:

The answer is h(x)=(1/4)x

Step-by-step explanation:

900Answer:900

Step-by-step explanation:

Answer:

The missing parts of the proof includes;

1) ∠ABC = m∠CBD + m∠ABD = 90° (Angle addition postulate)

2) m∠CBD = m∠ABD (Definition of angle bisector)

3) m∠CBD + m∠ABD  = m∠CBD + m∠CBD (Substitution property of equality)

Step-by-step explanation:

The given details of the proof are;

∠ABC is a right angle = 90°

Line DB is a bisector of ∠ABC

Therefore;

1) ∠ABC = m∠CBD + m∠ABD = 90° by angle addition postulate

By the definition of angle bisector, we have;

The angles formed by line DB from ∠ABC are equal,

2) m∠CBD = m∠ABD by the definition of angle bisector

3) m∠CBD + m∠ABD = 90° = m∠CBD + m∠CBD = 2 × m∠CBD by substitution property of equality

2 × m∠CBD = 90°

∴ m∠CBD = 90°/2 = 45°

Answer:

A: Given

B: measure the angle ABC = 90

C: angle addition postulate

D: 2 times the measure of angle CBD = 90

Step-by-step explanation:

Hope this helps <3

Answer:

The independent variable (IV) is the depths at the Altantic Ocean and the dependent variable (DV) is the water temperatures.

Step-by-step explanation:

The IV is what is changed between the groups of the study.

The DV is what is being measured for the groups.

You can say that the DV depends on the IV because changes and differences in the DV depends on the changes for the IV.

I hope this helps! :)

Answer:

16/49

Step-by-step explanation:

2/ 7÷ 7/8

Copy dot flip

2/7 * 8/7

Multiply the numerators

2*8 =16

Multiply the denominators

7*7 = 49

numerator over denominator

16/49

Answer:

[tex]\frac{16}{49}[/tex]

Step-by-step explanation:

Answer:

They are not similar

Step-by-step explanation:

Angles dont match

Write the additive inverse of [tex]\frac{ - 1}{3} [/tex].

➼ The additive inverse of [tex] \frac{ - 1}{3} [/tex] is [tex]\frac{+ 1}{3} [/tex].

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

210 IS THE POSSIBLE ANSWER

Answer:

B

Step-by-step explanation:

In fact in this case there is only a value of y when x is equal to 0

The total of the two cars is 0.46 + 0.34 = 0.8

The total of all probabilities needs to equal 1

The probability of not buying either car is 1 - the sum of the two probabilities

1-0.8 = 0.20

The probability of not buying either car is 0.20

Answer:

$22.50

Step-by-step explanation:

Answer:

$95 is the markup

Step-by-step explanation:

Add 45+50=95

0Answer:

Angle PTR is 136*

Step-by-step explanation:

In Question, We Have Given

Line PS and RS are Two Tangent To Circle With Centre T & ∠PSR=44* .

Thus ∠SPT=90* & ∠SRT=90* (Property Of Tangent ↔ Tangent always Form 90* With Radius Of Circle)  

Now We Have A Quadrilateral SPTR & The Sum Of All Angle Of Quadrilateral is 360* .

Thus The Angle Of PTR is

∠PTR = 360* - ( 90*+90*+44*)

∠PTR = 360* - 224*

∠PTR = 136*

Diagram, Please Find In Attachment

Answer:

38

Step-by-step explanation:

triangle