Answer:
Therefore, lowest rationalizing factor is ( 7 + √7 ).
Step-by-step explanation:
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100%sure
Answer:
5 - [tex]\sqrt{7}[/tex]
Step-by-step explanation:
To rationalise the factor multiply by the conjugate factor
The conjugate of 5 + [tex]\sqrt{7}[/tex] is 5 - [tex]\sqrt{7}[/tex] , then
(5 + [tex]\sqrt{7}[/tex] )(5 - [tex]\sqrt{7}[/tex] ) ← expand using FOIL
= 5² - ([tex]\sqrt{7}[/tex] )²
= 25 - 7
= 18
ILL GIVE BRAINLIEST!!
Pam is looking for a new car. She has test-driven two cars but can only purchase one. The probability that she will purchase car A is 0.46, and the probability that she will purchase car B is 0.34. What is the probability that she will not purchase either car A or car B? (1 point)
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
Which represents the inverse of the function f(x) = 4x?
h(x) = x + 4
h(x) = X -4
h(x) = 3/4x
h(x) = 1/4x
Answer:
The answer is h(x)=(1/4)x
Step-by-step explanation:
The relation defined by the set of ordered pairs {(0,2), (-2,2), (1,4), (0,-1)} is not a
function. Which of the ordered pairs listed below, if omitted from this relation, will make
the resulting set a function.
A) (4,1)
B) (0,-1)
C) (1,4)
D) (-2,2)
Answer:
B
Step-by-step explanation:
In fact in this case there is only a value of y when x is equal to 0
Write the additive inverse of -1/3
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]
Help me to do this question
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°
When 9 is added to five times a number, we get 19. The number is
Answer:
the number is 2
Step-by-step explanation:
5x2=10+9=19
Find the missing measurement in this parallelogram.
Can someone please help?????
I must show the work
Answer:
35º
Step-by-step explanation:
u = 180 - 145
u = 35
The coordinates of AB are A(2,3) and B(8,1) The perpendicular bisected of AB is CD and point C lies on AB the length of CD is 10 units
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,
Given, The end points of AB are A(2,3) and B(8,1). The perpendicular Bisector of AB is CD, and point C lies on AB. The length of the CD is √10 units.Now, Let The Coordinates of Point C are C( x , y ) .
Thus, C( x , y ) = [tex]\frac{(8+2)}{2} , \frac{(1+3)}{2}[/tex]The Coordinates of Point C are C( x , y ) = [tex]\frac{(10)}{2} , \frac{(4)}{2}[/tex] ⇒C(5, 2).
And, The slope of AB = [tex]\frac{(1-3)}{(8-2)}[/tex] ⇒ [tex]\frac{-2}{6}[/tex] ⇔ [tex]\frac{-1}{3}[/tex] .Thus, The slope of CD is [tex]\frac{-1}{The slope of AB}[/tex] = [tex]\frac{-1}{\frac{-1}{3} }[/tex] ⇔ 3.
Let the coordinate of D be (a, b) then⇒ √{ (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)
We Know, the slope of CD = 3⇒Thus, (b - 2)/(a - 5) = 3
⇒ b - 2 = 3a - 15
⇒ b = 3a - 13 ⇔⇔ (Equation 2)
Putting value of Equation 2 into Equation 1, We get⇒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,
When a = 4 , b = 3(4) - 13 ⇒ 12 - 13 ⇒ b = -1When a = 6, b = 3(6) - 13 ⇒ 18 - 13 ⇒ b = 5Therefore, the possible coordinates of point D(a,b) are (6, 5) and (4, -1).
A toy store's percent of markup is 45%. A model train costs the store $50. Find the
markup.
Answer:
$22.50
Step-by-step explanation:
Answer:
$95 is the markup
Step-by-step explanation:
Add 45+50=95
answer plz plz plz plz plz
C. 270
Hope this helps! :)
Answer:
A.)90 degrees
Step-by-step explanation:
Pls help not sure how to answer
Answer:
i think its yz but not sure
Step-by-step explanation:
its urgent please help ASAP ty!!
Answer:
the answer choices oh uhm I think i
work out 2/7 divided 7/8
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:
square root of 44,100 by division
210 IS THE POSSIBLE ANSWER
Can someone please help me? need this done ASAP!!!!
Answer:
They are not similar
Step-by-step explanation:
Angles dont match
Which number is between
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)
What’s 1/2 + 1/3? Y’all please help me . And when or if you can give me the answer can you do step-by-step on how you did that so I can do it myself next time?
[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]
Evaluate (-362) + 9 ÷ 10
Identify the missing parts in the proof.
Given: ∠ABC is a right angle.
DB bisects ∠ABC.
Prove: m∠CBD = 45°
A:
B:
C:
D:
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
The table shows the height of water in a pool as it is
being filled
The slope of the line through the points is 2. Which
statement describes how the slope relates to the height
of the water in the pool?
Height of Water in a Pool
Time
(min)
AN
Height
(in.)
8
12
16
20
24
o The height of the water increases 2 inches per
minute.
o The height of the water decreases 2 inches per
minute
O The height of the water was 2 inches before any
water was added
O The height of the water will be 2 inches when the
pool is filled
6
8
10
900Answer:900
Step-by-step explanation:
Allison measured her rectangular deck and found that it has dimensions of 5 1/2 yards by 8 yards. Both the length and the width may have a measurement error of up to 1/5%. What is the maximum possible area of Allison’s deck, rounded to the nearest thousandth of a square yard?
Answer:
yes
Step-by-step explanation:
What is the missing side length in the triangle?
NEED HELP ASAP !!!! SOMEONE HELP ME
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 have to be units please and thank you
Determine whether segments with lengths of 27, 28, and 7 form a triangle. If so, classify the triangle as acute, right, or obtuse,
HELP!!! please
Answer:
38
Step-by-step explanation:
triangle
A group of oceanographers measured the water temperature of the Atlantic Ocean at various depths and found that the temperature is different. Which of the objects are the independent variable and which is the dependent variable?
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! :)
I need help with basic geometry please help !
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
Circle T is shown. Line PS and line RS are tangent to circle T. What is the measure, in degrees, of angle PTR
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
help help me please!!!
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
PLEASE HELP ME PLS U WOULD BE A LIFE SAVER AND ILL GIVE U BRAINLY PLS
In a game of chance, players spin a pointer on the spinner with eight equal-sized sections.
The sample space is 1,1,2,3,3,4,5,5
What are the probabilities of each outcome in the sample space? ( write each answer in fraction form) p.s the answer is supposed to be more than one fraction.
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
