Given two consecutive integers whose sum is 92, find the larger of the two integers.

Answer:

KM = 10.68

K = 55 degrees

M = 35 degrees

Step-by-step explanation:

Firstly, we can use Pythagoras’ theorem to calculate the length of the hypotenuse which is KM

Mathematically, this is the sum of the squares of the two other sides KL and LM according to Pythagoras’ theorem

Thus, we have it that;

KM^2 = KL^2 + LM^2

KM^2 = 6.2^2 + 8.7^2

KM^2 = 114.13

KM = √(114.13)

KM = 10.68

We have two angles to calculate

Let us start with the angle at vertex K

The opposite side to is is the length LM which is 8.7

The adjacent side to it is the length 6.2

Mathematically, the relationship between the two can be calculated using the Tan ; as the Tan of an angle is the ratio of the length of the opposite to that of the adjacent

thus;

Tan K = 8.7/6.2

K = arc Tan (8.7/6.2)

K = 54.5 which is 55 degrees

since we have a right angle , we only have to subtract he measure of angle K from 90 to get the measure of M

M = 90-55 = 35 degrees

Answer:

The answer is correct

Step-by-step explanation:

3(x + 4) + 2 = 2 + 5(x – 4)

3x + 12 + 2 = 2 + 5x - 20

3x + 14 = 5x - 18

-2x = -32

x = 16

Answer:

0.047619

P.S. do you need to round?

Answer:

[tex]\frac{1}{21}[/tex]

Step-by-step explanation:

Answer: [tex]25\ mph[/tex]

Step-by-step explanation:

Given

Jane took 3 hours

First she rode 48 miles with let say with [tex]x[/tex] mph

then she rode 15 miles with speed [tex](x+5)[/tex] mph

Equate the time in each ride and equate it to total time

[tex]\Rightarrow 3=\dfrac{48}{x}+\dfrac{15}{x+5}\\\\\Rightarrow 3x(x+5)=48(x+5)+15x\\\\\Rightarrow 3x^2+15x=48x+48\times 5+15x\\\\\Rightarrow 3x^2-48x-240=0\\\\\Rightarrow (x-20)(x+4)=0\\\\\text{Neglecting the negative value as speed cannot be negative}\\\\\Rightarrow x=20\ mph[/tex]

So, her along the summit is [tex]x+5=25\ mph[/tex]

Answer:

2 and 5 is the gcf and lcm is 360

Step-by-step explanation:

Answer:

GCF is 120 and LCM is 1440

Step-by-step explanation:

-To find the GCF, take a look at the orange section(the intersection) and multiply all the numbers in there. 2^3x3x5=120

-To find the LCM, multiply all the numbers in the entire venn diagram. 2^5x3^2x5=1440

The result shows that Brittany is faster than Natalie because she moved faster than her. Therefore, Brittany is (43.64 - 21.5) = 22.14mph faster than Natalie.

The average speed can be calculated by dividing the distance moved by the time taken. That is;

Average speed = Distance/time

According to this question, Brittany and Natalie start cycling together from their home to school, which is 14.4 miles away.

However, Natalie takes 40 minutes to reach school and Brittany reaches 20 minutes after Natalie.

First, we calculate the average speed of each individual as follows:

This shows that Brittany is faster than Natalie because she moved faster than her. Therefore, Brittany is (43.64 - 21.5) = 22.14mph.

Learn more about average speed at: https://brainly.com/question/12322912

#SPJ1

Answer:

6s - 300 > 210 is the answer.

Answer:

6 ≈ 27.78C

7 = 219.2F

8 = 20C

9 = 116.6F

Step-by-step explanation:

6. From the formula C/5 = (F-32)/9

     We get C/5 = (82-32)/9

     C = (50/9)*5

     C ≈ 27.78

7. From the formula C/5 = (F-32)/9

     We get 104/5 = (F-32)/9

     F-32 = 104/5 * 9

     F-32 = 187.2

     F = 219.2

8. From the formula C/5 = (F-32)/9

    We get C/5 = (68-32)/9

     C/5 = 36/9

     C/5 = 4

     C = 5 * 4

     C = 20

9. From the formula C/5 = (F-32)/9

    We get C/5 = (F-32)/9

     47/5 = (F-32)/9

     (47/5)*9 = (F-32)

     84.6 = F-32

     F = 84.6 + 32

     F = 116.6

Formula Used

Temperture Conversion

C/5 = (F-32)/9 = R/4 = (K-273)/5

C - Celcius, F - Fahrenheit, R - Rankine, K - Kelvin

Note

Please use the correct subject next time

6) 82°F to C°

Formula

(82°F − 32) × 5/9 = 27.78°C

82°F=27.78°C

7) 10°C to °F

Formula

(104°C × 9/5) + 32 =219.2°F

104°C =219.2°F

8) 68°F to C°

Formula

(68°F − 32) × 5/9 = 20°C

68°F=20°C

9) 47°C to °F

Formula

(47°C × 9/5) + 32 = 116.6°F

47°C =116.6°F

Answer:b

Step-by-step explanation:

Answer:

3 or 6/2

Step-by-step explanation:

4--2 (you add there is a subtraction of a negative) over or divided by 3-1

Answer:

[tex]slope = \frac{y2 - y1}{x2 - x1} \\ = \frac{4 - - 2}{3 - 1} \\ = \frac{6}{2} = 3 \\ thank \: you[/tex]

Answer:

[tex]12.2\text{ ft}[/tex]

Step-by-step explanation:

In any right triangles, the Pythagorean Theorem states that the sum of the squares of both legs is equal to the hypotenuse squared ([tex]a^2+b^2=c^2[/tex], where [tex]c[/tex] is the hypotenuse, or longest side).

In this case, the length we're solving for is the hypotenuse of the triangle and the two legs of the triangle are 7 and 10. Therefore, we have:

[tex]7^2+10^2=c^2,\\49+100=c^2,\\c^2=149,\\c=\sqrt{149},\\c\approx \boxed{12.2\text{ ft}}[/tex]

9514 1404 393

Answer:

  a) (1.75 +1.00d)/4 < (3.50 +1.50d)/5

  b) 3.70

Step-by-step explanation:

a) You want ...

   classic cost < XL cost

Using the given expressions for the costs, the inequality is ...

  (1.75 +1.00d)/4 < (3.50 +1.50d)/5

__

b) For a 10-mile ride, the XL cost is ...

  (3.50 +1.50(10))/5 = (3.50 +15.00)/5 = 18.50/5 = 3.70

Each passenger in a group of 5 friends pays $3.70 for the 10-mile ride.

_____

Additional comment

Each expression can be divided out to give ...

  classic cost per person = $0.4375 +0.25d

  XL cost per person = $0.70 +0.30d

Comparing these, we see there is no positive value of d that will make the XL cost per person be less than the classic cost per person. Both the initial fee and the per-mile cost are lower for the classic.

[tex] \tt \huge \leadsto \frac{ \sqrt{7} - \sqrt{3} }{ \sqrt{7} + \sqrt{3} } [/tex]

[tex] \tt \huge \leadsto \frac{ \sqrt{7} - \sqrt{3} }{ \sqrt{7} + \sqrt{3}} \times \frac{ \sqrt{7} - \sqrt{3} }{ \sqrt{7} - \sqrt{3} } [/tex]

[tex] \tt \huge \leadsto \frac{7 - 3}{ (\sqrt{7 })^{2} - ( \sqrt{3})^{2} } [/tex]

[tex] \tt \huge \leadsto \frac{4}{7 - 3} [/tex]

[tex] \tt \huge \leadsto\frac{4}{4} [/tex]

[tex]\tt\huge\leadsto{1}[/tex]

Answer:

Step-by-step explanation:

To rationalize the denominator multiply the numerator and denominator by the conjugate of √7 + √3 = √7- √3

[tex]\frac{\sqrt{7}-\sqrt{3}}{\sqrt{7}+\sqrt{3}}=\frac{(\sqrt{7}-\sqrt{3})(\sqrt{7}-\sqrt{3})}{(\sqrt{7}+\sqrt{3})(\sqrt{7}-\sqrt{3})}\\\\\\= \frac{(\sqrt{7}-\sqrt{3})^{2}}{(\sqrt{7})^{2}-(\sqrt{3})^{2}}\\\\\\= \frac{(\sqrt{7})^{2}-2*(\sqrt{7})*(\sqrt{3})+(\sqrt{3})^{2})}{7-3}\\\\=\frac{7-2\sqrt{21}+3}{4}\\\\=\frac{10-2\sqrt{21}}{4}\\\\=\frac{2(5-\sqrt{21})}{4}\\\\=\frac{5-\sqrt{21}}{2}[/tex]

Answer:

10 car are park is full djtbjekkjtitjejshd

Answer:

(B) 44 miles per hour

Step-by-step explanation:

We are given that

Speed, v1=50 miles/hr

Time, t1=7 hours

Average speed, v2=40 miles/hr

We have to find the average  speed per hour for the  round trip .

Distance traveled by automobile from one side

d1=[tex]v_1t=50\times 7=350[/tex]miles

d1=d2=350 miles

Total distance=d1+d2=350+350=700 miles

Now,

[tex]t2=\frac{d_2}{v_2}=\frac{350}{40}=8.75 hour[/tex]

Total time=t1+t2=7+8.75=15.75 hours

Now, average speed for the round tripe

=[tex]\frac{total\;distance}{total\;time}[/tex]

=[tex]\frac{700}{15.75}=44.4\approx 44[/tex]miles/hr

Hence, option (B) is correct.

Answer:

7

Step-by-step explanation:

We know that  x^a / x^b = x^ (a-b)

b^4 / b^ -3 = b^(4 - -3) = b^ (4+3) = b^7

The exponent for b is 7

Answer:

D

Step-by-step explanation:

Answer:

42-15=4x+5x

27=9x

27/9=x

x=3

Step-by-step explanation:

Answer:

6. 72

Step-by-step explanation:

[tex] \sqrt{45} \\ = \sqrt{9 \times 5} \\ = \sqrt{9 } \times \sqrt{5} \\ = 3 \sqrt{5} [/tex]

[tex] \sqrt{5} = 2.24 \\ \implies \: 3 \sqrt{5} = 3 \times 2.24 \\ = 6.72[/tex]

Answer:

[tex]3\sqrt{5}[/tex]

Step-by-step explanation:

45 = 9 * 5 = [tex]\sqrt{3 * 3 * 5}[/tex]

Answer:

3m -5

Step-by-step explanation:

3(m - 3) + 4

Distribute

3m -9 +4

Combine like terms

3m -5

Answer:

3m - 5

Step-by-step explanation:

3(m - 3) + 4

3m - 9 + 4

3m - 5

i think B is the right answer

Answer:

B .              g(x) = x + 8

Step-by-step explanation:

Write the equation of a function whose parent function, f(x) = x + 5, is shifted 3 units to the right.

g(x) = x + 3

g(x) = x + 8

g(x) = x − 8

g(x) = x + 2

Its B if this is what your test is on .

Answer:

[tex]\sqrt{203}[/tex]

Step-by-step explanation:

1. [tex]11^{2} + b^{2} = 18^{2}[/tex]

2. [tex]b^{2} =203[/tex]

3. b = [tex]\sqrt{203}[/tex]

Can't be simplified.

Answer 16

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Ella has two 8 feet long boards, so in total, she has 16 feet of the boards.

Convert these 16 feet to inches. There are 12 inches in a foot, so multiply 16 by 12:

16(12)

= 192

So, there are 192 inches in the boards. Divide this by 15 to see how many 15 inch pieces she can cut:

192/15

= 12.8

We can only have a whole number answer, because the boards need to be a full 15 inches. So, round this down:

= 12

Ella can cut twelve 15 inch pieces.

Answer:    The answer is letter A.  0.1s...... I think

-16t^2 + 50t + 3.5= 0

Step-by-step explanation:  The answer is either letter A or letter B

Question

Use the vertical motion formula h=-16 t^{2}+v t+ch=−16t  

2

+vt+c. A soccer ball is kicked with a starting upward velocity of 50 ft/s from a starting height of 3.5 ft. Substitute the values into the vertical motion formula Let h = 0.

Explanation

Step 1

1 of 2

The starting velocity is 50 ft/s ,when the ball is 3.5 ft high

So, v=50v=50 , h=3.5h=3.5 , t=0t=0

\begin{align*} h&=-16t^2+vt+c &&\text{{\color{#c34632}The vertical motion formula}}\\\\ 3.5&=-16(0)^2+50(0)+c &&\text{{\color{#c34632}Substitute 3.5 for $h$ , 50 for $v$ , 0 for $t$}}\\\\ c&=3.5 &&\text{{\color{#c34632}Simplify}}\\\\ \end{align*}

h

3.5

c

​

=−16t  

2

+vt+c

=−16(0)  

2

+50(0)+c

=3.5

​

​

The vertical motion formula

Substitute 3.5 for h , 50 for v , 0 for t

Simplify

​

So, the vertical motion formula will be

h= -16t^2 + 50t + 3.5

Let h= 0

                                     -16t^2 + 50t + 3.5= 0

Answer:



Step-by-step explanation:

I think the Answer is option a.one

correct me if I am wrong

This should be the answer

Answer:

She's, "HOT"!

Step-by-step explanation:

Step-by-step explanation:

E = mc^2

E is Energy

M is Mass

C is Speed of light

This is Albert Einstein's General theory of relativity.

According to The principle of homogeneity,

E = mc^2 is dimensionally correct.

Answer:

-36

Step-by-step explanation:

If they asked (-6)^2 then it would be 36

Answer:

-36

Step-by-step explanation:

Normally, 6²=36 but because it is -6, multiply 6 by itself and add the negative sign.

Answer:

2.81

Step-by-step explanation:

[tex]4*1.6^x=15\\\\1.6^x=\dfrac{15}{4} \\\\x*ln (1.6)=ln (3.75)\\\\x=\dfrac{ln(3.75)}{ln(1.6)} \\\\x=2.81222475...\approx{2.81}[/tex]