For how many minutes did Lynn run at a greater speed
than Kael?
0 12
O 17
O 23
O 28

====================================

Work Shown:

a^2+b^2 = c^2  ... pythagorean theorem

c = sqrt(a^2+b^2)

c = sqrt(4^2+12^2)

c = 12.6491106406736

c = 12.65

Answer:

Step-by-step explanation:

Given,

Height of the triangle = 4

Base of the triangle = 12

Therefore,

Hypotenuse of the triangle

[tex] {(base)}^{2} + {(height)}^{2} = {(hypotenuse)}^{2} [/tex]

[tex] = > {(12)}^{2} + {(4)}^{2} = {(hypotenuse)}^{2} [/tex]

[tex] = > {(hypotenuse)}^{2} = 144 + 16[/tex]

[tex] = > {(hypotenuse)}^{2} = 160[/tex]

[tex] = > hypotenuse = \sqrt{160} [/tex]

[tex] = > hupotenuse = \sqrt{5 \times 2 \times 2 \times 2 \times 2 \times 2} [/tex]

[tex] = > hypotenuse = 2 \times 2 \sqrt{5 \times 2} [/tex]

[tex] = > hypotenuse = 4 \sqrt{10} \: (ans)[/tex]

Answer:

Step-by-step explanation:

A

Answer:

Answer is 6.1 units

Step-by-step explanation:

The measure of length of AB in the triangle ABC is 6.1 units.

The sides and angles of a right-angled triangle are dealt with in Trigonometry. The ratios of acute angles are called trigonometric ratios of angles. The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).

In the given triangle ABC, BC=5 and ∠A=55°.

We know that, sinθ= Opposite leg length/Hypotenuse length

Here, sinA=BC/AB

sin55°=5/AB

0.82=5/AB

AB=5/0.82

AB=6.1 units

Therefore, the measure of length of AB in the triangle ABC is 6.1 units.

Learn more about the trigonometric ratios here:

brainly.com/question/25122825.

#SPJ2

Step-by-step explanation:

the answer is 6.125 and its will be divided by 125

Answer:

76° is the other one

Step-by-step explanation:

nope, no precise calculation here. the option are thankfully enough apart that solving it graphically is just fine. look at the screenshot. the upper intersection is the one with the 7° angle

the lower one is somewhat less than 90° :P

Answer:

76 is the other

Step-by-step explanation:

Answer: 2x+5

Step-by-step explanation:

(5x + 3) – (3x – 2)

5x+3-3x+2

2x+5

Answer:

[tex]\huge\boxed{\boxed{\underline{\textsf{\textbf{Answer}}}}}[/tex]

╭⋟───────────────

[tex](5x+ 3) - (3x - 2) \\ = 5x + 3 - 3x + 2 \\ = 5x - 3x + 3 + 2 \\ = 2x + 5[/tex]

───────────────⋞╯

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐

Answer:

2, 3, 5, 8, 13 missing number is 18.

Answer:

0.3 probability that [tex]x \leq -3[/tex]

Step-by-step explanation:

The probability distribution is given in the table.

Probability that x <= -3

The values that are -3 or lower are -3 and -5. So

[tex]P(X \leq -3) = P(X = -3) + P(X = -5)[/tex]

From the table:

[tex]P(X = -3) = 0.13, P(X = -5) = 0.17[/tex]. So

[tex]P(X \leq -3) = P(X = -3) + P(X = -5) = 0.13 + 0.17 = 0.3[/tex]

0.3 probability that [tex]x \leq -3[/tex]

Answer:0.3

Step-by-step explanation:

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

Pick a point (such as K, L, or M). Count one grid square to the left and 7 up. That is its new location.

Answer:

El p-value de lo teste es de 0.0475 > 0.01, o que implica que con base en estos datos, no es posible concluir que el IQ medio para la población es menor de 100.

Step-by-step explanation:

Teste que IQ medio para la población es menor de 100

En la hipótese nula, lo teste es se el IQ medio eres de al menos 100, o sea:

[tex]H_0: \mu \geq 100[/tex]

En la hipótese alternative, lo teste es se el IQ medio es menor de 100, o sea:

[tex]H_1: \mu < 100[/tex]

La estatistica de teste es:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

En que X es el promedio de la muestra, [tex]\mu[/tex] es lo valor testado en la hipótese nula, [tex]\sigma[/tex] es la desviacion estandar y n es lo tamaño de la muestra.

100 testado en la hipótese nula:

Entonces [tex]\mu = 100[/tex]

Desviácion esstándar de 15: Una muestra aleatoria de 25 adultos procedentes de esa población tiene un IQ medio de 105.

Esto significa que [tex]\sigma = 15, n = 25, X = 105[/tex]

Estatisitica de teste:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{105 - 100}{\frac{15}{\sqrt{25}}}[/tex]

[tex]z = 1.67[/tex]

P-value de lo teste e decisión:

El p-value de lo teste es la probabilidad de encontrar una amostra com média abajo de 105, que es 1 subtraído por el p-value de z = 1.67.

En la tabla-z, z = 1.67 tiene un p-value de 0.9525.

1 - 0.9525 = 0.0475

El p-value de lo teste es de 0.0475 > 0.01, o que implica que con base en estos datos, no es posible concluir que el IQ medio para la población es menor de 100.

Answer:

z (min) = 360      x₁  =  x₃ = 0   x₂ = 3

Step-by-step explanation:

                             Protein      Carbohydrates    Iron      calories

Food 1  (x₁)               10                       1                   4              80

Food 2 (x₂)               15                       2                  8              120

Food 3 (x₃)               20                       1                  11              100

Requirements         40                        6                 12

From the table we get

Objective Function z :

z  =  80*x₁   +  120*x₂   +   100*x₃     to minimize

Subjet to:

Constraint 1.  at least 40 U of protein

10*x₁  +  15*x₂ + 20*x₃  ≥  40

Constraint 2. at least  6 U of carbohydrates

1*x₁  +  2*x₂  + 1*x₃    ≥  6

Constraint 3.  at least  12 U of Iron

4*x₁   +  8*x₂  +  11*x₃  ≥  12

General constraints:

x₁    ≥  0     x₂   ≥  0    x₃   ≥  0    all integers

With the help of an on-line solver after 6 iterations the optimal solution is:

z (min) = 360      x₁  =  x₃ = 0   x₂ = 3

Answer:

Part 1)

5.5 inches.

Part 2)

[tex]y=-2.5t+18[/tex]

Step-by-step explanation:

We can write a linear equation to model the function.

Let y represent the inches of snow and let t represent the number of hours since the end of the snowstorm.

A linear equation is in the form:

[tex]y=mt+b[/tex]

Since there was 18 inches of snow in the beginning, our y-intercept or b is 18.

Since it melts at a constant rate of 2.5 inches per hour, our slope or m is -2.5.

Substitute:

[tex]y=-2.5t+18[/tex]

This equation models how much snow Jamal will have on his lawn after t hours of snow melting.

So, after five hours, t = 5. Substitute and evaluate:

[tex]y=-2.5(5)+18=5.5\text{ inches}[/tex]

After five hours, there will still be 5.5 inches of snow.

Answer:

the answer of the the triangle is 6

Answer:

6

Step-by-step explanation:

First row:

8 ÷ 2 = 4. → Square: 4

Second row:

14 - 4 = 10.

[two circles] = 10. So, 10÷2 = 5.

Circle = 5

Third Row:

[triangle] + 5 = 11

11 - 5 = 6

Triangle = 6

Answer:

10 units

Step-by-step explanation:

Given that,

The area is modeled by the equation as follows :

[tex]A=-l^2-10l+300[/tex]

Where

l is the linear dimensions of the frame.

Put A = 100

So,

[tex]-l^2-10l+300=100\\\\-l^2-10l+200=0\\\\l=10,-20[/tex]

So, the linear dimension of the frame is equal to 10 units.

Answer:

-√3/2

Step-by-step explanation:

Given the expression:

Cos(7π/6)

Conver to degrees

=  Cos(7(180)/6)

= cos 210

= -√3/2

Hence the value of cos(7π/6) is -√3/2

Answer:

decrease by 5

Step-by-step explanation:

n= 10

then in sequence,

n= n-5

Answer:

May the ans will help you.

Answer:

680

Step-by-step explanation:

Ratio of red to white 4 : 7

Number of white = 280

White + red buttons = x

7x / 11 = 280

7x = 280 * 11

7x = 3080

x = 3080 / 7

x = 440

Number of red buttons 440 - 280 = 160

Number of red bottons ;

Blue + red buttons = x

3 : 2 ; blue : red

3 + 2 = 5 ;

2x / 5 = 160

2x = 160 * 5

2x = 800

x = 800 / 2

x = 400

Number of Blue buttons :

400 - 160 = 240

Total :

White + red + blue

280 + 160 + 240 = 680 buttons

Answer:

23.42

Step-by-step explanation:

If something is decreasing by 7% we can mulitply it by (1-.07) or .93

so our formula is

100(.93)²⁰= 23.42388737

which rounds to 23.42

Using the exponential decline function ; the cost of the item after 20 years would be $23.42

Recall :

Substitute the values into the equation :

[tex] y = 100(1 - 0.07)^{20} [/tex]

[tex] y = 100(0.93)^{20} [/tex]

[tex] y = 100(0.23423887366)[/tex]

y = $23.42

Therefore, the cost of the item after 20 years is $23.42

Learn more : https://brainly.com/question/8317316

Answer:

y = (-1/5)x + 23/5

Step-by-step explanation:

Given:

Two points;

(-2,5) and (3,4)

Find:

Equation of slope

Computation:

y = mx + b

5 = m(-2) + b

5 = -2m + b .......... Eq1

4 = m(3) + b

4 = 3m + b .......... Eq2

Eq2 - Eq1

-1 = 5m

m = -1/5

5 = -2m + b

5 = -2(-1/5) + b

5 = 2/5 + b

b = 23/5

y = mx + b

y = (-1/5)x + 23/5

Answer:

The limit is 0, and the answer is given by option E.

Step-by-step explanation:

Limit to the right:

The limit of a function approacing a value of x to the right is given by the value of the function quite close to the point, looking to the right.

In this question:

Approacing by the right(x quite close, but more than -1, that is, -0.9999...), y tends to 0, so the limit is 0, and the answer is given by option E.

Answer:

[tex]1\frac{9}{12}[/tex]

Step-by-step explanation:

Convert any whole numbers to improper fractions

[tex]\frac{9}{4}-\frac{3}{6}[/tex]

Find the LCM of the denominators and use multiplication to change the denominators to the LCM

[tex]\frac{27}{12}-\frac{6}{12}[/tex]

Subtract

[tex]\frac{21}{12}[/tex]

Simplify

[tex]1\frac{3}{4}[/tex]

[tex]1\frac{9}{12}[/tex] can be simplified to [tex]1\frac{3}{4}[/tex] so the answer is [tex]1\frac{9}{12}[/tex]

Answer:

[tex]h(x) = \sqrt{x+5}[/tex], option C.

Step-by-step explanation:

The parent function is [tex]f(x) = \sqrt{x}[/tex]

Function h:

Function h is function f shifted left 5 units.

Shifting a function f a units to the left is the same as finding [tex]f(x+a)[/tex]

Thus:

[tex]h(x) = f(x+5) = \sqrt{x+5}[/tex]

The function is [tex]h(x) = \sqrt{x+5}[/tex], and thus, the correct answer is given by option C.

Answer:

          c        

Step-by-step explanation:

Answer:

maybe u missplaced it somehow and it also would depend if you trust that person or not. some times that 'friend' can turn out to be fake but i don't mean it about ur friend. for now, u should just ask, there's no harm in that.

Answer:

1/2

Step-by-step explanation:

numbers taken = 1 to 40

multiples of 2 are = {2,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36,38,40}

so there are 20 favourable  outcomes.

probability = 20/40

=1/2

for multiples of 3

multiples = {3,6,9,12,15,18,21,24,27,30,33,36,39}

there are 13 favourable outcomes

probability = 13/40

since there is no 13/40 the answer should be the probability of multiples of 2 i.e 1/2

the answer is :

x+1 and x+2

Answer:

900+1=901

Step-by-step explanation: