Easy question: 9.75 x 3.5 = ? (15 points)

Given :

Two similar triangles ΔABC and ΔSTU .

To Find :

The value of x.

Solution :

Since, ΔABC and ΔSTU are similar, so ratio of their sides are equal.

[tex]\dfrac{AB}{AC} = \dfrac{SU}{ST}\\\\\dfrac{x}{21}=\dfrac{13}{5}\\\\x = \dfrac{21\times 13}{5}\\\\x = 54.6[/tex]

Therefore, value of x is 54.6 .

Answer: x = 30°, and y = 46°

Step-by-step explanation: If we take a look at the attachment below, we will find x = 30°, and y = 46°;

Answer:

D

Step-by-step explanation:

Answer:

u can try to get sleep and make sure to study

Step-by-step explanation:

i really don't know

Answer:

First Gardener.

Step-by-step explanation:

1st gardener= 56 divided by 8= 7 bushes <---

2nd gardener= 45 divided by 5= 9 bushes

3rd gardener= 80 divided by 10= 8

Answer:

v=20

you set IH and FG equal to each other and solve

Answer:

(x - 6)(x - 4)

Step-by-step explanation:

(x² - 10x + 24)

(x - 6)(x - 4)

The factors are x - 6 and x - 4.

Answer:

c and a hope this helps

Step-by-step explanation:

Answer:

0.1350 = 13.50% probability that an 18-year-old man selected at random is between 68 and 70 inches tall

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

[tex]\mu = 69, \sigma = 6[/tex]

What is the probability that an 18-year-old man selected at random is between 68 and 70 inches tall?

This is the pvalue of Z when X = 70 subtracted by the pvalue of Z when X = 68. So

X = 70

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{70 - 69}{6}[/tex]

[tex]Z = 0.17[/tex]

[tex]Z = 0.17[/tex] has a pvalue of 0.5675

X = 68

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{68 - 69}{6}[/tex]

[tex]Z = -0.17[/tex]

[tex]Z = -0.17[/tex] has a pvalue of 0.4325

0.5675 - 0.4325 = 0.1350

0.1350 = 13.50% probability that an 18-year-old man selected at random is between 68 and 70 inches tall

Answer:

The missing value of x is 3

Step-by-step explanation:

Given Table:

 x     y

3      10

__    20

The relation of x and y (x,y) is not a function.

Relation is function if it is one-to-one.

One-to-one means to different value of x to get different value of y.

If function is not a function then one value of x to get two different value of y.

For first value of x=3, y=10

For which value of x= ? , y=20

x must be 3

x=3 to get y=20

The missing value of x is 3 because same of x we get two different value of y.

Step-by-step explanation:

Answer:

$22.50

Step-by-step explanation:

So if each topping cost 2.50 then just multiply by 9

Answer:

Step-by-step explanation:

The missing histogram file is attached in the image below.

From the graph, deduce that:

the servings of fruits and vegetable                     number of students

0                                                                             1

1                                                                             4

2                                                                             5

3                                                                             10

4                                                                             8

5                                                                             3

6                                                                             0

7                                                                             1

Thus, the percentage of students surveyed that eat more than 3 whole servings is:

= starting from 4 = (8+3+0+1)/32 = 0.375

Step-by-step explanation:

the first option is the correct answer.

Answer:

It is A

Step-by-step explanation:

Hope this helped have an amazing day/month/year!

Answer:

SAS

Step-by-step explanation:

Because SAS is when the angle and one side are the same lenght, and i know that the two sides are the same because of the line :)

Answer:

AAS, or Angle Angle Side

Answer:

-1/3^3y^2

Step-by-step explanation:

Answer:

43

Step-by-step explanation:

If this is the full question; What are the potential solutions to the equation below? 2In(x+3)=0

then the answer is; 2ln(x + 3) = 0

ln[(x + 3)²] = 0      

(x + 3)² = 1

x + 3 = ±√1

x + 3 = ±1

x = 1 - 3, -1 - 3

x = -2, -1 - 3

x = -2, -4

when checking solution; x = -4 in the original equation does not hold true. so you drop x = -4 from the solution set.

therefore;

x = -2

hope this helps, God bless!

Answer:

c

Step-by-step explanation:

Answer: 63 ft

Step-by-step explanation:

We can think of the shadow and height of objects as the catheti of a triangle rectangle.

We also know the relationship:

Tan(θ) = (opposite cathetus)/(adjacent cathetus)

if we define:

Tan(θ) = k (a real number, such that will be the same number for every object, because it depends on the angle θ that will depend on the position of the sun)

opposite cathetis = heigt.

adjacent cathetus = length of the shadow.

Then we have:

k = height/length of the shadow.

For the mailbox, we know that the height is (4 + 1/2) ft and the shadow is 6ft long, then we have the equation:

k = (4 + 1/2)ft/6ft = 0.75

Then for the ferris wheel we know:

shadow length = 84ft

we can write the same equation as above:

k = 0.75 = height/84ft

0.75*84ft = height = 63ft

The ferris wheel is 63 ft high.

Answer:

63 feet

Step-by-step explanation:

Trust me got it right

Answer:

Hi! The correct answer is x=3!

Step-by-step explanation:

~Isolate the variable by dividing each side by factors that don't contain the variable~

Answer:

x=3

Step-by-step explain

1

Distribute

−3 0 = 5 (