Please help ASAP please

In which number does the digit 4 have a value that is 10 times as great as the value of the digit 4 in 348,971? 284,796 or 327,4

Doss [256]

Answer:

The number is 492,875.

Step-by-step explanation:

Given:

A number that is = $348,971$

Place value of 4 = $40,000$

Place value is ten thousands.

We have to identify the number where the place value of 4 is 10 times of the given number.

Numbers given:

284,796 or 327,498 or 492,875 and 742,186.

Lets see the place value of 4 in each of the number.

⇒

$284,796$ place value of $4$ is $4,000$ .
Place value of 4 is thousands.

⇒

$327,498$ place value of $4$ is $400$ .
Place value of 4 is hundreds.

⇒

$492,875$ place value of $4$ is $4,00,000$ .
Place value of 4 is hundred thousands.

⇒

$742,186$ place value of $4$ is $40,000$ .
Place value of 4 is ten thousands.

Notes:

Ten thousands multiplied with ten is hundreds thousand.

⇒ $10,000\times 10 =1,00,000$

So,

The number which has digit 4 as hundred thousands place values is 492,875.

4 0

3 years ago

Describe what a transformation is in geometry. In 2-4 sentences

Setler [38]

A transformation is a general term for four specific ways to manipulate the shape of a point, a line, or shape. The original shape of the object is called pre-image and the final shape and position is the image under the transformation.

3 0

3 years ago

There are 300 apples and peaches for sale at a farmers market. The ratio of the number of apples to the number of peaches is 7:8

Sidana [21]

Answer:

The ratio of the reaming apples to peaches is 3 : 4

Step-by-step explanation:

* Lets solve the problem

- There are 300 apples and peaches

- The ratio of the number of apples to the number of peaches is 7 : 8

- To find the the numbers of apples and peaches add the terms of the

ratio and then divide the total number of apples and peaches by this

sum and then multiply each terms of the ratio by this quotient

∵ The ratio of apples to peaches = 7 : 8

∴ apple : peach : sum

7 : 8 : 15

? : ? : 300

∴ The number of apples = (300 ÷ 15) × 7 = 20 × 7 = 140 apples

∴ The number of peaches = (300 ÷ 15) × 8 = 20 × 8 = 160 peaches

- 50 apples and 40 peaches are sold

∴ The remaining number of apples = 140 - 50 = 90 apples

∴ The remaining numbers of peaches = 160 - 40 = 120 peaches

- To find the ratio simplify the numbers to its simplest form

∵ There are 90 apples and 120 peaches

∴ apple : peach

90 : 120 ⇒ divided both by 10

∴ 9 : 12 ⇒ divide both by 3

∴ 3 : 4

∴ The ratio of the reaming apples to peaches is 3 : 4

4 0

3 years ago

The diagram shows how cos θ, sin θ, and tan θ relate to the unit circle. Copy the diagram and show how sec θ, csc θ, and cot θ r

DIA [1.3K]

Copy the diagram and show how sec θ, csc θ, and cot θ relate to the unit circle.

The representation of the diagram is shown if Figure 1. There's a relationship between sec θ, csc θ, and cot θ related the unit circle. Lines green, blue and pink show the relationship.

a.1 First, find in the diagram a segment whose length is sec θ.

The segment whose length is sec θ is shown in Figure 2, this length is the segment $\overline{OF}$ , that is, the line in green.

a.2 Explain why its length is sec θ.

We know these relationships:

(1) $sin \theta=\frac{\overline{BD}}{\overline{OB}}=\frac{\overline{BD}}{r}=\frac{\overline{BD}}{1}=\overline{BD}$

(2) $cos \theta=\frac{\overline{OD}}{\overline{OB}}=\frac{\overline{OD}}{r}=\frac{\overline{OD}}{1}=\overline{OD}$

(3) $tan \theta=\frac{\overline{FD}}{\overline{OC}}=\frac{\overline{FC}}{r}=\frac{\overline{FC}}{1}=\overline{FC}$

Triangles ΔOFC and ΔOBD are similar, so it is true that:

$\frac{\overline{FC}}{\overline{OF}}= \frac{\overline{BD}}{\overline{OB}}$ 

∴ $\overline{OF}= \frac{\overline{FC}}{\overline{BD}}= \frac{tan \theta}{sin \theta}= \frac{1}{cos \theta} \rightarrow \boxed{sec \theta= \frac{1}{cos \theta}}$ 

b.1 Next, find cot θ

The segment whose length is cot θ is shown in Figure 3, this length is the segment $\overline{AR}$ , that is, the line in pink.

b.2 Use the representation of tangent as a clue for what to show for cotangent.

It's true that:

$\frac{\overline{OS}}{\overline{OC}}= \frac{\overline{SR}}{\overline{FC}}$

But:

$\overline{SR}=\overline{OA}$
$\overline{OS}=\overline{AR}$

Then:

$\overline{AR}= \frac{1}{\overline{FC}}= \frac{1}{tan\theta} \rightarrow \boxed{cot \theta= \frac{1}{tan \theta}}$

b.3 Justify your claim for cot θ.

As shown in Figure 3, θ is an internal angle and ∠A = 90°, therefore ΔOAR is a right angle, so it is true that:

$cot \theta= \frac{\overline{AR}}{\overline{OA}}=\frac{\overline{AR}}{r}=\frac{\overline{AR}}{1} \rightarrow \boxed{cot \theta=\overline{AR}}$

c. find csc θ in your diagram.

The segment whose length is csc θ is shown in Figure 4, this length is the segment $\overline{OR}$ , that is, the line in green.

3 0

4 years ago

1.4 in the power of 2

Yakvenalex [24]

1.96 you would take 1.4 squared

4 0

3 years ago