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3 years ago

Name the place of the highlighted digit. then write the value of the digit 35.052

Mathematics

2 answers:

AysviL [449]3 years ago

7 0

Solution:

Given: 35.052

The standard form is: 35.052

3 is in the tens place. 3 = 3 × 1

5 is in the tens place. 5 = 5 × 1

0 is in the tenths place. 0.0 = 0 × 1/10

5 is in the tenths place. 0.05 = 5 × 1/100

2 is in the tenths place. 0.002 = 2 × 1/1000

kakasveta [241]3 years ago

4 0

Answer:

3 has a value of 30, 5 has a value of 50, the second 5 has a value of 0.05 and 2 have a value of 0.002 in the given number.

Step-by-step explanation:

We are given the number 35.052

Number: Tens Ones.Tenths Hundredths Thousandths

35.052 3 5 . 0 5 2

3 is in tens place so value of 3 is $3\times10=30$

5 is in ones place, so value of 5 is $5\times1=5$

0 is in tenths place, so it has a value of $0\times\frac{1}{10}=0$

5 is in hundredths place, so it has a value $5\times\frac{1}{100}=0.05$

2 is in thousandths oplace, so it has a value of $2\times\frac{1}{1000}=0.002$

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2 years ago

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nika2105 [10]

Answer:

The correct option is Option D) A=-0.7,B=-9/16,C=-0.4,D=-5/16

Step-by-step explanation:

Consider the provided number line.

From the number line we can observed that:

1) A, B, C and D lies between -1 and 0.

2) Point A and B lies between -1 and -0.5

3) Point C and D lies between -0.5 and 0

Therefore, the value of A and B must have a negative value lying between -1 and -0.5

Also, the value of C and D must have a negative value lying between -0.5 and 0.

Now consider the provided options.

Option A) A=-5/16,B=-9/16,C=-0.7,D=-0.4

This is Incorrect representation because the value of C and D should lying between -0.5 and 0.

Option B) A=-0.4,B=-0.7,C=-5/16,D=9/16

This is Incorrect representation because the value of A and B should lying between -1 and -0.5.

Option C) A=9/16,B=-5/16,C=-0.4,D=-0.7

This is Incorrect representation because the value of C and D should lying between -0.5 and 0.

Option D) A=-0.7,B=-9/16,C=-0.4,D=-5/16

$A = -0.7\\B = -\displaystyle\frac{9}{16} = -0.5625\\C = -0.4\\D = -\frac{5}{16} = -0.3125$

Here the value of A and B lying between -1 and -0.5 also the value of C and D lying between -0.5 and 0.

Also they are in ascending order from -1 to 0.

Hence, the correct option is Option D) A=-0.7,B=-9/16,C=-0.4,D=-5/16

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3 years ago

(Prove) The angle subtended by an arc at the center is double the angle subtended by it at any

Pavlova-9 [17]

Answer:

The angle subtended by an arc at the center is double the angle subtended by it at any point on the remaining part of the circle.

Step-by-step explanation:

Let us consider the image attached.

Center of circle be O.

Arc AB subtends the angle $\angle APB$ on the circle and $\angle AOB$ on the center of the circle.

To prove:

$\angle AOB = 2 \times \angle APB$

Proof:

In $\triangle PAO$ : AO and PO are radius of the circles so AO = PO

And angles opposite to equal sides of a triangle are also equal in a triangle.

So, $\angle PAO = \angle OPA$

Using external angle property, that external angle is equal to sum of two opposite internal angles of a triangle.

$\angle AOQ = \angle PAO + \angle OPA=2 \times \angle APO .... (1)$

Similarly,

In $\triangle PBO$ : BO and PO are radius of the circles so BO = PO

And angles opposite to equal sides of a triangle are also equal in a triangle.

So, $\angle PBO = \angle OPB$

Using external angle property, that external angle is equal to sum of two opposite internal angles of a triangle.

$\angle BOQ = \angle PBO + \angle OPB=2 \times \angle BPO .... (2)$

Now, we can see that:

$\angle AOB = \angle AOQ+\angle BOQ$

Using equations (1) and (2):

$\angle AOB = 2\angle APO+2\angle BPO\\\angle AOB = 2(\angle APO+\angle BPO)\\\bold{\angle AOB = 2(\angle APB)}$

Hence, proved.

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3 years ago

Garrett Jones gathered 97 bushels of oranges from his orange trees. How many pecks did he gather? How many quarts did he gather?

saveliy_v [14]

Answer: Garrett Jones gathered 388 pecks of oranges.

Garrett Jones gathered 3104 quarts of oranges.

Step-by-step explanation:

Given: Garrett Jones gathered 97 bushels of oranges from his orange trees.

Since 1 bushel= 4 pecks

Therefore, 97 bushels = $4\times97=388\ \text{pecks}$

Hence, Garrett Jones gathered 388 pecks of oranges.

Also, 1 peck= 8 quarts

Therefore, 388 pecks= $8\times388=3104\text{ quarts}$

Hence, Garrett Jones gathered 3104 quarts of oranges.

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3 years ago