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3 years ago

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(word problem) DeltaMath

1 answer:

solong [7]3 years ago

4 0

Answer:ur electric loveeeeee

Step-by-step explanation:

ohhhhhhhhhhhhh

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The vertex angle of an isosceles triangle measures 40°. What is the measure of a base angle?

disa [49]

<span>Triangle is 180 degrees, so you will subtract 50 from 180 which will give you 130.</span>

8 0

3 years ago

Work out (3.6 x 10^-5) ÷ (1.8 x 10^2) give your answer in standard form

tatuchka [14]

.000036/180=.0000002

3 0

4 years ago

Directions: Match the product and quotients estimates below with the correct expression on the left

prohojiy [21]

Answer:

Answer is in attached image.

Step-by-step explanation:

Given the expressions, for which we have to find the estimates as per the expressions on the left.

The given expressions are:

1) 35 $\times$ 23

2) 132 $\div$ 168

3) 17.3 $\times$ 18.4

4) 999 $\div$ 208

5) 998 $\times$ 211

Here, we need to find the rounded off numbers.

35 can be rounded to 40 and 23 to 20.

Therefore, equivalent to 35 $\times$ 23 is 40 $\times$ 20

132 can be rounded to 130 and 168 to 170.

Therefore, equivalent to 132 $\div$ 168 is 130 $\div$ 170.

17.3 can be rounded to 17.0 and 18.4 to 18.0.

Therefore, equivalent to 17.3 $\times$ 18.4 is 17.0 $\times$ 18.0.

999 can be rounded to 1000 and 208 to 210.

Therefore, equivalent to 999 $\div$ 208 is 1000 $\div$ 210.

998 can be rounded to 1000 and 211 to 210.

Therefore, equivalent to 998 $\times$ 211 is 1000 $\times$ 210.

The solution can be found in the attached image as well.

8 0

3 years ago

A point H is 20m away from the foot of a tower on the same horizontal ground. From the point H, the angle of elevation of the po

astra-53 [7]

Answer:

a. See Attachment 1

b. $PT = 12.3\ m$

c. $HT = 31.1\ m$

d. $OH = 28.4\ m$

Step-by-step explanation:

Calculating PT

To calculate PT, we need to get distance OT and OP

Calculating OT;

We have to consider angle 50, distance OH and distance OT

The relationship between these parameters is;

$tan50 = \frac{OT}{20}$

Multiply both sides by 20

$20 * tan50 = \frac{OT}{20} * 20$

$20 * tan50 = OT$

$20 * 1.1918 = OT$

$23.836 = OT$

$OT = 23.836$

Calculating OP;

We have to consider angle 30, distance OH and distance OP

The relationship between these parameters is;

$tan30 = \frac{OP}{20}$

Multiply both sides by 20

$20 * tan30 = \frac{OP}{20} * 20$

$20 * tan30 = OP$

$20 * 0.5774= OP$

$11.548 = OP$

$OP = 11.548$

$PT = OT - OP$

$PT = 23.836 - 11.548$

$PT = 12.288$

$PT = 12.3\ m$ (Approximated)

--------------------------------------------------------

Calculating the distance between H and the top of the tower

This is represented by HT

HT can be calculated using Pythagoras theorem

$HT^2 = OT^2 + OH^2$

Substitute 20 for OH and $OT = 23.836$

$HT^2 = 20^2 + 23.836^2$

$HT^2 = 400 + 568.154896$

$HT^2 = 968.154896$

Take Square Root of both sides

$HT = \sqrt{968.154896}$

$HT = 31.1\ m$ <em>(Approximated)</em>

--------------------------------------------------------

Calculating the position of H

This is represented by OH

See Attachment 2

We have to consider angle 50, distance OH and distance OT

The relationship between these parameters is;

$tan50 = \frac{OH}{OT}$

Multiply both sides by OT

$OT * tan50 = \frac{OH}{OT} * OT$

$OT * tan50 = {OH$

$OT * 1.1918 = OH$

Substitute $OT = 23.836$

$23.836 * 1.1918 = OH$

$28.4= OH$

$OH = 28.4\ m$ <em> (Approximated)</em>

5 0

3 years ago

Factorise fully<br>10c + 25

liq [111]

Answer:

5(2c+5)

I hope this helps

8 0

3 years ago